Martingale solutions and Markov selection of stochastic 3D Navier-Stokes equations with jump

被引：23

作者：

Dong, Zhao ^{[2
]}

Zhai, Jianliang ^{[1
,2
]}

机构：

[1] Peking Univ, LMAM, Sch Math Sci, Beijing 100871, Peoples R China

[2] Acad Sinica, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 250卷 / 06期

关键词：

3D Navier-Stokes equation; Martingale solutions; Markov selection; Levy processes;

D O I：

10.1016/j.jde.2011.01.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence of martingale solutions of stochastic 3D Navier-Stokes equations with jump, and following Flandoli and Romito (2008) [7] and Goldys et al. (2009) [8], we prove the existence of Markov selections for the martingale solutions. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2737 / 2778

页数：42

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