By the same authors

From the same journal

Lp-solutions for stochastic Navier–Stokes equations with jump noise

Research output: Contribution to journalArticlepeer-review

Standard

Lp-solutions for stochastic Navier–Stokes equations with jump noise. / Zhu, Jiahui; Brzezniak, Zdzislaw; Liu, Wei.

In: Statistics and Probability Letters, Vol. 155, 108563, 01.12.2019.

Research output: Contribution to journalArticlepeer-review

Harvard

Zhu, J, Brzezniak, Z & Liu, W 2019, 'Lp-solutions for stochastic Navier–Stokes equations with jump noise', Statistics and Probability Letters, vol. 155, 108563. https://doi.org/10.1016/j.spl.2019.108563

APA

Zhu, J., Brzezniak, Z., & Liu, W. (2019). Lp-solutions for stochastic Navier–Stokes equations with jump noise. Statistics and Probability Letters, 155, [108563]. https://doi.org/10.1016/j.spl.2019.108563

Vancouver

Zhu J, Brzezniak Z, Liu W. Lp-solutions for stochastic Navier–Stokes equations with jump noise. Statistics and Probability Letters. 2019 Dec 1;155. 108563. https://doi.org/10.1016/j.spl.2019.108563

Author

Zhu, Jiahui ; Brzezniak, Zdzislaw ; Liu, Wei. / Lp-solutions for stochastic Navier–Stokes equations with jump noise. In: Statistics and Probability Letters. 2019 ; Vol. 155.

Bibtex - Download

@article{479aa924d6704ec58aa4b911f46fe129,
title = "Lp-solutions for stochastic Navier–Stokes equations with jump noise",
abstract = "We study the existence and uniqueness of solutions of 2D Stochastic Navier–Stokes equation with space irregular jump noise for initial data in certain Sobolev spaces of negative order. Comparing with the Galerkin approximation method, the main advantage of this work is to use an Lp-setting to obtain the solution under much weaker assumptions on the noise and the initial condition.",
keywords = "L-theory, Poisson random measure, Stochastic Navier–Stokes equation",
author = "Jiahui Zhu and Zdzislaw Brzezniak and Wei Liu",
year = "2019",
month = dec,
day = "1",
doi = "10.1016/j.spl.2019.108563",
language = "English",
volume = "155",
journal = "Statistics & Probability Letters",
issn = "0167-7152",
publisher = "Elsevier",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Lp-solutions for stochastic Navier–Stokes equations with jump noise

AU - Zhu, Jiahui

AU - Brzezniak, Zdzislaw

AU - Liu, Wei

PY - 2019/12/1

Y1 - 2019/12/1

N2 - We study the existence and uniqueness of solutions of 2D Stochastic Navier–Stokes equation with space irregular jump noise for initial data in certain Sobolev spaces of negative order. Comparing with the Galerkin approximation method, the main advantage of this work is to use an Lp-setting to obtain the solution under much weaker assumptions on the noise and the initial condition.

AB - We study the existence and uniqueness of solutions of 2D Stochastic Navier–Stokes equation with space irregular jump noise for initial data in certain Sobolev spaces of negative order. Comparing with the Galerkin approximation method, the main advantage of this work is to use an Lp-setting to obtain the solution under much weaker assumptions on the noise and the initial condition.

KW - L-theory

KW - Poisson random measure

KW - Stochastic Navier–Stokes equation

UR - http://www.scopus.com/inward/record.url?scp=85070329382&partnerID=8YFLogxK

U2 - 10.1016/j.spl.2019.108563

DO - 10.1016/j.spl.2019.108563

M3 - Article

AN - SCOPUS:85070329382

VL - 155

JO - Statistics & Probability Letters

JF - Statistics & Probability Letters

SN - 0167-7152

M1 - 108563

ER -