Paracontrolled quasi-geostrophic equation with space-time white noise

IF 1.5 3区数学 Q1 MATHEMATICS Dissertationes Mathematicae Pub Date : 2018-06-02 DOI:10.4064/dm806-7-2020

Y. Inahama, Y. Sawano

引用次数: 0

Abstract

We study the stochastic dissipative quasi-geostrophic equation with space-time white noise on the two-dimensional torus. This equation is highly singular and basically ill-posed in its original form. The main objective of the present paper is to formulate and solve this equation locally in time in the framework of paracontrolled calculus when the differential order of the main term, the fractional Laplacian, is larger than $7/4$. No renormalization has to be done for this model.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

带时空白噪声的顺控准地转方程

研究了二维环面上具有时空白噪声的随机耗散拟地转方程。这个方程是高度奇异的，在其原始形式中基本上是病态的。本文的主要目的是在副控制微积分的框架下，在主项分数阶拉普拉斯函数的微分阶大于$7/4$时，在时间上局部地表述和求解这个方程。这个模型不需要进行重整化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Dissertationes Mathematicae 数学-数学

CiteScore

2.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： DISSERTATIONES MATHEMATICAE publishes long research papers (preferably 50-100 pages) in any area of mathematics. An important feature of papers accepted for publication should be their utility for a broad readership of specialists in the domain. In particular, the papers should be to some reasonable extent self-contained. The paper version is considered as primary. The following criteria are taken into account in the reviewing procedure: correctness, mathematical level, mathematical novelty, utility for a broad readership of specialists in the domain, language and editorial aspects. The Editors have adopted appropriate procedures to avoid ghostwriting and guest authorship.

期刊最新文献

Continuous 2-colorings and topological dynamics On bounded coordinates in GNS spaces Product decompositions of semigroups induced by action pairs On the $(n+3)$-webs by rational curves induced by the forgetful maps on the moduli spaces $\mathcal M_{0,n+3}$ Isolated points of spaces of homomorphisms from ordered AL-algebras