Inviscid limit for SQG in bounded domains

Peter Constantin; Mihaela Ignatova; Huy Q. Nguyen

doi:10.1137/18M1192743

Inviscid limit for SQG in bounded domains

Peter Constantin
, Mihaela Ignatova
, Huy Q. Nguyen

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

13 Scopus citations

Abstract

We prove that the limit of any weakly convergent sequence of Leray-Hopf solutions of dissipative SQG equations is a weak solution of the inviscid SQG equation in bounded domains.

Original language	English (US)
Pages (from-to)	6196-6207
Number of pages	12
Journal	SIAM Journal on Mathematical Analysis
Volume	50
Issue number	6
DOIs	https://doi.org/10.1137/18M1192743
State	Published - 2018

All Science Journal Classification (ASJC) codes

Analysis
Computational Mathematics
Applied Mathematics

Keywords

Inviscid limit
Leray-Hopf
SQG
Weak solution

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10.1137/18M1192743

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@article{f98eca032516422887e27eca9f8fdb76,

title = "Inviscid limit for SQG in bounded domains",

abstract = "We prove that the limit of any weakly convergent sequence of Leray-Hopf solutions of dissipative SQG equations is a weak solution of the inviscid SQG equation in bounded domains.",

keywords = "Inviscid limit, Leray-Hopf, SQG, Weak solution",

author = "Peter Constantin and Mihaela Ignatova and Nguyen, \{Huy Q.\}",

note = "Publisher Copyright: {\textcopyright} 2018 Society for Industrial and Applied Mathematics.",

year = "2018",

doi = "10.1137/18M1192743",

language = "English (US)",

volume = "50",

pages = "6196--6207",

journal = "SIAM Journal on Mathematical Analysis",

issn = "0036-1410",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "6",

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TY - JOUR

T1 - Inviscid limit for SQG in bounded domains

AU - Constantin, Peter

AU - Ignatova, Mihaela

AU - Nguyen, Huy Q.

PY - 2018

Y1 - 2018

N2 - We prove that the limit of any weakly convergent sequence of Leray-Hopf solutions of dissipative SQG equations is a weak solution of the inviscid SQG equation in bounded domains.

AB - We prove that the limit of any weakly convergent sequence of Leray-Hopf solutions of dissipative SQG equations is a weak solution of the inviscid SQG equation in bounded domains.

KW - Inviscid limit

KW - Leray-Hopf

KW - SQG

KW - Weak solution

UR - https://www.scopus.com/pages/publications/85060554324

UR - https://www.scopus.com/pages/publications/85060554324#tab=citedBy

U2 - 10.1137/18M1192743

DO - 10.1137/18M1192743

M3 - Article

AN - SCOPUS:85060554324

SN - 0036-1410

VL - 50

SP - 6196

EP - 6207

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 6

ER -

Inviscid limit for SQG in bounded domains

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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