The Dynamics of Sine-Gordon System with Dirichlet Boundary Condition

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Abstract

We prove the existence of the global attractor of Sine-Gordon system with Dirichlet boundary condition and show the attractor is the unique steady state when the damping constant and the diffusion constant are sufficiently large.

Keywords:

Global attractor;gradient system;steady states
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The Dynamics of Sine-Gordon System with Dirichlet Boundary Condition. (2000). Journal of Partial Differential Equations, 13(3), 226-234. https://www.global-sci.com/jpde/article/view/3945