Stationary solutions to stochastic 3D Euler equations in Hölder space

Lin Lü; Rongchan Zhu

doi:10.1016/j.spa.2024.104465

Stationary solutions to stochastic 3D Euler equations in Hölder space

Lin Lü
, Rongchan Zhu^*

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

We establish the existence of infinitely many global and stationary solutions in C(R,C^ϑ) space for some ϑ>0 to the three-dimensional Euler equations driven by an additive stochastic forcing. The result is based on a new stochastic version of the convex integration method, incorporating the stochastic convex integration method developed in Hofmanová et al. (2022) and pathwise estimates to derive uniform moment estimates independent of time.

源语言	英语
文章编号	104465
期刊	Stochastic Processes and their Applications
卷	177
DOI	https://doi.org/10.1016/j.spa.2024.104465
出版状态	已出版 - 11月 2024

访问文件

10.1016/j.spa.2024.104465

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{2379c6600b144271b3f60100cc60424a,

title = "Stationary solutions to stochastic 3D Euler equations in H{\"o}lder space",

abstract = "We establish the existence of infinitely many global and stationary solutions in C(R,Cϑ) space for some ϑ>0 to the three-dimensional Euler equations driven by an additive stochastic forcing. The result is based on a new stochastic version of the convex integration method, incorporating the stochastic convex integration method developed in Hofmanov{\'a} et al. (2022) and pathwise estimates to derive uniform moment estimates independent of time.",

keywords = "Convex integration, H{\"o}lder space, Stationary solutions, Stochastic Euler equations",

author = "Lin L{\"u} and Rongchan Zhu",

note = "Publisher Copyright: {\textcopyright} 2024 Elsevier B.V.",

year = "2024",

month = nov,

doi = "10.1016/j.spa.2024.104465",

language = "English",

volume = "177",

journal = "Stochastic Processes and their Applications",

issn = "0304-4149",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Stationary solutions to stochastic 3D Euler equations in Hölder space

AU - Lü, Lin

AU - Zhu, Rongchan

PY - 2024/11

Y1 - 2024/11

N2 - We establish the existence of infinitely many global and stationary solutions in C(R,Cϑ) space for some ϑ>0 to the three-dimensional Euler equations driven by an additive stochastic forcing. The result is based on a new stochastic version of the convex integration method, incorporating the stochastic convex integration method developed in Hofmanová et al. (2022) and pathwise estimates to derive uniform moment estimates independent of time.

AB - We establish the existence of infinitely many global and stationary solutions in C(R,Cϑ) space for some ϑ>0 to the three-dimensional Euler equations driven by an additive stochastic forcing. The result is based on a new stochastic version of the convex integration method, incorporating the stochastic convex integration method developed in Hofmanová et al. (2022) and pathwise estimates to derive uniform moment estimates independent of time.

KW - Convex integration

KW - Hölder space

KW - Stationary solutions

KW - Stochastic Euler equations

UR - https://www.scopus.com/pages/publications/85201701068

U2 - 10.1016/j.spa.2024.104465

DO - 10.1016/j.spa.2024.104465

M3 - Article

AN - SCOPUS:85201701068

SN - 0304-4149

VL - 177

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

M1 - 104465

ER -

Stationary solutions to stochastic 3D Euler equations in Hölder space

摘要

访问文件

其它文件与链接

指纹

引用此