BIMSA > Wen-An Yong
Professor Wen-An Yong

Affiliation: Tsinghua University, BIMSA

Group: Computational Mathematics

Email: yongwenan@bimsa.cn

Research Field: Theoretical Analysis and Numerical Methods of Application of Partial Differential Equations

Biography

Prof. Wen-An Yong's main research fields are partial differential equations, numerical methods and non-equilibrium thermodynamics. He systematically established the mathematical theory on relaxation problems of hyperbolic partial differential equations, including the existence and stability of zero relaxation limit, the existence and long-time behavior of global smooth solutions, the validity of Chapman-Enskog expansion, the formulation of boundary conditions and the derivation of limiting boundary conditions, boundary control, etc., and found the intrinsic commonness of such problems (Yong's stability condition). He proposed the conservation-dissipation theory (CDF) of nonequilibrium thermodynamics, which has been successfully applied to the fields of biology and geoscience, and put forward the mathematical model (Yong's model) that has been verified by experiments to describe flows of compressible viscoelastic fluids. In computational fluid dynamics, he proved the stability and convergence of the lattice Boltzmann method widely used in engineering, and first proposed the single-node boundary scheme (ZY method) for this numerical method, which has been widely used. His main results were published in well-known international journals in related fields, such as Arch. Rational Mech. Anal., Automatica, J. Comput. Phys., Philos. Trans. Royal Soc. A, Siam series etc., some of which have been adopted by several authoritative monographs and textbooks.

Research Interest

  • Mathematical Modeling, Machine Learning
  • Non-equilibrium Thermodynamics
  • Numerical Methods, Computational Fluid Dynamics
  • Applied Partial Differential Equations

Education Experience

  • 1989 - 1992      University of Heidelberg      Doctor      Dr.rer.nat.
  • 1984 - 1987      Institute of Computational Mathematics and Scientific & Engineering Computing, Chinese Academy of Sciences      Master
  • 1980 - 1984      Sun Yat-sen University      Bachelor
  • - 2005      University of Heidelberg      Habilitation

Work Experience

  • 2021 -      BIMSA      Professor
  • 2005 -      Tsinghua University      Professor
  • 1998 - 2005      University of Heidelberg      Assistant Professor (C1)
  • 1993 - 1998      University of Heidelberg      Research Associate
  • 1993 - 1993      ETH Zurich      Postdoc
  • 1987 - 1989      Beijing Institute of Applied Physics and Computational Mathematics      Assistant Professor

Honors and Awards

  • 2018      Member of the International Scientific Advisory Board of UKCOMES (Consortium on Mesoscale Engineering Sciences, United Kingdom)

