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Location of Zeros for the Weak Solution to a p-Ginzburg-Landau Problem

Location of Zeros for the Weak Solution to a $p$-Ginzburg-Landau Problem

Year:    2018

Author:    Desheng Zhan

Communications in Mathematical Research , Vol. 34 (2018), Iss. 4 : pp. 363–370

Abstract

This paper is concerned with the asymptotic behavior of the solution uε of a p-Ginzburg-Landau system with the radial initial-boundary data. The author proves that the zeros of uε in the parabolic domain B1(0)×(0,T] locate near the axial line {0}×(0,T]. In particular, all the zeros converge to this axial line when the parameter ε goes to zero.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2018.04.09

Communications in Mathematical Research , Vol. 34 (2018), Iss. 4 : pp. 363–370

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    p-Ginzburg-Landau equation initial-boundary value problem location of zero

Author Details

Desheng Zhan