Compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space

IF 1.2 2区数学 Q1 MATHEMATICS Transactions of the American Mathematical Society Pub Date : 2024-04-19 DOI:10.1090/tran/9197

Ning Jiang, Yi-Long Luo, Shaojun Tang

引用次数: 0

Abstract

In this paper, we prove the compressible Euler limit from the Boltzmann equation with hard sphere collisional kernel and complete diffusive boundary condition in half-space by employing the Hilbert expansion which includes interior and Knudsen layers. This rigorously justifies the corresponding formal analysis in Sone’s book [Molecular gas dynamics, Birkhäuser Boston, Inc., Boston, MA, 2007] in the context of short time smooth solutions, and also generalizes the classic Caflisch’s result [Comm. Pure Appl. Math. 33 (1980), pp. 651–666] to initial-boundary problem case.

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半空间中具有完全扩散边界条件的玻尔兹曼方程的可压缩欧拉极限

在本文中，我们利用包含内层和努森层的希尔伯特展开，证明了半空间中具有硬球碰撞核和完全扩散边界条件的玻耳兹曼方程的可压缩欧拉极限。这有力地证明了 Sone 的著作[Molecular gas dynamics, Birkhäuser Boston, Inc., Boston, MA, 2007]中关于短时间平稳解的相应形式分析，并将经典的 Caflisch 结果[Comm. Pure Appl.

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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来源期刊

Transactions of the American Mathematical Society 数学-数学

CiteScore

2.30

自引率

7.70%

发文量

171

审稿时长

3-6 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to research articles in all areas of pure and applied mathematics. To be published in the Transactions, a paper must be correct, new, and significant. Further, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Papers of less than 15 printed pages that meet the above criteria should be submitted to the Proceedings of the American Mathematical Society. Published pages are the same size as those generated in the style files provided for AMS-LaTeX.

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