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 $u_\varepsilon$ of a $p$-Ginzburg-Landau system with the radial initial-boundary data. The author proves that the zeros of $u_\varepsilon$ in the parabolic domain $B_1(0)\times (0,\,T]$ locate near the axial line $\{0\}\times(0,\,T]$. In particular, all the zeros converge to this axial line when the parameter $\varepsilon$ 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