Well-posedness of stochastic mSQG equations with Kraichnan noise and Lp data

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-04-30 DOI:10.1016/j.jde.2025.113362

Shuaijie Jiao , Dejun Luo

引用次数: 0

Abstract

We consider stochastic mSQG (modified Surface Quasi-Geostrophic) equations with multiplicative transport noise of Kraichnan type, and

L^{p}

-initial conditions. Inspired by the recent work of Coghi and Maurelli [11], we show weak existence and pathwise uniqueness of solutions to the equations for suitable choices of parameters in the nonlinearity, the noise and the integrability of initial data.

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具有Kraichnan噪声和Lp数据的随机mSQG方程的适定性

本文考虑了具有Kraichnan型乘性输运噪声和lp初始条件的随机mSQG （modified Surface Quasi-Geostrophic）方程。受Coghi和Maurelli[11]最近工作的启发，我们证明了在非线性、噪声和初始数据可积性下参数选择合适的方程解的弱存在性和路径唯一性。

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 Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics