Global well-posedness of damped multidimensional generalized Boussinesq equations

We study the Cauchy problem for a sixth-order Boussinesq equations with the generalized source term and damping term. By using Galerkin approximations and potential well methods, we prove the existence of a global weak solution. Furthermore, we study the conditions for the damped coefficient to...

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Main Authors:	Yi Niu, Xiuyan Peng, Mingyou Zhang
Format:	Article
Language:	English
Published:	Texas State University 2015-04-01
Series:	Electronic Journal of Differential Equations
Subjects:	Cauchy problem global solution finite time blow up damping term
Online Access:	http://ejde.math.txstate.edu/Volumes/2015/117/abstr.html

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spelling	doaj-7d8938ba5db44e499adfba156d2826122020-11-25T01:40:45ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-04-012015117,115Global well-posedness of damped multidimensional generalized Boussinesq equationsYi Niu0Xiuyan Peng1Mingyou Zhang2 Harbin Engineering Univ., China Harbin Engineering Univ., China Harbin Engineering Univ., China We study the Cauchy problem for a sixth-order Boussinesq equations with the generalized source term and damping term. By using Galerkin approximations and potential well methods, we prove the existence of a global weak solution. Furthermore, we study the conditions for the damped coefficient to obtain the finite time blow up of the solution.http://ejde.math.txstate.edu/Volumes/2015/117/abstr.htmlCauchy problemglobal solutionfinite time blow updamping term
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yi Niu Xiuyan Peng Mingyou Zhang
spellingShingle	Yi Niu Xiuyan Peng Mingyou Zhang Global well-posedness of damped multidimensional generalized Boussinesq equations Electronic Journal of Differential Equations Cauchy problem global solution finite time blow up damping term
author_facet	Yi Niu Xiuyan Peng Mingyou Zhang
author_sort	Yi Niu
title	Global well-posedness of damped multidimensional generalized Boussinesq equations
title_short	Global well-posedness of damped multidimensional generalized Boussinesq equations
title_full	Global well-posedness of damped multidimensional generalized Boussinesq equations
title_fullStr	Global well-posedness of damped multidimensional generalized Boussinesq equations
title_full_unstemmed	Global well-posedness of damped multidimensional generalized Boussinesq equations
title_sort	global well-posedness of damped multidimensional generalized boussinesq equations
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2015-04-01
description	We study the Cauchy problem for a sixth-order Boussinesq equations with the generalized source term and damping term. By using Galerkin approximations and potential well methods, we prove the existence of a global weak solution. Furthermore, we study the conditions for the damped coefficient to obtain the finite time blow up of the solution.
topic	Cauchy problem global solution finite time blow up damping term
url	http://ejde.math.txstate.edu/Volumes/2015/117/abstr.html
work_keys_str_mv	AT yiniu globalwellposednessofdampedmultidimensionalgeneralizedboussinesqequations AT xiuyanpeng globalwellposednessofdampedmultidimensionalgeneralizedboussinesqequations AT mingyouzhang globalwellposednessofdampedmultidimensionalgeneralizedboussinesqequations
_version_	1725043779879043072

Global well-posedness of damped multidimensional generalized Boussinesq equations

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