ON THE DIFFUSION PHENOMENON OF QUASILINEAR HYPERBOLIC WAVES

作     者：YANG HAN ALBERT MILANI YANG HAN;ALBERT;MILANI

作者机构：Department of Applied MathematicsSouth West Jiaotong University610031 ChengduChina Department of MathematicsUniversity of Wisconsin—M ilwaukeeMilwaukeeWisconsin 53201USA 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊(B辑英文版))

年 卷 期：2000年第21卷第1期

页      面：63-70页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Asymptotic behavior of solutions Quasilinear hyperbolic and parabolic equations Diffusion phenomenon 

摘      要：The authors consider the asymptotic behavior of solutions of the quasilinear hyperbolic equation with linear damping u_(tt)+u_(t)-div(a(u)u)=0,and show that,at least when n≥3,they tend,as t-+∞,to those of the nonlinear parabolic equation v_t-div(a(v)v)=0,in the sense that the norm||u(.,t)-v(.,t)||_(L∞(R^n))of the difference u-v decays faster than that of either u or *** provides another example of the diffusion phenomenon of nonlinear hyperbolic waves,first observed by Hsiao,*** Liu Taiping(see[1,2]).