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Volume 13, Issue 4
The Attractors for Landau-Lifshitz-Maxwell Equations

Boling Guo & Fengqiu Su

J. Part. Diff. Eq., 13 (2000), pp. 320-340.

Published online: 2000-11

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  • 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.
  • Keywords

Landau-Lifshitz-Maxwell equations global attractor

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@Article{JPDE-13-320, author = {Boling Guo and Fengqiu Su }, title = {The Attractors for Landau-Lifshitz-Maxwell Equations}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {4}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5517.html} }
TY - JOUR T1 - The Attractors for Landau-Lifshitz-Maxwell Equations AU - Boling Guo & Fengqiu Su JO - Journal of Partial Differential Equations VL - 4 SP - 320 EP - 340 PY - 2000 DA - 2000/11 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5517.html KW - Landau-Lifshitz-Maxwell equations KW - global attractor AB - 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.
Boling Guo and Fengqiu Su . (2000). The Attractors for Landau-Lifshitz-Maxwell Equations. Journal of Partial Differential Equations. 13 (4). 320-340. doi:
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