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Some Problems of Fourth Order Nonlinear Wave Equation (System)

Author: DingLiJuan
Tutor: XiaoLiMing
School: Guangdong Polytechnic Normal University
Course: System theory
Keywords: Nonlinear wave system Initial boundary value problems Global strong solution the existence and the uniqueness vacuum isolating
CLC: O175.29
Type: Master's thesis
Year: 2013
Downloads: 3
Quote: 0
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Abstract


In this paper, we have studied the two kinds of frst initial boundary value problems fornonlinear wave systems and vacuum isolating for a class of nonlinear dispersive-dissipativewave equations. In the second part, we study the initial boundary value problems for a classof nonlinear wave systemsand the existence and the uniqueness of global strong solution are proved by means of theGalerkin method.In the third part, we study the following initial boundary value problems for a class of n-dimensional nonlinear wave system of fourth order, and the existence and the uniqueness ofglobal strong solution are proved by means of the Galerkin method.In the fourth part, on the basis of the existence of solutions we study vacuum isolating ofsolutions for a class of n-dimensional nonlinear wave equations of fourth-order.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Partial Differential Equations > Nonlinear partial differential equations
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