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arXiv 2503.03491math.AP
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关于作用率可接受性准则

On action rate admissibility criteria

University of Innsbruck(因斯布鲁克大学);University of Strathclyde(思克莱德大学);Heriot-Watt University(赫瑞瓦特大学);University of Wisconsin, Madison(威斯康星大学麦迪逊分校)

Heiko Gimperlein, Michael Grinfeld, Robin J. Knops, Marshall Slemrod

AI总结:

本文提出新的可接受性准则,用于研究等熵可压缩欧拉流体的二维黎曼问题,证明该准则更偏好2-激波解。

摘要:

我们基于最小作用原理提出了新的初始值问题的可接受性准则。这些准则应用于等熵可压缩欧拉流体的二维黎曼初始值问题。证明了该准则更倾向于2-激波解,而非由Chiodaroli和Kreml通过凸积分得到的解,或由Markfelder和Pellhammer最近构造的混合解。

英文摘要:

We formulate new admissibility criteria for initial value problems motivated by the least action principle. These are applied to a two-dimensional Riemann initial value problem for the isentropic compressible Euler fluid flow. It is shown that the criterion prefers the 2-shock solution to solutions obtained by convex integration by Chiodaroli and Kreml or to the hybrid solutions recently constructed by Markfelder and Pellhammer.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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