Tutor: MaQiaoZhen

School: Northwest Normal University

Course: Applied Mathematics

Keywords: Suspension bridge equations Global attractor Semigroup Plate equation

CLC: O19

Type: Master's thesis

Year: 2013

Downloads: 2

Quote: 0

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Based on the theory of dynamical system, we consider the long-time be-haviors of the solution for the suspension bridge equation and Plate equation.In Chapter1, some preliminary results and important conclusions that we will used in this thesis are presented.In Chapter2, we study the following suspension bridge equation where β∈R. By applying the method of decomposing operator and con-structing compact operator in weighted space, the existence of global at-tractor is obtained in R1. Comparing with the similar problem in bounded domain, system is more difficult in verifying the necessary compactness of the semigroup.In Chapter3, we consider the following Plate equation where β∈R, Ω(?)Rn is a smooth bounded domain. Based on a new a priori estimate method, so-called asymptotic a priori estimate, the existence of a global attractor is proved for the Plate equation in a bounded domain. |

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