Global well-posedness for nonhomogeneous magnetic Bénard system

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Applicable Analysis Pub Date : 2023-10-21 DOI:10.1080/00036811.2023.2271941

Xin Zhong

引用次数: 0

Abstract

AbstractWe establish the global existence and uniqueness of strong solutions for nonhomogeneous magnetic Bénard system with far field vacuum in the whole two-dimensional (2D) plane. In particular, the initial data can be arbitrarily large. Our method relies heavily on the structure of the system under consideration and spatial dimension.Keywords: Nonhomogeneous magnetic Bénard systemglobal well-posednessCauchy problemlarge initial datavacuum2020 Mathematics Subject Classifications: 35Q3576D0376W05 AcknowledgmentsThe author would like to thank the referees for their helpful suggestions and valuable comments, which helped him a lot to improve the presentation of the original manuscript.Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThis research was partially supported by the National Natural Science Foundation of China [grant numbers 11901474 and 12371227] and the Innovation Support Program for Chongqing Overseas Returnees [grant number cx2020082].

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非齐次磁b系统的全局适定性

摘要建立了具有远场真空的非齐次磁bsamadard系统在整个二维平面上强解的整体存在唯一性。特别是，初始数据可以任意大。我们的方法在很大程度上依赖于所考虑的系统的结构和空间维度。关键词:非均质磁b 通讯通讯系统全局定态性柯西问题大初始数据空间2020数学学科分类:35Q3576D0376W05致谢感谢审稿人提出的有益建议和宝贵意见，对作者改进原稿的表达有很大帮助。披露声明作者未报告潜在的利益冲突。本研究得到国家自然科学基金项目[批准号:11901474和12371227]和重庆海归创新支持计划[批准号:cx2020082]的部分资助。

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来源期刊

Applicable Analysis 数学-应用数学

CiteScore

2.60

自引率

9.10%

发文量

175

审稿时长

2 months

期刊介绍： Applicable Analysis is concerned primarily with analysis that has application to scientific and engineering problems. Papers should indicate clearly an application of the mathematics involved. On the other hand, papers that are primarily concerned with modeling rather than analysis are outside the scope of the journal General areas of analysis that are welcomed contain the areas of differential equations, with emphasis on PDEs, and integral equations, nonlinear analysis, applied functional analysis, theoretical numerical analysis and approximation theory. Areas of application, for instance, include the use of homogenization theory for electromagnetic phenomena, acoustic vibrations and other problems with multiple space and time scales, inverse problems for medical imaging and geophysics, variational methods for moving boundary problems, convex analysis for theoretical mechanics and analytical methods for spatial bio-mathematical models.