Some sharp results about the global existence and blowup of solutions to a class of coupled pseudo-parabolic equations

被引：11

作者：

Quang-Minh Tran ^{[1
,2
]}

Thi-Thi Vu ^{[1
,2
]}

机构：

[1] Univ Science, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam

[2] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 506卷 / 02期

关键词：

Coupled pseudo-parabolic systems; Global existence; Asymptotic behavior; Finite time blow-up; Lifespan; Blow-up rate; POTENTIAL WELLS; TIME; INSTABILITY; REGULARIZATION; POSEDNESS; MODEL;

D O I：

10.1016/j.jmaa.2021.125719

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate an initial boundary value problem to a class of system pseudo-parabolic equations with power type source terms in low dimensional. By introducing a family of potential wells we not only obtain the invariant sets and vacuum isolating of solutions but also give some threshold results of global existence, blow-up phenomenon of weak solutions for the subcritical, critical and supercritical initial energy cases respectively. Furthermore, we study the decay rates for the global solutions and lifespan, blow-up rates of the blow-up solutions on some special cases. (c) 2021 Elsevier Inc. All rights reserved.

引用

页数：39

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