Yi Niu, Xiuyan Peng, Mingyou Zhang
Abstract:
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.
Submitted June 3, 2014. Published April 30, 2015.
Math Subject Classifications: 35A01, 35B44, 35L75.
Key Words: Cauchy problem; global solution; finite time blow up; damping term.
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Yi Niu College of Automation Harbin Engineering University 150001, China email: niuyipde@163.com |
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Xiuyan Peng College of Automation Harbin Engineering University 150001, China email: pxygll@163.com |
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Mingyou Zhang College of Automation Harbin Engineering University 150001, China email: zmy1985624@163.com |
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