Volume 13, Issue 3
The Dynamics of Sine-Gordon System with Dirichlet Boundary Condition

Yingdong Liu & Zhengyuan Li

DOI:

J. Part. Diff. Eq., 13 (2000), pp. 226-234.

Published online: 2000-08

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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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@Article{JPDE-13-226, author = {}, title = {The Dynamics of Sine-Gordon System with Dirichlet Boundary Condition}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {3}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5509.html} }
TY - JOUR T1 - The Dynamics of Sine-Gordon System with Dirichlet Boundary Condition JO - Journal of Partial Differential Equations VL - 3 SP - 226 EP - 234 PY - 2000 DA - 2000/08 SN - 13 DO - http://dor.org/ UR - https://global-sci.org/intro/jpde/5509.html KW - Global attractor KW - gradient system KW - steady states AB - 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.
Yingdong Liu & Zhengyuan Li . (2019). The Dynamics of Sine-Gordon System with Dirichlet Boundary Condition. Journal of Partial Differential Equations. 13 (3). 226-234. doi:
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