Dissertationes mathematicae

Yuzuru Inahama, Yoshihiro Sawano

研究成果: Contribution to journalArticle査読

抄録

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.

本文言語英語
ジャーナルDissertationes Mathematicae
558
DOI
出版ステータス出版済み - 2020

All Science Journal Classification (ASJC) codes

  • 数学 (全般)

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