Uniform regularity for the Landau-Lifshitz-Maxwell system without Dissipation

Jishan Fan; Tohru Ozawa

doi:10.12988/ams.2014.410874

Uniform regularity for the Landau-Lifshitz-Maxwell system without Dissipation

Jishan Fan, Tohru Ozawa

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we prove the existence of local solutions to the Cauchy problem for the 3D Landau-Lifshitz-Maxwell system without dissipation, where the local existence time and the corresponding Sobolev estimates are independent of the dielectric constant e{open} with 0 < ε < 1. Consequently, the limit as ε → 0 can be established.

Original language	English
Pages (from-to)	8547-8557
Number of pages	11
Journal	Applied Mathematical Sciences
Volume	8
Issue number	169-172
DOIs	https://doi.org/10.12988/ams.2014.410874
Publication status	Published - 2014

Keywords

Landau-Lifshitz-Maxwell
Schrffodinger map
Uniform existence

ASJC Scopus subject areas

Applied Mathematics

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10.12988/ams.2014.410874

Cite this

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abstract = "In this paper, we prove the existence of local solutions to the Cauchy problem for the 3D Landau-Lifshitz-Maxwell system without dissipation, where the local existence time and the corresponding Sobolev estimates are independent of the dielectric constant e{open} with 0 < ε < 1. Consequently, the limit as ε → 0 can be established.",

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KW - Schrffodinger map

KW - Uniform existence

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Uniform regularity for the Landau-Lifshitz-Maxwell system without Dissipation

Abstract

Keywords

ASJC Scopus subject areas

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