Convergence Rates to Asymptotic Profile for Solutions of Quasilinear Hyperbolic Equations with Nonlinear Damping

作     者：Shi-feng GENG Zhen WANG 

作者机构：School of Mathematics and Computational ScienceXiangtan University Wuhan Institute of Physics and MathematicsThe Chinese Academy of Sciences 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2016年第32卷第1期

页      面：55-66页

核心收录：

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 080101[工学-一般力学与力学基础] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：National Natural Science Foundation of China(No.11301443,11171340) Specialized Research Fund for the Doctoral Program of Higher Education(No.20124301120002) Natural Science Foundation of Hunan Provincial(No.2015JJ3125) Scientific Research Fund of Hunan Provincial Education Department(No.13C935) 

主　　题：asymptotic behavior convergence rates quasilinear hyperbolic equation nonlinear damping 

摘      要：The quasilinear hyperbolic equation with nonlinear damping is considered in this paper,a new asymptotic profile for the solution to the equation is obtained by suitably choosing the initial data of the corresponding parabolic equation,the convergence rates of the new profile are better than that obtained by Nishihara（1997,*** Equations 137,384-395） and H.-***（2000,*** Equations 167,467-494）.