Local and global strong solutions for SQG in bounded domains

Peter Constantin; Huy Quang Nguyen

doi:10.1016/j.physd.2017.08.008

Local and global strong solutions for SQG in bounded domains

Peter Constantin, Huy Quang Nguyen

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

24 Scopus citations

Abstract

We prove local well-posedness for the inviscid surface quasigeostrophic (SQG) equation in bounded domains of R². When fractional Dirichlet Laplacian dissipation is added, global existence of strong solutions is obtained for small data for critical and supercritical cases. Global existence of strong solutions with arbitrary data is obtained in the subcritical cases.

Original language	English (US)
Pages (from-to)	195-203
Number of pages	9
Journal	Physica D: Nonlinear Phenomena
Volume	376-377
DOIs	https://doi.org/10.1016/j.physd.2017.08.008
State	Published - Aug 1 2018

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

Keywords

Bounded domains
Global strong solutions
Local well-posedness
SQG

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10.1016/j.physd.2017.08.008

Cite this

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title = "Local and global strong solutions for SQG in bounded domains",

abstract = "We prove local well-posedness for the inviscid surface quasigeostrophic (SQG) equation in bounded domains of R2. When fractional Dirichlet Laplacian dissipation is added, global existence of strong solutions is obtained for small data for critical and supercritical cases. Global existence of strong solutions with arbitrary data is obtained in the subcritical cases.",

keywords = "Bounded domains, Global strong solutions, Local well-posedness, SQG",

author = "Peter Constantin and Nguyen, {Huy Quang}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

year = "2018",

month = aug,

day = "1",

doi = "10.1016/j.physd.2017.08.008",

language = "English (US)",

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T1 - Local and global strong solutions for SQG in bounded domains

AU - Constantin, Peter

AU - Nguyen, Huy Quang

PY - 2018/8/1

Y1 - 2018/8/1

N2 - We prove local well-posedness for the inviscid surface quasigeostrophic (SQG) equation in bounded domains of R2. When fractional Dirichlet Laplacian dissipation is added, global existence of strong solutions is obtained for small data for critical and supercritical cases. Global existence of strong solutions with arbitrary data is obtained in the subcritical cases.

AB - We prove local well-posedness for the inviscid surface quasigeostrophic (SQG) equation in bounded domains of R2. When fractional Dirichlet Laplacian dissipation is added, global existence of strong solutions is obtained for small data for critical and supercritical cases. Global existence of strong solutions with arbitrary data is obtained in the subcritical cases.

KW - Bounded domains

KW - Global strong solutions

KW - Local well-posedness

KW - SQG

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U2 - 10.1016/j.physd.2017.08.008

DO - 10.1016/j.physd.2017.08.008

M3 - Article

AN - SCOPUS:85029635363

SN - 0167-2789

VL - 376-377

SP - 195

EP - 203

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

ER -

Local and global strong solutions for SQG in bounded domains

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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