Lp-solutions of the Navier-Stokes equation with fractional Brownian noise

被引：4

作者：

Ferrario, Benedetta ^{[1
]}

Olivera, Christian ^{[2
]}

机构：

[1] Univ Pavia, Dipartimento Matemat, Via Ferrata 5, I-27100 Pavia, Italy

[2] Univ Estadual Campinas, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP, Brazil

来源：

AIMS MATHEMATICS | 2018年 / 3卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

stochastic partial differential equations; Navier-Stokes equations; mild solution; fractional Brownian motion; FLUID;

D O I：

10.3934/Math.2018.4.539

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Navier-Stokes equations on a smooth bounded domain D subset of R-d (d = 2 or 3), under the effect of an additive fractional Brownian noise. We show local existence and uniqueness of a mild L(-)(p)solution for p > d.

引用

页码：539 / 553

页数：15

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