Publication

  • [1] Zhiting Ma, Juntao Huang, Wen-An Yong, Uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for linear hyperbolic relaxation systems, Mathematics of Computation (2025)
  • [2] Zhiting Ma, Wen-An Yong, Yi Zhu, A thermodynamics-based turbulence model for isothermal compressible flows (2025)
  • [3] Y Chen, Q Huang, WA Yong, R Zhang, Poisson quadrature method of moments for 2D kinetic equations with velocity of constant magnitude, Multiscale Modeling & Simulation, 23(1), 577-610 (2025)
  • [4] Q Huang, C Rohde, WA Yong, R Zhang, A hyperbolic relaxation system of the incompressible Navier-Stokes equations with artificial compressibility, arXiv preprint arXiv:2411.15575 (2024)
  • [5] Zhou, Yizhou, and Wen-An Yong, Boundary conditions for hyperbolic relaxation systems with characteristic boundaries, arXiv preprint arXiv:2409.01916 (2024)
  • [6] Yang, Haitian, and Wen-An Yong, Feedback boundary control of multi-dimensional hyperbolic systems with relaxation, Automatica, 167, 111791 (2024)
  • [7] Zhang, Ruixi, Qian Huang, and Wen-An Yong, Stability analysis of an extended quadrature method of moments for kinetic equations, SIAM Journal on Mathematical Analysis, 56(4), 4687-4711 (2024)
  • [8] Zhang, Ruixi, Yihong Chen, Qian Huang, and Wen-An Yong, Dissipativeness of the hyperbolic quadrature method of moments for kinetic equations, arXiv preprint arXiv:2406.13931 (2024)
  • [9] Chen, Yihong, Qian Huang, and Wen-An Yong, Discrete-Velocity-Direction Models of BGK-Type with Minimum Entropy: II—Weighted Models, Journal of Scientific Computing, 99(3), 84 (2024)
  • [10] Zhao, Jin, and Wen-An Yong, Vectorial finite-difference-based lattice Boltzmann method: Consistency, boundary schemes and stability analysis, Journal of Computational and Applied Mathematics, 441, 115677 (2024)
  • [11] H Yang, WA Yong, Boundary control of multi-dimensional discrete-velocity kinetic models, arXiv preprint arXiv:2312.10581 (2023)
  • [12] H Yang, WA Yong, Feedback boundary control of 2-D hyperbolic systems with relaxation, arXiv preprint arXiv:2310.09707 (2023)
  • [13] Z Ma, WA Yong, Nonrelativistic limit of the Euler‐HMPapproximation models arising in radiation hydrodynamics, Mathematical Methods in the Applied Sciences, 46(13), 13741-13780 (2023)
  • [14] J Huang, Y Cheng, AJ Christlieb, LF Roberts, WA Yong, Machine learning moment closure models for the radiative transfer equation II: Enforcing global hyperbolicity in gradient-based closures, Multiscale Modeling & Simulation, 21(2), 489-512 (2023)
  • [15] Qian Huang， Yihong Chen， Wen-An Yong, Discrete-velocity-direction models of BGK-type with minimum entropy: I. Basic idea, Journal of Scientific Computing, 95(3), 80 (2023)
  • [16] Zhiting Ma，Wen-An Yong, Non-relativistic limit of the Euler-$HMP_N$ approximation model arising in radiation hydrodynamics, Math. Meth. Appl. Sci., 46(2023), 13741-13780
  • [17] Juntao Huang, Yingda Cheng, Andrew J. Christlieb, Luke F. Roberts, and Wen-An Yong, Machine learning moment closure models for the radiative transfer equation II: enforcing global hyperbolicity in gradient based closures, Multiscale Modeling and Simulation, 21(2023), 2, 489-512
  • [18] Qian Huang , Julian Koellermeier , Wen-An Yong, Equilibrium stability analysis of hyperbolic shallow water moment equations, Mathematical Methods in the Applied Sciences, 45(10), 6459-6480 (2022)
  • [19] Fansheng Xiong, and Wen-An Yong, Learning stable seismic wave equations for porous media from real data, Geophysical Journal International, 230(1), 349-362 (2022)
  • [20] Jin Zhao, Weifeng Zhao, Zhiting Ma, Wen-An Yong, and Bin Dong, Finding models of heat conduction via machine learning, International Journal of Heat and Mass Transfer, 185, 122396 (2022)
