ASYMPTOTIC DECAY TOWARD THE PLANAR RAREFACTION WAVES FOR A MODEL SYSTEM OF THE RADIATING GAS IN TWO DIMENSIONS-Reference-Cited by-同舟云学术

ASYMPTOTIC DECAY TOWARD THE PLANAR RAREFACTION WAVES FOR A MODEL SYSTEM OF THE RADIATING GAS IN TWO DIMENSIONS

Published:2008-04 Issue:04 Volume:18 Page:511-541
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

GAO WENLIANG¹,ZHU CHANGJIANG¹

Affiliation:

1. Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, P. R. China

Abstract

In this paper, we consider the asymptotic decay rate towards the planar rarefaction waves to the Cauchy problem for a hyperbolic–elliptic coupled system called as a model system of the radiating gas in two dimensions. The analysis based on the standard L2-energy method, L1-estimate and the monotonicity of profile obtained by the maximum principle.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202508002760

Reference27 articles.

1. NON-LINEAR EFFECTS ON THE PROPAGATION OF SOUND WAVES IN A RADIATING GAS

2. Rarefactions and large time behavior for parabolic equations and monotone schemes

3. A note on the stability of the rarefaction wave of the Burgers equation

4. NONLINEAR STABILITY OF RAREFACTION WAVES FOR A RATE-TYPE VISCOELASTIC SYSTEM

5. On space-time decay properties of solutions to hyperbolic-elliptic coupled systems

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