Two blowup solutions for the inhomogeneous isotropic Landau-Lifshitz equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:409

Article

Zhong, Penghong^1,2  Wang, Shu²  Zeng, Ming² 

[1] Guangdong Univ Educ, Dept Math, Guangzhou 510640, Guangdong, Peoples R China

[2] Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China

关键词: Inhomogeneous;    Landau-Lifshitz;    Solution;    Blow up;   

DOI  :  10.1016/j.jmaa.2013.06.061

来源: Elsevier

【 摘 要 】

Two exact blowup solutions of the (2 + 1)-dimensional space-time inhomogeneous isotropic Landau-Lifshitz equation (IILL for short) are constructed under suitable transformations. These blowup examples show that some solutions of the 2-dimensional IILL on S-2 can develop a finite time singularity from smooth initial data with finite energy in finite (or infinite) spatial domain. Some properties of one of these solutions are illustrated in plots. (C) 2013 Elsevier Inc. All rights reserved.

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