  • [21] XX Cao, WA Yong, Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model, arXiv preprint arXiv:2203.04069, (), -, (2022)
  • [22] YZ Zhou, W. Yong, Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type II, Journal of Differential Equations, 310, 198-234 (2022)
  • [23] Juntao Huang & Yizhou Zhou & Wen-An Yong, Data-driven discovery of multiscale chemical reactions governed by the law of mass action, J. Comput. Phys. 448:11 (2022), 110743.
  • [24] Yizhou Zhou & Wen-An Yong, Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type II, J. Differ. Equations 310:5 (2022), 198–234.
  • [25] Xiaxia Cao, Wen-An Yong, Construction of Boundary Conditions for Hyperbolic Relaxation Approximations. II: Jin-Xin Relaxation Model, Quarterly of Applied Mathematics (2022)
  • [26] Huang J , Zhou Y , Yong W A , Data-driven discovery of multiscale chemical reactions governed by the law of mass action, Journal of Computational Physics, 448, 110743 (2022)
  • [27] W Zhao, WA Yong, Boundary conditions for kinetic theory‐based models II: A linearized moment system, Mathematical Methods in the Applied Sciences, 44(18), 14148-14172 (2021)
  • [28] Juntao Huang, Zhiting Ma, Yizhou Zhou, and Wen-An Yong, Learning thermodynamically stable and Galilean invariant partial differential equations for non-equilibrium flows, Journal of Non-Equilibrium Thermodynamics, 46(4), 355-370 (2021)
  • [29] Yong W A, Zhou Y, Recent advances on boundary conditions for equations in nonequilibrium thermodynamics, , 13(9), 1710 (2021)
  • [30] Y Zhou, WA Yong, Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type I, Journal of Differential Equations, 281, 289-332 (2021)
  • [31] Pierre Lallemand, Li-Shi Luo, Manfred Krafczyk, Wen-An Yong, The lattice Boltzmann method for nearly incompressible flows, Journal of Computational Physics, 431, 109713 (2021)
  • [32] Yizhou Zhou & Wen-An Yong, Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type I, J. Differ. Equations 281 (2021), 289–332.
  • [33] Wen-An Yong, Weifeng Zhao, Juntao Huang, Lattice Boltzmann method for stochastic convection-diffusion equations, SIAM/ASA Journal on Uncertainty Quantification, 9(2), 536-563 (2021)
  • [34] Weifeng Zhao, Wen-An Yong, Boundary conditions for kinetic theory based models II. a linearized moment system, Math. Meth. Appl. Sci., 44(18), 14148-14172 (2021)
  • [35] Wen-An Yong & Yizhou Zhou, Recent advances on boundary conditions for equations in nonequilibrium thermodynamics, Symmetry 13:9(2021), 1710. https://doi.org/10.3390/sym13091710
  • [36] WA Yong, Y Zhou, Recent Advances on Boundary Conditions for Equations in Nonequilibrium Thermodynamics. Symmetry 2021, 13, 1710, Mathematical Aspects in Non-equilibrium Thermodynamics, 69 (2021)
  • [37] W Zhao, WA Yong, Weighted L2-stability of a discrete kinetic approximation for the incompressible Navier–Stokes equations on bounded domains, Journal of Computational and Applied Mathematics, 376, 112820 (2020)
  • [38] J Huang, Z Ma, Y Zhou, WA Yong, Learning Interpretable and Thermodynamically Stable Partial Differential Equations., arXiv (2020)
  • [39] Wen-An Yong, Weifeng Zhao, Numerical analysis of the lattice Boltzmann method for the Boussinesq equations, Journal of Scientific Computing, 84, 1-21 (2020)
  • [40] Y Zhou, WA Yong, Construction of boundary conditions for hyperbolic relaxation approximations I: The linearized Suliciu model, Mathematical Models and Methods in Applied Sciences, 30(07), 1407-1439 (2020)
  • [41] Jiawei Liu, Wen-An Yong, Jianxin Liu, Zhenwei Guo, Stable finite-difference methods for elastic wave modeling with characteristic boundary conditions, Mathematics, 8(6), 1039 (2020)
