非局部漂移-扩散方程的势理论

IF 2.6 1区数学 Q1 MATHEMATICS, APPLIED

Archive for Rational Mechanics and Analysis Pub Date : 2024-11-29 DOI:10.1007/s00205-024-02073-w

Quoc-Hung Nguyen, Simon Nowak, Yannick Sire, Marvin Weidner

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引用次数: 0

摘要

本文旨在通过点势估计证明非局部漂移扩散方程新的精细正则性结果。我们的分析只需要对无发散漂移项做最低限度的假设，使我们能够将临界阶的漂移仅仅包含在 BMO 中。特别是，我们的结果使我们能够推导出耗散表面准地动方程的新估计值。

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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Potential Theory for Nonlocal Drift-Diffusion Equations

The purpose of this paper is to prove new fine regularity results for nonlocal drift-diffusion equations via pointwise potential estimates. Our analysis requires only minimal assumptions on the divergence free drift term, enabling us to include drifts of critical order belonging merely to BMO. In particular, our results allow us to derive new estimates for the dissipative surface quasi-geostrophic equation.

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来源期刊

Archive for Rational Mechanics and Analysis 物理-力学

CiteScore

5.10

自引率

8.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The Archive for Rational Mechanics and Analysis nourishes the discipline of mechanics as a deductive, mathematical science in the classical tradition and promotes analysis, particularly in the context of application. Its purpose is to give rapid and full publication to research of exceptional moment, depth and permanence.