关于多分量金兹堡-朗道涡系统

IF 3.2 1区数学 Q1 MATHEMATICS Advances in Nonlinear Analysis Pub Date : 2022-05-29 DOI:10.1515/anona-2022-0315

R. Hadiji, Jongmin Han, Juhee Sohn

{"title":"关于多分量金兹堡-朗道涡系统","authors":"R. Hadiji, Jongmin Han, Juhee Sohn","doi":"10.1515/anona-2022-0315","DOIUrl":null,"url":null,"abstract":"Abstract We study the asymptotic behavior of solutions for n n -component Ginzburg-Landau equations as ε → 0 \\varepsilon \\to 0 . We prove that the minimizers converge locally in any C k {C}^{k} -norm to a solution of a system of generalized harmonic map equations.","PeriodicalId":51301,"journal":{"name":"Advances in Nonlinear Analysis","volume":" ","pages":""},"PeriodicalIF":3.2000,"publicationDate":"2022-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a system of multi-component Ginzburg-Landau vortices\",\"authors\":\"R. Hadiji, Jongmin Han, Juhee Sohn\",\"doi\":\"10.1515/anona-2022-0315\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We study the asymptotic behavior of solutions for n n -component Ginzburg-Landau equations as ε → 0 \\\\varepsilon \\\\to 0 . We prove that the minimizers converge locally in any C k {C}^{k} -norm to a solution of a system of generalized harmonic map equations.\",\"PeriodicalId\":51301,\"journal\":{\"name\":\"Advances in Nonlinear Analysis\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":3.2000,\"publicationDate\":\"2022-05-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Nonlinear Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1515/anona-2022-0315\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Nonlinear Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/anona-2022-0315","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

研究了n个n分量Ginzburg-Landau方程在ε→0 \varepsilon \to 0时解的渐近性质。证明了极小值在任意ck {C}^{k}范数上局部收敛于一个广义调和映射方程系统的解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

On a system of multi-component Ginzburg-Landau vortices

Abstract We study the asymptotic behavior of solutions for n n -component Ginzburg-Landau equations as ε → 0 \varepsilon \to 0 . We prove that the minimizers converge locally in any C k {C}^{k} -norm to a solution of a system of generalized harmonic map equations.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Advances in Nonlinear Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

6.00

自引率

9.50%

发文量

审稿时长

30 weeks

期刊介绍： Advances in Nonlinear Analysis (ANONA) aims to publish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The Journal focuses on papers that address significant problems in pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.