  • [42] J Zhao, Z Zhang, WA Yong, Approximation of the multi-dimensional incompressible Navier-Stokes equations by discrete-velocity vector-BGK models, Journal of Mathematical Analysis and Applications, 486(2), 123901 (2020)
  • [43] W Zhao, WA Yong, Boundary Scheme for a Discrete Kinetic Approximation of the Navier–Stokes Equations, Journal of Scientific Computing, 82, 1-17 (2020)
  • [44] Qian Huang, Shuiqing Li, Wen-An Yong, Stability analysis of quadrature-based moment methods for kinetic equations, SIAM Journal on Applied Mathematics, 80(1), 206-231 (2020)
  • [45] Weifeng Zhao,Wen-An Yong, Boundary scheme for a discrete kinetic approximation of the Navier-Stokes equations, J. Sci. Comput., 82(3), UNSP 71. (2020)
  • [46] Jin Zhao, Zhimin Zhang, Wen-An Yong, Approximation of the multi-dimensional incompressible Navier-Stokes equations by discretevelocity vector-BGK models, J. Math. Anal. Appl., 486(2), 123901 (2020)
  • [47] Yizhou Zhou & Wen-An Yong, Construction of boundary conditions for hyperbolic relaxation approximations. I: the linearized Suliciu model, Math. Models and Methods Appl. Sci. 30:7 (2020), 1407–1439.
  • [48] Weifeng Zhao, Wen-An Yong, Weighted L2-stability of a discrete kinetic approximation for the incompressible Navier-Stokes equations on bounded domains, J. Comput. Appl. Math., 376, 112820 (2020)
  • [49] Jin Zhao, Zhimin Zhang, Wen-An Yong, Vector-type boundary schemes for the lattice Boltzmann method based on vector-BGK models, SIAM Journal on Scientific Computing, 42(5), B1250-B1270 (2020)
  • [50] Weifeng Zhao, Wen-An Yong, Relaxation-rate formula for the entropic lattice Boltzmann model, Chinese Physics B, 28(11), 114701 (2019)
  • [51] Wen-An Yong, Boundary stabilization of hyperbolic balance laws with characteristic boundaries, Automatica, 101, 252-257 (2019)
  • [52] Weifeng Zhao, Juntao Huang, Wen-An Yong, Boundary conditions for kinetic theory based models I: Lattice Boltzmann models, Multiscale Modeling & Simulation, 17(2), 854-872 (2019)
  • [53] Zaibao Yang, Wen-An Yong, Yi Zhu, Generalized hydrodynamics and the classical hydrodynamic limit, arXiv preprint arXiv:1809.01611 (2018)
  • [54] W Zhao, L Wang, WA Yong, On a two-relaxation-time D2Q9 lattice Boltzmann model for the Navier–Stokes equations, Physica A: Statistical Mechanics and its Applications, 492, 1570-1580 (2018)
  • [55] Weifeng Zhao,Liang Wang,Wen-An Yong, On a tworelaxation-time D2Q9 lattice Boltzmann model for the Navier-Stokes equations, Physica A, 492, 1570–1580 (2018)
  • [56] Vincent Giovangigli, Wen-An Yong, Viscosity and Internal Energy Relaxation: Error Estimates, Nonlinear Analysis-Real World Applications, 43, 213–244 (2018)
  • [57] Vincent Giovangigli, Zaibao Yang, Wen-An Yong, Relaxation limit and initial-layers for a class of hyperbolic-parabolic systems, SIAM Journal on Mathematical Analysis, 50(4), 4655-4697 (2018)
  • [58] Z YANG, WA Yong, Y Zhu, A Generalized hydrodynamics and its classical hydrodynamic limit, arXiv preprint arXiv:1809.01611 (2018)
  • [59] W Zhao, WA Yong, A family of single-node second-order boundary schemes for the lattice Boltzmann method, arXiv preprint arXiv:1712.08288 (2017)
  • [60] Vincent Giovangigli, Wen-An Yong, Asymptotic stability and relaxation for fast chemistry fluids, Nonlinear Analysis, 159, 208-263 (2017)
  • [61] Weifeng Zhao, Wen-An Yong, Maxwell iteration for the lattice Boltzmann method with diffusive scaling, Physical Review E, 95(3), 033311 (2017)
  • [62] W Zhao, WA Yong, LS Luo, Stability analysis of a class of globally hyperbolic moment system, Communications in Mathematical Sciences, 15(3), 609-633 (2017)
