Rotationally symmetric p-harmonic flows from D2 to S2: Local well-posedness and finite time blow-up

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:416

Article

Gabriel Iagar, Razvan^1,2  Moll, Salvador¹ 

[1] Univ Valencia, Dept Anal Matemat, E-46100 Burjassot, Valencia, Spain

[2] Romanian Acad, Inst Math, RO-014700 Bucharest, Romania

关键词: p-harmonic flow;    Rotational symmetry;    p-Laplacian;    Local well-posedness;    Finite time blow-up;    Image processing;    Liquid crystals;    Ferromagnetism;   

DOI  :  10.1016/j.jmaa.2014.02.045

来源: Elsevier

【 摘 要 】

We study the p-harmonic flow from the unit disk D-2 to the unit sphere S-2 under rotational symmetry. We show that the Dirichlet problem with constant boundary condition is locally well-posed in the class of classical solutions and we also give a sufficient criterion, in terms of the boundary condition, for the derivative of the solutions to blow-up in finite time. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free