Global existence and asymptotic behaviour of solutions for the generalized Boussinesq equation

被引：24

作者：

Wang, Yu-Zhu ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 01期

关键词：

The generalized Boussinesq equation; Local solution; Global solution; Asymptotic behaviour of solution; BLOW-UP; SCATTERING;

D O I：

10.1016/j.na.2007.12.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence and the uniqueness of global solution for the Cauchy problem for the generalized Boussinesq equation. Under some assumptions, we also show that the LOO norm of small solution of the Cauchy problem for the generalized Boussinesq equation decays to zero as t tends to the infinity. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：465 / 482

页数：18

共 50 条

[41] Global solution for a generalized Boussinesq equation
Wang, Shubin
Xue, Hongxia
APPLIED MATHEMATICS AND COMPUTATION, 2008, 204 (01) : 130 - 136
[42] Exact solutions of a generalized Boussinesq equation
Bruzon, M. S.
THEORETICAL AND MATHEMATICAL PHYSICS, 2009, 160 (01) : 894 - 904
[43] Exact solutions of a generalized Boussinesq equation
M. S. Bruzón
Theoretical and Mathematical Physics, 2009, 160 : 894 - 904
[44] On Anaytical Solutions of the Generalized Boussinesq Equation
Kudryashov, Nikolay A.
Volkov, Alexander K.
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015), 2016, 1738
[45] ON INVARIANT SOLUTIONS OF THE GENERALIZED BOUSSINESQ EQUATION
BHUTANI, OP
MITAL, P
CHANDRASEKARAN, G
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1988, 26 (03) : 307 - 310
[46] Global existence and asymptotic behaviour of solution for a damped nonlinear hyperbolic equation
Pang, Tiantian
Shen, Jihong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 198
[47] Existence and asymptotic behaviour of solutions for a viscous p(x)-Laplacian equation
Gao, Wenjie
Guo, Bin
APPLICABLE ANALYSIS, 2012, 91 (05) : 879 - 894
[48] Global existence and blow-up for the generalized sixth-order Boussinesq equation
Esfahani, Amin
Farah, Luiz Gustavo
Wang, Hongwei
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (11) : 4325 - 4338
[49] Further Results on the Existence of Solutions for Generalized Fractional Basset-Boussinesq-Oseen Equation
Baghani, Hamid
Alzabut, Jehad
Nieto, Juan J.
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2020, 44 (05): : 1461 - 1467
[50] GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR GENERALIZED QUANTUM MHD EQUATION
Boling Guo
Binqiang Xie
Annals of Applied Mathematics, 2017, 33 (02) : 111 - 129

← 1 2 3 4 5 →