The Dynamics of Sine-Gordon System with Dirichlet Boundary Condition

The Dynamics of Sine-Gordon System with Dirichlet Boundary Condition

Year:    2000

Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 3 : pp. 226–234

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2000-JPDE-5509

Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 3 : pp. 226–234

Published online:    2000-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Global attractor