  • [63] Weifeng Zhao, Wen-An Yong, Single-node second-order boundary schemes for the lattice Boltzmann method, Journal of Computational Physics, 329, 1-15 (2017)
  • [64] Weifeng Zhao,Wen-An Yong,Li-Shi Luo, Stability analysis of a class of globally hyperbolic moment systems, Commun. Math. Sci., 15(3), 609–633 (2017)
  • [65] Xiaokai Huo, Wen-An Yong, Global existence for viscoelastic fluids with infinite Weissenberg number, Communications in Mathematical Sciences, 15(4), 1129-1140 (2017)
  • [66] L. Hong, J. Chen, W.-A. Yong, Novel dissipative properties of the master equation, Journal of Mathematical Physics, 57(10) (2016)
  • [67] V Giovangigli, WA Yong, Erratum:``Volume viscosity and internal energy relaxation: Symmetrization and Chapman-Enskog expansion'', Kinetic and Related Models, 9(4), 813-813 (2016)
  • [68] Wen-An Yong, Xiaokai Huo, Structural stability of a 1D compressible viscoelastic fluid model, Journal of Differential Equations, 261(2), 1264-1284 (2016)
  • [69] Michael Herty, Wen-An Yong, Feedback boundary control of linear hyperbolic systems with relaxation, Automatica, 69, 12-17 (2016)
  • [70] JW Liu, WA Yong, Stability Analysis of the Biot/squirt and Double-porosity Models for Wave Propagation in Saturated Porous Media, EAGE Conference and Exhibition(1), 1-5 (2016)
  • [71] Zexi Hu , Juntao Huang , Wen-An Yong, Lattice Boltzmann method for convection-diffusion equations with general interfacial conditions, Physical Review E, 93(4), 043320 (2016)
  • [72] J Huang, Z Hu, WA Yong, Second-order curved boundary treatments of the lattice Boltzmann method for convection–diffusion equations, Journal of Computational Physics, 310, 26-44 (2016)
  • [73] Wen-An Yong, Weifeng Zhao, Li-Shi Luo, Theory of the lattice Boltzmann method: Derivation of macroscopic equations via the Maxwell iteration, Physical Review E, 93(3), 033310 (2016)
  • [74] Yeping Li, Wen-An Yong, Zero Mach number limit of the compressible Navier-Stokes-Korteweg equations, Commun. Math. Sci., 14(1), 233–247 (2016)
  • [75] Jiawei Liu, Wen-An Yong, Stability analysis of the Biot/squirt models for wave propagation in saturated porous media, Geophysical Journal International, 204(1), 535-543 (2016)
  • [76] Juntao Huang,Wen-An Yong,Liu Hong, Generalization of the Kullback-Leibler divergence in the Tsallis statistics, J. Math. Anal. Appl., 436(2016), 501–512 (2016)
  • [77] Juntao Huang, Zexi Hu, Wen-An Yong, Second-order curved boundary treatments of the lattice Boltzmann method for convectiondiffusion equations, J. Comput. Phys., 310(2), 26–44 (2016)
  • [78] Liu Hong, Chen Jia, Yi Zhu, Wen-An Yong, Novel dissipation properties of the master equation, J. Math. Phys., 57, 103303 (2016)
  • [79] Y Li, WA Yong, Zero Mach number limit of the compressible Navier–Stokes–Korteweg equations, Communications in Mathematical Sciences, 14(1), 233-247 (2016)
  • [80] Yajing Huang, Liu Hong, Wen-An Yong, Partial equilibrium approximations in apoptosis. II. The death-inducing signaling complex subsystem, Mathematical biosciences, 270, 126-134 (2015)
  • [81] Liu Hong, Zaibao Yang, Yi Zhu, Wen-An Yong, A novel construction of thermodynamically compatible models and its correspondence with Boltzmann-equation-based moment-closure hierarchies, Journal of Non-Equilibrium Thermodynamics, 40(4), 247-256 (2015)
  • [82] WA Yong, CFL condition, Boltzmann's H‐theorem, Onsager reciprocal relations and beyond, Mathematical Methods in the Applied Sciences, 38(18), 4479-4486 (2015)
  • [83] Yeping Li, Wen-An Yong, The zero Mach number limit of the three-dimensional compressible viscous magnetohydrodynamic equations, Chinese Annals of Mathematics, Series B, 36(6), 1043-1054 (2015)
