Stability of Traveling Waves in Quasi-Linear Hyperbolic Systems with Relaxation and Diffusion

SIAM Journal on Mathematical Analysis ◽

10.1137/070690638 ◽

2008 ◽

Vol 40 (3) ◽

pp. 1058-1075 ◽

Author(s):

Tong Li

Keyword(s):

Traveling Waves ◽

Hyperbolic Systems ◽

Hyperbolic Systems With Relaxation ◽

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Linear and nonlinear exponential stability of traveling waves for hyperbolic systems with relaxation

Communications in Mathematical Sciences ◽

10.4310/cms.2009.v7.n3.a3 ◽

2009 ◽

Vol 7 (3) ◽

pp. 571-593 ◽

Author(s):

Tong Li ◽

Yaping Wu

Keyword(s):

Exponential Stability ◽

Traveling Waves ◽

Hyperbolic Systems ◽

Linear And Nonlinear ◽

Hyperbolic Systems With Relaxation

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A class of initial value problems for 2×2 hyperbolic systems with relaxation

Journal of Differential Equations ◽

10.1016/j.jde.2011.05.018 ◽

2011 ◽

Vol 251 (4-5) ◽

pp. 1254-1275 ◽

Author(s):

Huihui Zeng

Keyword(s):

Initial Value Problems ◽

Hyperbolic Systems ◽

Initial Value ◽

Hyperbolic Systems With Relaxation

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SOME RESULTS ON HYPERBOLIC SYSTEMS WITH RELAXATION

Acta Mathematica Scientia ◽

10.1016/s0252-9602(06)60103-3 ◽

2006 ◽

Vol 26 (4) ◽

pp. 767-780 ◽

Author(s):

Jintang Wu ◽

Yongshu Zheng

Keyword(s):

Hyperbolic Systems ◽

Hyperbolic Systems With Relaxation

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Uniform Convergence for Approximate Traveling Waves in Linear Reaction–Diffusion–Hyperbolic Systems

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-007-0069-1 ◽

2007 ◽

Vol 186 (2) ◽

pp. 251-274 ◽

Author(s):

Avner Friedman ◽

Bei Hu

Keyword(s):

Uniform Convergence ◽

Traveling Waves ◽

Hyperbolic Systems ◽

Reaction Diffusion ◽

Linear Reaction

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Zero relaxation limit to rarefaction waves for general $2 \times 2$ hyperbolic systems with relaxation

Communications in Mathematical Sciences ◽

10.4310/cms.2016.v14.n2.a6 ◽

2016 ◽

Vol 14 (2) ◽

pp. 443-462 ◽

Author(s):

Baoying Yang ◽

Huihui Zeng

Keyword(s):

Hyperbolic Systems ◽

Rarefaction Waves ◽

Hyperbolic Systems With Relaxation

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Implicit–Explicit Runge–Kutta Schemes and Applications to Hyperbolic Systems with Relaxation

Journal of Scientific Computing ◽

10.1007/s10915-004-4636-4 ◽

2005 ◽

Vol 25 (1) ◽

pp. 129-155 ◽

Author(s):

Lorenzo Pareschi ◽

Giovanni Russo

Keyword(s):

Hyperbolic Systems ◽

Hyperbolic Systems With Relaxation ◽

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Extrapolation methods for hyperbolic systems with relaxation

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(95)00194-8 ◽

1996 ◽

Vol 66 (1-2) ◽

pp. 359-375 ◽

Author(s):

M.Morandi Cecchi ◽

M. Redivo-Zaglia ◽

G. Russo

Keyword(s):

Hyperbolic Systems ◽

Extrapolation Methods ◽

Hyperbolic Systems With Relaxation

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Hyperbolic Systems with Relaxation: Symmetrizers and Entropies

Hyperbolic Problems: Theory, Numerics, Applications ◽

10.1007/978-3-0348-8724-3_33 ◽

1999 ◽

pp. 823-832

Author(s):

H. Joachim Schroll ◽

Jens Lorenz

Keyword(s):

Hyperbolic Systems ◽

Hyperbolic Systems With Relaxation

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Hyperbolic Systems with Relaxation: Characterization of Stiff Well-Posedness and Asymptotic Expansions

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1999.6400 ◽

1999 ◽

Vol 235 (2) ◽

pp. 497-532 ◽

Author(s):

Jens Lorenz ◽

H.Joachim Schroll

Keyword(s):

Asymptotic Expansions ◽

Hyperbolic Systems ◽

Well Posedness ◽

Hyperbolic Systems With Relaxation

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Model Adaptation for Hyperbolic Systems with Relaxation

Finite Volumes for Complex Applications VI Problems & Perspectives - Springer Proceedings in Mathematics ◽

10.1007/978-3-642-20671-9_71 ◽

2011 ◽

pp. 673-681 ◽

Author(s):

Hélène Mathis ◽

Nicolas Seguin

Keyword(s):

Hyperbolic Systems ◽

Model Adaptation ◽

Hyperbolic Systems With Relaxation

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