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Volume 18, Issue 3
Global Solution and Its Long Time Behavior for the Generalized Long-short Wave Equations

Ruifeng Zhang & Boling Guo

J. Part. Diff. Eq., 18 (2005), pp. 206-218.

Published online: 2005-08

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  • Abstract

The long time behavior of the solutions of the generalized long-short wave equations with dissipation term is studied. The existence of global attractor of the initial periodic boundary value is proved by means of a uniform a priori estimate for time. And also the dimensions of the global attractor are estimated.

  • Keywords

The generalized long-short wave equations a uniform priori estimate global attractor Hausdorff dimension fractal dimension

  • AMS Subject Headings

35B40 35K57

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-18-206, author = {Ruifeng Zhang and Boling Guo }, title = {Global Solution and Its Long Time Behavior for the Generalized Long-short Wave Equations}, journal = {Journal of Partial Differential Equations}, year = {2005}, volume = {18}, number = {3}, pages = {206--218}, abstract = {

The long time behavior of the solutions of the generalized long-short wave equations with dissipation term is studied. The existence of global attractor of the initial periodic boundary value is proved by means of a uniform a priori estimate for time. And also the dimensions of the global attractor are estimated.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5356.html} }
TY - JOUR T1 - Global Solution and Its Long Time Behavior for the Generalized Long-short Wave Equations AU - Ruifeng Zhang & Boling Guo JO - Journal of Partial Differential Equations VL - 3 SP - 206 EP - 218 PY - 2005 DA - 2005/08 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5356.html KW - The generalized long-short wave equations KW - a uniform priori estimate KW - global attractor KW - Hausdorff dimension KW - fractal dimension AB -

The long time behavior of the solutions of the generalized long-short wave equations with dissipation term is studied. The existence of global attractor of the initial periodic boundary value is proved by means of a uniform a priori estimate for time. And also the dimensions of the global attractor are estimated.

Ruifeng Zhang and Boling Guo . (2005). Global Solution and Its Long Time Behavior for the Generalized Long-short Wave Equations. Journal of Partial Differential Equations. 18 (3). 206-218. doi:
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