Hyperviscous stochastic Navier-Stokes equations with white noise invariant measure

被引：5

作者：

Gubinelli, M. ^{[1
,2
]}

Turra, M. ^{[1
,2
]}

机构：

[1] Univ Bonn, Inst Appl Math, Endenicher Allee 60, D-53115 Bonn, Germany

[2] Univ Bonn, Hausdorff Ctr Math, Endenicher Allee 60, D-53115 Bonn, Germany

来源：

STOCHASTICS AND DYNAMICS | 2020年 / 20卷 / 06期

关键词：

Stochastic Navier-Stokes equation; Kolmogorov operator; martingale problem; STRONG UNIQUENESS; HILBERT-SPACES; SDES; DRIFT;

D O I：

10.1142/S0219493720400055

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We prove existence and uniqueness of martingale solutions to a (slightly) hyper-viscous stochastic Navier-Stokes equation in 2d with initial conditions absolutely continuous with respect to the Gibbs measure associated to the energy, getting the results both in the torus and in the whole space setting.

引用

页数：39

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