Very Regular Solutions for the Landau-Lifschitz Equation with Electric Current

Citation:

Gilles CARBOU,Rida JIZZINI.Very Regular Solutions for the Landau-Lifschitz Equation with Electric Current[J].Chinese Annals of Mathematics B,2018,39(5):889~916
Page view: 69        Net amount: 54

Authors:

Gilles CARBOU; Rida JIZZINI
Abstract: The authors consider a model of ferromagnetic material subject to an electric current, and prove the local in time existence of very regular solutions for this model in the scale of $H^k$ spaces. In particular, they describe in detail the compatibility conditions at the boundary for the initial data.

Keywords:

Ferromagnetic materials, Compatibility conditions, Existence result

Classification:

35K55, 35Q60
Download PDF Full-Text

Organizer:The Ministry of Education of China Sponsor:Fudan University Address:220 Handan Road, Fudan University, Shanghai, China E-mail:edcam@fudan.edu.cn
Designed by Beijing E-Tiller Co.,Ltd.