耗散Boussinesq方程弱解的爆破  

A Blowup Result for the Dissipative Boussinesq Equation

作　　者：苏晓 王书彬 宋瑞丽[3] SU Xiao;WANG Shubin;SONG Ruili(College of Science, Henan University of Technology, Zhengzhou 450001, China;School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China;College of Information & Business, Zhongyuan University of Technology, Zhengzhou 450007, China)

机构地区：[1]河南工业大学理学院,河南郑州450001 [2]郑州大学数学与统计学院,河南郑州450001 [3]中原工学院信息商务学院,河南郑州450007

出　　处：《应用数学》2019年第4期790-795,共6页Mathematica Applicata

基　　金：河南工业大学博士基金(2017BS029),河南工业大学“省属高校基本科研业务费专项资金”(2018QNJH19);国家自然科研基金(11801145,11171311)

摘　　要：本文主要研究一类耗散Boussinesq方程的初边值问题的弱解的有限时间爆破.我们主要研究了当初值落在位势井内时,弱解在有限时间爆破的充分必要条件,并给出爆破时间的下界估计.本文是对WANG和SU(2016)的文章的一个补充.This paper is devoted to the nite time blow up of the weak solutions of the initial- boundary value problem for the dissipative Boussinesq equations. W e provide the su cient and necessary conditions of nite time blow-up of weak solutions with the initial data from the potential well, and give the lower bounds of the lifepan time. This paper is a note of WANG and SU(2016).

关 键 词：耗散Boussinesq方程 初边值问题 爆破 

分 类 号：O175.29[理学—数学]