Strong solutions for a stochastic model of two-dimensional second grade fluids driven by Lévy noise

Shijie Shang; Jianliang Zhai; Tusheng Zhang

doi:10.1016/j.jmaa.2018.10.068

Strong solutions for a stochastic model of two-dimensional second grade fluids driven by Lévy noise

Shijie Shang^*, Jianliang Zhai, Tusheng Zhang

^*Corresponding author for this work

University Of Science & Technology Of China

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we consider stochastic second grade fluids driven by Lévy noise on a bounded domain of R ² . Global existence and uniqueness of strong probabilistic solutions are established, which improves the existing corresponding results for martingale solutions in literature.

Original language	English
Pages (from-to)	126-146
Number of pages	21
Journal	Journal of Mathematical Analysis and Applications
Volume	471
Issue number	1-2
Early online date	29 Oct 2018
DOIs	https://doi.org/10.1016/j.jmaa.2018.10.068
Publication status	Published - 1 Mar 2019

Keywords

Locally monotonicity conditions
Lévy noise
Non-Newtonian fluids
Second grade fluids
Stochastic partial differential equations

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10.1016/j.jmaa.2018.10.068

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@article{8523fb94871d4281aec2ed1aa870b7a0,

title = "Strong solutions for a stochastic model of two-dimensional second grade fluids driven by L{\'e}vy noise",

abstract = " In this paper, we consider stochastic second grade fluids driven by L{\'e}vy noise on a bounded domain of R 2 . Global existence and uniqueness of strong probabilistic solutions are established, which improves the existing corresponding results for martingale solutions in literature. ",

keywords = "Locally monotonicity conditions, L{\'e}vy noise, Non-Newtonian fluids, Second grade fluids, Stochastic partial differential equations",

author = "Shijie Shang and Jianliang Zhai and Tusheng Zhang",

year = "2019",

month = mar,

day = "1",

doi = "10.1016/j.jmaa.2018.10.068",

language = "English",

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journal = "Journal of Mathematical Analysis and Applications",

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TY - JOUR

T1 - Strong solutions for a stochastic model of two-dimensional second grade fluids driven by Lévy noise

AU - Shang, Shijie

AU - Zhai, Jianliang

AU - Zhang, Tusheng

PY - 2019/3/1

Y1 - 2019/3/1

N2 - In this paper, we consider stochastic second grade fluids driven by Lévy noise on a bounded domain of R 2 . Global existence and uniqueness of strong probabilistic solutions are established, which improves the existing corresponding results for martingale solutions in literature.

AB - In this paper, we consider stochastic second grade fluids driven by Lévy noise on a bounded domain of R 2 . Global existence and uniqueness of strong probabilistic solutions are established, which improves the existing corresponding results for martingale solutions in literature.

KW - Locally monotonicity conditions

KW - Lévy noise

KW - Non-Newtonian fluids

KW - Second grade fluids

KW - Stochastic partial differential equations

UR - https://www.scopus.com/pages/publications/85055972946

U2 - 10.1016/j.jmaa.2018.10.068

DO - 10.1016/j.jmaa.2018.10.068

M3 - Article

AN - SCOPUS:85055972946

SN - 0022-247X

VL - 471

SP - 126

EP - 146

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1-2

ER -

Strong solutions for a stochastic model of two-dimensional second grade fluids driven by Lévy noise

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Keywords

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