The Attractors for Landau-Lifshitz-Maxwell Equations

The Attractors for Landau-Lifshitz-Maxwell Equations

Year:    2000

Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 4 : pp. 320–340

Abstract

The existence of the attractors of the periodic initial value problem for the Landau-Lifshitz-Maxwell equations in one and two space dimensions is proved. We also get accurate estimates of the upper bounds of Hausdorff and fractal dimensions for the attractors by means of uniform a priori estimates for time and Lyapunov functional method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2000-JPDE-5517

Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 4 : pp. 320–340

Published online:    2000-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:    Landau-Lifshitz-Maxwell equations