ONE-DIMENSIONAL DAMPED WAVE EQUATION WITH LARGE INITIAL PERTURBATION-Reference-Cited by-同舟云学术

ONE-DIMENSIONAL DAMPED WAVE EQUATION WITH LARGE INITIAL PERTURBATION

Published:2013-06-18 Issue:04 Volume:11 Page:1350013
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

FAN LILI¹,LIU HONGXIA²,ZHAO HUIJIANG³

Affiliation:

1. Department of Mathematics and Physics, Wuhan Polytechnic University, Wuhan 430023, P. R. China

2. Department of Mathematics, Jinan University, Guangzhou 510632, P. R. China

3. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China

Abstract

This paper is concerned with the global stability of boundary layer solutions, together with the corresponding convergence rates, to the initial-boundary value problem for one-dimensional damped wave equation with a nonlinear convection term in the half space R+.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530513500139

Reference21 articles.

1. Decay estimates of planar stationary waves for damed wave equations with nonlinear convection in multi-dimensional half space

2. Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier–Stokes equations under large perturbation

3. Stability of Planar Stationary Solutions to the Compressible Navier-Stokes Equation on the Half Space

4. Hardy type inequality and application to the stability of degenerate stationary waves

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