Global well-posedness of damped multidimensional generalized Boussinesq equations

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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Bibliographic Details
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
Description
Summary: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.
ISSN:1072-6691

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