Navier-Stokes型方程的分布相关SDEs

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Electronic Communications in Probability Pub Date : 2022-01-01 DOI:10.1214/22-ecp479

Fengchao Wang

引用次数: 1

摘要

为了描述拉普拉斯扩展为奇异二阶微分算子的Navier-Stokes型方程，我们提出了一类基于分布的SDEs。导出了这些SDEs的适定性估计和正则性估计。

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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Distribution dependent SDEs for Navier-Stokes type equations

To characterize Navier-Stokes type equations where the Laplacian is extended to a singular second order diﬀerential operator, we propose a class of SDEs depending on the distribution in future. The well-posedness and regularity estimates are derived for these SDEs.

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来源期刊

Electronic Communications in Probability 工程技术-统计学与概率论

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Electronic Communications in Probability (ECP) publishes short research articles in probability theory. Its sister journal, the Electronic Journal of Probability (EJP), publishes full-length articles in probability theory. Short papers, those less than 12 pages, should be submitted to ECP first. EJP and ECP share the same editorial board, but with different Editors in Chief.