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

Yingdong Liu & Zhengyuan Li

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 = {Yingdong Liu and Zhengyuan Li }, 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 AU - Yingdong Liu & Zhengyuan Li JO - Journal of Partial Differential Equations VL - 3 SP - 226 EP - 234 PY - 2000 DA - 2000/08 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/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 and Zhengyuan Li . (2000). The Dynamics of Sine-Gordon System with Dirichlet Boundary Condition. Journal of Partial Differential Equations. 13 (3). 226-234. doi:
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