research-article

Weak Shocks for a One-Dimensional BGK Kinetic Model for Conservation Laws

Authors:

C. M. Cuesta,

C. SchmeiserAuthors Info & Claims

SIAM Journal on Mathematical Analysis, Volume 38, Issue 2

Pages 637 - 656

https://doi.org/10.1137/050638059

Published: 01 January 2006 Publication History

Abstract

For one-dimensional kinetic BGK models, regarded as relaxation models for scalar conservation laws with genuinely nonlinear fluxes, existence of small amplitude traveling waves is proven. Dynamic stability of these kinetic shock profiles is shown by extending a classical energy method for viscous regularizations of conservation laws.

References

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C. M. Cuesta and C. Schmeiser, Kinetic profiles for shock waves of scalar conservation laws, Transport Theory Statist. Phys., to appear.

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Index Terms

Weak Shocks for a One-Dimensional BGK Kinetic Model for Conservation Laws
1. Applied computing
  1. Physical sciences and engineering
    1. Physics
2. Mathematics of computing
  1. Mathematical analysis
    1. Differential equations
      1. Ordinary differential equations
      2. Partial differential equations
    2. Numerical analysis

Index terms have been assigned to the content through auto-classification.

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cover image SIAM Journal on Mathematical Analysis

SIAM Journal on Mathematical Analysis Volume 38, Issue 2

2006

310 pages

ISSN:0036-1410

DOI:10.1137/sjmaah.2006.38.issue-2

Issue’s Table of Contents

Publisher

Society for Industrial and Applied Mathematics

United States

Publication History

Published: 01 January 2006

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Abstract

References

Index Terms

Recommendations

Global Subsonic Jet with Strong Transonic Shock over a Convex Cornered Wedge for the Two-Dimensional Steady Full Euler Equations

An exactly conservative particle method for one dimensional scalar conservation laws

Lagrangian Flux Calculation Through a Fixed Planar Curve for Scalar Conservation Laws

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