一类无粘性项BBM-Burgers方程解的整体存在性和衰减估计  

Global existence and decay estimate of the solution for a BBM-Burgers equation without viscosity

作　　者：徐红梅[1] 徐伟[1] 

机构地区：[1]河海大学理学院,南京211100

出　　处：《华东师范大学学报（自然科学版）》2016年第6期71-76,87,共7页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金(11571092)

摘　　要：本文通过构造柯西逼近序列证明了一类无粘BBM-Burgers方程解的局部存在性和衰减估计,应用常数变易公式结合基本解的衰减估计证明了小初值条件下解的整体存在性,并得到了衰减估计.By constructing a Cauchy approximating sequence, we prove the local existence and give the decay estimate of the solution for a BBM-Burgers equation without viscosity. Using the variation of constant formula and the decay estimate of the fundamental solution, we obtain the global existence and decay estimate of solution of the system with small initial data.

关 键 词：BBM-Burgers方程 柯西问题 解的整体存在性 衰减估计 

分 类 号：O175.28[理学—数学]