Attractors for the Long-short Wave Equations

Attractors for the Long-short Wave Equations

Year:    1998

Journal of Partial Differential Equations, Vol. 11 (1998), Iss. 4 : pp. 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}.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1998-JPDE-5576

Journal of Partial Differential Equations, Vol. 11 (1998), Iss. 4 : pp. 361–383

Published online:    1998-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:    Global attractor