不可压缩流-涡片问题的局部适定性

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-05-16 DOI:10.1016/j.aim.2025.110339

Sicheng Liu , Zhouping Xin

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引用次数: 0

摘要

在表面张力和Syrovatskij条件下，证明了标准Sobolev空间中不可压缩电流-涡旋片问题的局部适定性，表明毛细力和大切向磁场都能稳定电流-涡旋片的运动。此外，在Syrovatskij条件下，建立了流涡片运动的表面张力消失极限。这些结果不需要假设分离两个等离子体的界面是一个图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Local well-posedness of the incompressible current-vortex sheet problems

We prove the local well-posedness of the incompressible current-vortex sheet problems in standard Sobolev spaces under the surface tension or the Syrovatskij condition, which shows that both capillary forces and large tangential magnetic fields can stabilize the motion of current-vortex sheets. Furthermore, under the Syrovatskij condition, the vanishing surface tension limit is established for the motion of current-vortex sheets. These results hold without assuming the interface separating the two plasmas being a graph.

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.