Long Time Behavior of the Dissipative Generalized Symmetric Regularized Long Wave Equations

Long Time Behavior of the Dissipative Generalized Symmetric Regularized Long Wave Equations

Year:    2002

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 1 : pp. 35–45

Abstract

This paper deals with the long time behavior of solutions for the dissipative generalized symmetric regularized long wave equations. We show the existence of global weak attractors for the periodic initial value problem of the equations in H¹ × L². The finite dimensionality of the global attractors is also established.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JPDE-5439

Journal of Partial Differential Equations, Vol. 15 (2002), Iss. 1 : pp. 35–45

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Symmetric regularized long wave equation