Models of thermodiffusion in 1D

被引：4

作者：

Liu, Yan ^{[1
]}

Reissig, Michael ^{[2
]}

机构：

[1] Guangdong Univ Finance, Dept Appl Math, Guangzhou 510521, Guangdong, Peoples R China

[2] Tech Univ Bergakad Freiberg, Fac Math & Comp Sci, D-09596 Freiberg, Germany

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2014年 / 37卷 / 06期

基金：

中国国家自然科学基金;

关键词：

diffusion phenomenon; propagation of singularities; thermodiffusion in 1D; Lp - Lq decay estimates; hyperbolic-parabolic coupled system; WKB analysis; ANISOTROPIC THERMO-ELASTICITY; LINEAR THERMOELASTIC SYSTEMS; DYNAMICAL PROBLEM; PART I; EXISTENCE; 2D;

D O I：

10.1002/mma.2839

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of the paper is to study the Cauchy problem for 1D models of thermodiffusion. We explain qualitative properties of solutions. In particular, we show which part of the model has a dominant influence on well-posedness, propagation of singularities, L-p - L-q decay estimates on the conjugate line, and on the diffusion phenomenon. Copyright (c) 2013 John Wiley & Sons, Ltd.

引用

页码：817 / 837

页数：21

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