BIMSA > 雍稳安
教授 雍稳安

单位: 清华大学, 北京雁栖湖应用数学研究院

团队: 计算数学

邮箱: yongwenan@bimsa.cn

研究方向: 应用偏微分方程的理论分析和数值方法

个人简介

雍稳安主要研究领域是偏微分方程、数值方法和非平衡态热力学。系统地建立了双曲偏微分方程松弛问题的数学理论（包括零松弛极限的存在稳定性，整体光滑解的存在性和长时间行为，Chapman-Enskog展开的有效性，边界条件的提法及其极限边界条件的导出，边界控制等），找到了这类问题的内在共性（Yong's stability condition）。创立了非平衡态热力学的守恒耗散理论（CDF），并成功地应用于生物、地学等领域，提出了已被实验验证的描述可压缩粘弹性流体流动的数学模型（Yong's model）。在计算流体力学方面，证明了工程上广泛使用的格子Boltzmann方法的稳定收敛性，并针对这种数值方法率先提出了单点边界格式（ZY method）, 已被广泛使用。主要结果发表在Arch. Rational Mech. Anal., Automatica, J. Comput. Phys., Philos. Trans. Royal Soc. A, Siam 系列等相关领域的知名国际刊物上，有些结果已被若干权威专著和教材所采纳。

研究兴趣

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

教育经历

  • 1989 - 1992      海德堡大学      博士      Dr.rer.nat.
  • 1984 - 1987      中国科学院计算数学与科学工程计算研究所      硕士
  • 1980 - 1984      中山大学      学士
  • - 2005      海德堡大学      Habilitation

工作经历

  • 2021 -      北京雁栖湖应用数学研究院      Professor
  • 2005 -      清华大学      荣誉教授
  • 1998 - 2005      海德堡大学      Assistant Professor (C1)
  • 1993 - 1998      海德堡大学      副研究员
  • 1993 - 1993      苏黎世联邦理工学院      博士后
  • 1987 - 1989      北京应用物理与计算数学研究所      助理教授

荣誉与奖项

  • 2018      科学咨询委员会会员

出版物

  • [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)
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  • [192] Wen-An Yong, Newtonian limit of Maxwell fluid flows, Archive for Rational Mechanics and Analysis, 214, 913-922 (2014)
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更新时间: 2025-07-24 17:00:10