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Convergence to nonlinear diffusion waves for solutions of p-system with time-dependent damping

  • Published:2017-12 Issue:2 Volume:456 Page:849-871
  • ISSN:0022-247X
  • Container-title:Journal of Mathematical Analysis and Applications
  • language:en
  • Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Li Haitong,Li Jingyu,Mei Ming,Zhang Kaijun

Funder

Fonds de Recherche du Québec - Nature et Technologies

National Natural Science Foundation of China

Natural Sciences and Engineering Research Council of Canada

Fundamental Research Funds for the Central Universities

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference47 articles.

1. A system of hyperbolic conservation laws with frictional damping;Dafermos;Z. Angew. Math. Phys.,1995

2. Initial–boundary value problem for p-system with damping in half space;Deng;Nonlinear Anal.,2016

3. A class of similarity solutions of the nonlinear diffusion equation;van Duyn;Nonlinear Anal.,1977

4. Theory of damped wave models with integrable and decaying in time speed of propagation;Ebert;J. Hyperbolic Differ. Equ.,2016

5. Convergence rates to nonlinear diffusion waves for solutions to the system of compressible adiabatic flow through porous media;Geng;Comm. Partial Differential Equations,2010

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