Global Existence and Temporal Decay Estimate to the Generalized BBM-Burgers Equation with Dissipative Term

作     者：XU Hongmei YANG Xiaoyan 无

作者机构：College of Science Hohai University 

出 版 物：《Wuhan University Journal of Natural Sciences》 (武汉大学学报（自然科学英文版）)

年 卷 期：2018年第23卷第6期

页      面：475-479页

核心收录：

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

基　　金：Supported by the National Natural Science Foundation of China(11571092) 

主　　题：generalized Benjamin-Bona-Mahony-Burgers equation global existence temporal decay 

摘      要：Through constructing a Cauchy sequence in a Banach space, we got the local existence of the solution to the generalized Benjamin-Bona-Mahony-Burgers equation with large initial data in one space dimension. Combined with the global bounded estimate of the solution, we extended the local one to a global solution. Using energy estimate, Fourier analysis and time-frequency decomposition etc, we got L_2 decay estimate of the solution. The decay rate is the same as that of the heat equation.