Volume 34, Issue 4
Location of Zeros for the Weak Solution to a $p$-Ginzburg-Landau Problem

Commun. Math. Res., 34 (2018), pp. 363-370.

Published online: 2019-12

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• 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.

• Keywords

$p$-Ginzburg-Landau equation, initial-boundary value problem, location of zero

• AMS Subject Headings

35B25, 35K65, 35Q60

zhandesheng559@163.com (Desheng Zhan)

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@Article{CMR-34-363, author = {Desheng and Zhan and zhandesheng559@163.com and 5989 and Department of Basic, Maanshan Technical College, Maanshan, Anhui, 243031 and Desheng Zhan}, title = {Location of Zeros for the Weak Solution to a $p$-Ginzburg-Landau Problem}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {34}, number = {4}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.04.09}, url = {http://global-sci.org/intro/article_detail/cmr/13511.html} }
TY - JOUR T1 - Location of Zeros for the Weak Solution to a $p$-Ginzburg-Landau Problem AU - Zhan , Desheng JO - Communications in Mathematical Research VL - 4 SP - 363 EP - 370 PY - 2019 DA - 2019/12 SN - 34 DO - http://doi.org/10.13447/j.1674-5647.2018.04.09 UR - https://global-sci.org/intro/article_detail/cmr/13511.html KW - $p$-Ginzburg-Landau equation, initial-boundary value problem, location of zero AB -

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.

Desheng Zhan. (2019). Location of Zeros for the Weak Solution to a $p$-Ginzburg-Landau Problem. Communications in Mathematical Research . 34 (4). 363-370. doi:10.13447/j.1674-5647.2018.04.09
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