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
收藏
页码：539 / 553
页数：15
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