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Start Over Author "Xiuyan Peng" Publisher texas state university
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1. Global well-posedness of damped multidimensional generalized Boussinesq equations

Author

Yi Niu, Xiuyan Peng, and Mingyou Zhang

Subjects
Cauchy problem, global solution, finite time blow up, damping term, Mathematics, QA1-939
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.

Published
2015

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