  • [84] J Huang, WA Yong, Boundary conditions of the lattice Boltzmann method for convection–diffusion equations, Journal of Computational Physics, 300, 70-91 (2015)
  • [85] Liu Hong, Ya-Jing Huang, Wen-An Yong, A kinetic model for cell damage caused by oligomer formation, Biophysical journal, 109(7), 1338-1346 (2015)
  • [86] Juntao Huang, Hao Wu, Wen-An Yong, On initial conditions for the lattice Boltzmann method, Communications in Computational Physics, 18(2), 450-468 (2015)
  • [87] Y Zhu, L Hong, Z Yang, WA Yong, Conservation-dissipation formalism of irreversible thermodynamics, Journal of Non-Equilibrium Thermodynamics, 40(2), 67-74 (2015)
  • [88] YP Li, WA Yong, Quasi-neutral limit in a 3D compressible Navier–Stokes–Poisson–Korteweg model, IMA Journal of Applied Mathematics, 80(3), 712-727 (2015)
  • [89] Z Yang, WA Yong, Validity of the Chapman–Enskog expansion for a class of hyperbolic relaxation systems, Journal of Differential Equations, 258(8), 2745-2766 (2015)
  • [90] Zaibao Yang, Wen-An Yong, Yi Zhu, A rigorous derivation of multicomponent diffusion laws, arXiv preprint arXiv:1502.03516 (2015)
  • [91] Vincent Giovangigli, Wen-An Yong, Viscosity and Internal Energy Relaxation: Symmetrization and Chapman-Enskog Expansion, Kinetic and Related Models, 8(1), 79–116 (2015)
  • [92] Zaibao Yang,Wen-An Yong, Validity of the Chapman-Enskog expansion for a class of hyperbolic relaxation systems, J. Differ. Equations, 258(8), 2745–2766 (2015)
  • [93] Yi Zhu, Liu Hong, Zaibao Yang, Wen-An Yong, Conservationdissipation formalism of irreversible thermodynamics, J. Non-Equilib. Thermodyn., 40(2), 67–74 (2015)
  • [94] Yeping Li, Wen-An Yong, Quasi-neutral limit in a 3D compressible Navier-Stokes-Poisson-Korteweg model, IMA J. Appl. Math., 80(3), 712–727 (2015)
  • [95] Juntao Huang, Wen-An Yong, Boundary conditions of the lattice Boltzmann method for convection-diffusion equations, J. Comput. Phys., 300(1), 70–91 (2015)
  • [96] Liu Hong & Zaibao Yang & Yi Zhu & Wen-An Yong, A novel construction of thermodynamically compatible models and its correspondence with Boltzmann-equation-based moment-closure hierarchies, J. Non-Equilib. Thermodyn. 40:4 (2015), 247–256.
  • [97] Wen-An Yong, CFL condition, Boltzmann’s H-theorem, Onsager reciprocal relations and beyond, Math. Meth. Appl. Sci. 38:18 (2015), 4479–4486.
  • [98] L Hong, Z Yang, Y Zhu, WA Yong, Boltzmann-Equation Based Derivation of Balance Laws in Irreversible Thermodynamics, arXiv preprint arXiv:1411.7102 (2014)
  • [99] V Giovangigli, WA Yong, Volume viscosity and internal energy relaxation: Error estimates, (2014)
  • [100] Juntao Huang, Li Zhang, Wen-An Yong, Moran Wang, On complex boundary conditions of the lattice Boltzmann method for diffusion equations, Appl. Math. Mech., 35(3), 305–312 (2014)
  • [101] Zaibao Yang, Wen-An Yong, Asymptotic analysis of the lattice Boltzmann method for generalized Newtonian fluid flows, Multiscale Modeling & Simulation, 12(3), 1028-1045 (2014)
  • [102] Ya-Jing Huang, Wen-An Yong, Partial equilibrium approximations in apoptosis. I. The intracellular-signaling subsystem, Mathematical Biosciences, 246(1), 27-37 (2013)
  • [103] L Hong, WA Yong, Simple moment-closure model for the self-assembly of breakable amyloid filaments, Biophysical journal, 104(3), 533-540 (2013)
  • [104] Liu Hong, Wen-An Yong, Simple moment-closure model for the self-assembling of breakable amyloid filaments, Biophys. J., 104(2013), 533–540 (2013)
  • [105] Wen-An Yong, Conservation-dissipation structure of chemical reaction systems, Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 86(6), 067101 (2012)
  • [106] Wen-An Yong, Li-Shi Luo, Accuracy of the viscous stress in the lattice Boltzmann equation with simple boundary conditions, Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 86(6), 065701 (2012)
