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Author:

Zhong, Penghong (Zhong, Penghong.) | Wang, Shu (Wang, Shu.) (Scholars:王术) | Zeng, Ming (Zeng, Ming.)

Indexed by:

Scopus SCIE

Abstract:

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.

Keyword:

Landau-Lifshitz Inhomogeneous Blow up Solution

Author Community:

  • [ 1 ] [Zhong, Penghong]Guangdong Univ Educ, Dept Math, Guangzhou 510640, Guangdong, Peoples R China
  • [ 2 ] [Zhong, Penghong]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 3 ] [Wang, Shu]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China
  • [ 4 ] [Zeng, Ming]Beijing Univ Technol, Dept Appl Math, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Zhong, Penghong]Guangdong Univ Educ, Dept Math, Guangzhou 510640, Guangdong, Peoples R China

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Source :

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

ISSN: 0022-247X

Year: 2014

Issue: 1

Volume: 409

Page: 74-83

1 . 3 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:81

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 6

SCOPUS Cited Count: 7

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 12

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