On the Pathwise Uniqueness of Stochastic 2D Euler Equations with Kraichnan Noise and \(L^p\)-data

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2025-05-14 DOI:10.1007/s00021-025-00943-1

Shuaijie Jiao, Dejun Luo

引用次数: 0

Abstract

In the recent work [arXiv:2308.03216], Coghi and Maurelli proved pathwise uniqueness of solutions to the vorticity form of stochastic 2D Euler equation, with Kraichnan transport noise and initial data in \(L^1\cap L^p\) for \(p>3/2\). The aim of this note is to remove the constraint on p, showing that pathwise uniqueness holds for all \(L^1\cap L^p\) initial data with arbitrary \(p>1\).

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具有Kraichnan噪声和\(L^p\) -数据的随机二维欧拉方程的路径唯一性

在最近的工作[arXiv:2308.03216]中，Coghi和Maurelli证明了随机二维欧拉方程涡旋形式解的路径唯一性，使用Kraichnan输运噪声和\(L^1\cap L^p\)中\(p>3/2\)的初始数据。本文的目的是消除对p的约束，表明路径唯一性适用于所有\(L^1\cap L^p\)初始数据和任意\(p>1\)。

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

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.