  • [107] YJ Huang, WA Yong, Partial equilibrium approximations in Apoptosis, arXiv preprint arXiv:1209.6417 (2012)
  • [108] YJ Huang, WA Yong, A stable simplification of a fas-signaling pathway model for apoptosis, IEEE 6th International Conference on Systems Biology (ISB), 125-134 (2012)
  • [109] H Yan, WA Yong, Stability of steady solutions to reaction-hyperbolic systems for axonal transport, Journal of Hyperbolic Differential Equations, 9(02), 325-337 (2012)
  • [110] Ya-Jing Huang, Wen-An Yong, A stable simplification of a Fassignaling pathway model for apoptosis, 2012 IEEE 6th International Conference on Systems Biology (ISB)(125–134) (2012)
  • [111] Hao Yan, Wen-An Yong, Stability of steady solutions to reactionhyperbolic systems for axonal transport, J. Hyper. Partial Differ. Eqns., 9(2), 325–337 (2012)
  • [112] H Yan, WA Yong, WEAK ENTROPY SOLUTIONS OF NONLINEAR REACTION–HYPERBOLIC SYSTEMS for AXONAL TRANSPORT, Mathematical Models and Methods in Applied Sciences, 21(10), 2135-2154 (2011)
  • [113] Jiang Xu,Wen-An Yong, A note on incompressible limit for compressible Euler equations, Mathematical Methods in the Applied Sciences, 34(7), 831-838 (2011)
  • [114] Jiang Xu, Wen-An Yong, Zero-electron-mass limit of hydrodynamic models for plasmas, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 141(2), 431-447 (2011)
  • [115] Hao Yan, Wen-An Yong, Weak entropy solutions of nonlinear reaction-hyperbolic systems for axonal transport, M3AS (Math. Models and Methods Appl. Sci.), 21(10), 2135–2154 (2011)
  • [116] Jiang Xu, Wen-An Yong, et al, On the Relaxation-time Limits in the Bipolar Hydrodynamic Models for Semiconductors, Some Problems on Nonlinear Hyperbolic Equations and Applications (2010)
  • [117] J Xu, WA Yong, On the relaxation-time limits in bipolar hydrodynamic models for semiconductors, Some Problems On Nonlinear Hyperbolic Equations And Applications, 258-279 (2010)
  • [118] Jiang Xu, Wen-An Yong, Zero-relaxation limit of non-isentropic hydrodynamic models for semiconductors, Discrete and Continuous Dynamical Systems-Series A (DCDS-A), 25(4), 1319 (2009)
  • [119] Jiang Xu, Wen-An Yong, Relaxation-time limits of non-isentropic hydrodynamic models for semiconductors, Journal of Differential Equations, 247(6), 1777-1795 (2009)
  • [120] Wen-An Yong, An Onsager-like relation for the lattice Boltzmann method, Computers & Mathematics with Applications, 58(5), 862-866 (2009)
  • [121] Shuichi Kawashima, Wen-An Yong, Decay estimates for hyperbolic balance laws, Zeitschrift für Analysis und ihre Anwendungen, 28(1), 1-33 (2009)
  • [122] Michael Junk, Wen-An Yong, Weighted L2-stability of the lattice Boltzmann method, SIAM J. Numer. Anal., 47(3), 1651–1665 (2009)
  • [123] M Junk, WA Yong, Weighted$\mathbb{L}^2$-Stability of the Lattice Boltzmann Method, SIAM Journal on Numerical Analysis, 47(3), 1651-1665 (2009)
  • [124] C Rohde, WA Yong, Dissipative entropy and global smooth solutions in radiation hydrodynamics and magnetohydrodynamics, Mathematical Models and Methods in Applied Sciences, 18(12), 2151-2174 (2008)
  • [125] Wen-An Yong, An interesting class of partial differential equations, Journal of mathematical physics, 49(3) (2008)
  • [126] A. Dressel, Wen-An Yong, et al, Traveling-Wave Solutions for Hyperbolic Systems of Balance Laws, , 485-492 (2008)
  • [127] C. Rohde, N. Tiemann, Wen-An Yong, et al, Weak and Classical Solutions for a Model Problem in Radiation Hydrodynamics, , 2008, 891-899 (2008)
  • [128] Christian Rohde, Wen-An Yong, Dissipative entropy and global smooth solutions for radiation hydrodynamics and magnetohydrodynamics, M3AS (Mathematical Models and Methods in Applied Sciences, 18(12), 2151–2174 (2008)
