Well-posedness and regularity properties of 2d β-planestochastic Navier-Stokes equations in a periodic channel

被引：0

作者：

Cacchio, Yuri ^{[1
]}

Hannani, Amirali ^{[2
]}

Staffilani, Gigliola ^{[3
]}

机构：

[1] Gran Sasso Sci Inst, Viale Francesco Crispi, 7, I-67100 Laquila, Italy

[2] Katholieke Univ Leuven, Inst Theoret Fys, Celestijnenlaan 200D, B-3001 Leuven, Belgium

[3] MIT, Dept Math, 77 Massachusetts Ave, Cambridge, MA 02139 USA

来源：

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2025年 / 18卷 / 01期

关键词：

Stochastic Navier-Stokes; beta-plane; Well-posedness; Stationary solution; 2-DIMENSIONAL TURBULENCE; STATIONARY SOLUTIONS; ZONAL JETS; PLANE; SPECTRA; SURFACE; FLOWS;

D O I：

10.1007/s40574-024-00451-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the 2d beta-plane stochastic Navier-Stokes equations in a periodic channel. We prove the well-posedness and existence of the stationary measure, as well as certain regularity estimates concerning the support of the stationary measure. The mentioned estimates are crucial for the rigorous study of the cascade phenomena in this equation [8]. To the best of our knowledge, this is the first mathematically rigorous treatment of these equations involving both the stochastic noise and the Coriolis force.

引用

页码：65 / 84

页数：20

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