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

被引：12
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.
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页数：39
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