  • [129] W YONG, An Interesting Class of Hyperbolic Balance Laws, arXiv preprint arXiv:0707.3708 (2007)
  • [130] Christian Rohde, Wen-An Yong, The nonrelativistic limit in radiation hydrodynamics: I. Weak entropy solutions for a model problem, Journal of Differential Equations, 234(1), 91-109 (2007)
  • [131] WA Yong, SMOOTH SHOCK PROFILES FOR HYPERBOLIC SYSTEMS OF BALANCE LAWS (Mathematical Analysis in Fluid and Gas Dynamics), 数理解析研究所講究録, 1536, 140-150 (2007)
  • [132] YJ Peng, YG Wang, WA Yong, Quasi-neutral limit of the non-isentropic Euler–Poisson system, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 136(5), 1013-1026 (2006)
  • [133] A Dressel, WA Yong, Existence of traveling-wave solutions for hyperbolic systems of balance laws, Archive for rational mechanics and analysis, 182, 49-75 (2006)
  • [134] M. K. Banda, W.-A. Yong, A. Klar, A stability notion for lattice Boltzmann equations, SIAM Journal on Scientific Computing, 27(6), 2098-2111 (2006)
  • [135] Yue-Jun Peng,Ya-Guang Wang,Wen-An Yong, Quasineutral limit of the nonisentropic Euler-Poisson system, Proc. R. Soc. Edinb. A, 136A(5), 1013–1026 (2006)
  • [136] Alexander Dressel, Wen-An Yong, Existence of traveling wave solutions for hyperbolic systems of balance laws, Arch. Rational Mech. Anal., 182(2), 49–75 (2006)
  • [137] Wen-An Yong, Willi Jager, On hyperbolic relaxation problems, , 495-520 (2005)
  • [138] Wen-An Yong, Li-Shi Luo, Nonexistence ofTheorem for Some Lattice Boltzmann Models, Journal of statistical physics, 121, 91-103 (2005)
  • [139] Y Brenier, WA Yong, Derivation of particle, string, and membrane motions from the Born–Infeld electromagnetism, Journal of mathematical physics, 46(6) (2005)
  • [140] Wen-An Yong, A note on the zero Mach number limit of compressible Euler equations, Proc. Amer. Math. Soc. 133 (2005), 3079–3085.
  • [141] Yann Brenier, Wen-An Yong, Derivation of particle, string, and membrane motions from the Born-Infeld electromagnetism, J. Math. Phys., 46(062305) (2005)
  • [142] WA Yong, A note on the zero Mach number limit of compressible Euler equations, Proceedings of the American Mathematical Society, 133(10), 3079-3085 (2005)
  • [143] A Dressel, Existence of smooth shock profiles for hyperbolic systems with relaxation, (2005)
  • [144] Shuichi Kawashima, Wen-An Yong, Dissipative structure and entropy for hyperbolic systems of balance laws, Archive for rational mechanics and analysis, 174(3), 345-364 (2004)
  • [145] Wen-An Yong, Diffusive relaxation limit of multidimensional isentropic hydrodynamical models for semiconductors, SIAM Journal on Applied Mathematics, 64(5), 1737-1748 (2004)
  • [146] WA Yong, Entropy and Global Solutions for Hyperbolic Systems of Balance Laws, Verlag nicht ermittelbar (2004)
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  • [184] J Huang, Y Cheng, AJ Christlieb, LF Roberts, WA Yong, Enforcing hyperbolicity in gradient-based machine learning moment closures for the radiative transfer equation, 2022 Virtual Joint Mathematics Meetings (JMM 2022)
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  • [188] J Liu, WA Yong, Stability analysis of the Biot-Rayleigh and double-porosity theories for wave propagation in saturated media,
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  • [191] Wen-An Yong, Entropy and global existence for hyperbolic balance laws, Archive for Rational Mechanics and Analysis, 172, 247-266 (2004)
  • [192] Wen-An Yong, Newtonian limit of Maxwell fluid flows, Archive for Rational Mechanics and Analysis, 214, 913-922 (2014)
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Update Time: 2025-08-14 17:00:06