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  1. No Access

    Article

    Discrete-Velocity-Direction Models of BGK-Type with Minimum Entropy: II—Weighted Models

    In this series of works, we develop a discrete-velocity-direction model (DVDM) with collisions of BGK-type for simulating gas flows, where the molecular motion is confined to some prescribed directions but the...

    Yihong Chen, Qian Huang, Wen-An Yong in Journal of Scientific Computing (2024)

  2. No Access

    Article

    Discrete-Velocity-Direction Models of BGK-type with Minimum Entropy: I. Basic Idea

    In this series of works, we develop a discrete-velocity-direction model (DVDM) with collisions of BGK-type for simulating rarefied flows. Unlike the conventional kinetic models (both BGK and discrete-velocity ...

    Qian Huang, Yihong Chen, Wen-An Yong in Journal of Scientific Computing (2023)

  3. No Access

    Article

    Numerical Analysis of the Lattice Boltzmann Method for the Boussinesq Equations

    This paper is concerned with the lattice Boltzmann method (LBM) with BGK collision models for the two-dimensional Bousinessq equations on periodic domains. We show the numerical stability of the LBM linearized...

    Wen-An Yong, Weifeng Zhao in Journal of Scientific Computing (2020)

  4. No Access

    Article

    Boundary Scheme for a Discrete Kinetic Approximation of the Navier–Stokes Equations

    This paper is concerned with boundary treatments of a discrete kinetic approximation proposed in Guo et al. (J Sci Comput 16(4):569–585, 2001) for the Navier–Stokes equations. For this approximation we find th...

    Weifeng Zhao, Wen-An Yong in Journal of Scientific Computing (2020)

  5. No Access

    Article

    The zero Mach number limit of the three-dimensional compressible viscous magnetohydrodynamic equations

    This paper is concerned with the zeroMach number limit of the three-dimensional compressible viscous magnetohydrodynamic equations. More precisely, based on the local existence of the three-dimensional compres...

    Ye** Li, Wen’an Yong in Chinese Annals of Mathematics, Series B (2015)

  6. No Access

    Article

    Newtonian Limit of Maxwell Fluid Flows

    In this paper, we revise Maxwell’s constitutive relation and formulate a system of first-order partial differential equations with two parameters for compressible viscoelastic fluid flows. The system is shown ...

    Wen-An Yong in Archive for Rational Mechanics and Analysis (2014)

  7. No Access

    Article

    Existence of Traveling-Wave Solutions for Hyperbolic Systems of Balance Laws

    This paper is concerned with traveling-wave solutions for hyperbolic systems of balance laws satisfying a stability condition and a Kawashima-like condition. We are interested in the case where the traveling-w...

    Alexander Dressel, Wen-An Yong in Archive for Rational Mechanics and Analysis (2006)

  8. No Access

    Article

    Nonexistence of H Theorem for Some Lattice Boltzmann Models

    In this paper, we provide a set of sufficient conditions under which a lattice Boltzmann model does not admit an H theorem. By verifying the conditions, we prove that a number of existing lattice Boltzmann models...

    Wen-an Yong, Li-Shi Luo in Journal of Statistical Physics (2005)

  9. No Access

    Chapter

    On Hyperbolic Relaxation Problems

    This report summarizes our works on hyperbolic systems of first-order partial differential equations with source terms. We discuss the introduction of our structural stability and entropy dissipation condition...

    Wen-An Yong, Willi Jäger in Analysis and Numerics for Conservation Laws (2005)

  10. No Access

    Article

    Entropy and Global Existence for Hyperbolic Balance Laws

    This paper presents a general result on the existence of global smooth solutions to hyperbolic systems of balance laws in several space variables. We propose an entropy dissipation condition and prove the exis...

    Wen-An Yong in Archive for Rational Mechanics and Analysis (2004)

  11. No Access

    Article

    A numerical approach to degenerate parabolic equations

    In this work we propose a numerical approach to solve some kind of degenerate parabolic equations. The underlying idea is based on the maximum principle. More precisely, we locally perturb the (initial and bo...

    Iuliu Sorin Pop, Wen-An Yong in Numerische Mathematik (2002)

  12. No Access

    Book

    Advances in the Theory of Shock Waves

    Heinrich Freistühler… in Progress in Nonlinear Differential Equations and Their Applications (2001)

  13. No Access

    Chapter and Conference Paper

    Remarks on Hyperbolic Relaxation Systems

    This talk is concerned with basic structural properties on hyperbolic relaxation systems. One of the main conclusions is that non-(strongly) hyperbolic conservation laws do not admit linearly stable (in the se...

    Wen-An Yong in Hyperbolic Problems: Theory, Numerics, Applications (2001)

  14. No Access

    Chapter

    Basic Aspects of Hyperbolic Relaxation Systems

    This article presents a systematic consideration of hyperbolic systems of first-order partial differential equations with source terms divided by a small parameter e. Starting with von Neumann’s stability analysi...

    Wen-An Yong in Advances in the Theory of Shock Waves (2001)

  15. No Access

    Chapter

    Singular Perturbations of First-Order Hyperbolic Systems

    This work develops the singular perturbation theory for initial-value problems of nonlinear first-order hyperbolic systems in several space variables. The results can be applied to many physical problems in th...

    Wen-An Yong in Nonlinear Hyperbolic Problems: Theoretical… (1993)

  16. No Access

    Chapter and Conference Paper

    On stability and convergence of difference schemes for quasilinear hyperbolic initial-boundary-value problems

    In the seventies[2,3] we obtained some results on stability of difference schemes for initial-boundary-value problems of linear diagonalized hyperbolic systems in two independent variables. Later[4] these results...

    You-lan Zhu, Wen-an Yong in Numerical Methods for Partial Differential Equations (1987)