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Volume 11, Issue 4
Attractors for the Long-short Wave Equations

Boling Guo & Bixiang Wang

J. Part. Diff. Eq., 11 (1998), pp. 361-383.

Published online: 1998-11

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  • Abstract
In the present paper, we study the long time behaviour of solutions for the long-short wave equations with zero order dissipation. We first construct the global weak attractor for this system in H²_{per} × H¹_{per}. And then by exact analysis of two energy equations, we show that the global weak at attractor is actually the global strong attractor in H²_{per}.
  • Keywords

Global attractor zero order dissipation long-short wave equations

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@Article{JPDE-11-361, author = {Boling Guo and Bixiang Wang }, title = {Attractors for the Long-short Wave Equations}, journal = {Journal of Partial Differential Equations}, year = {1998}, volume = {11}, number = {4}, pages = {361--383}, abstract = { In the present paper, we study the long time behaviour of solutions for the long-short wave equations with zero order dissipation. We first construct the global weak attractor for this system in H²_{per} × H¹_{per}. And then by exact analysis of two energy equations, we show that the global weak at attractor is actually the global strong attractor in H²_{per}.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5576.html} }
TY - JOUR T1 - Attractors for the Long-short Wave Equations AU - Boling Guo & Bixiang Wang JO - Journal of Partial Differential Equations VL - 4 SP - 361 EP - 383 PY - 1998 DA - 1998/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5576.html KW - Global attractor KW - zero order dissipation KW - long-short wave equations AB - In the present paper, we study the long time behaviour of solutions for the long-short wave equations with zero order dissipation. We first construct the global weak attractor for this system in H²_{per} × H¹_{per}. And then by exact analysis of two energy equations, we show that the global weak at attractor is actually the global strong attractor in H²_{per}.
Boling Guo and Bixiang Wang . (1998). Attractors for the Long-short Wave Equations. Journal of Partial Differential Equations. 11 (4). 361-383. doi:
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