Critical SQG in Bounded Domains

Peter Constantin; Mihaela Ignatova

doi:10.1007/s40818-016-0017-1

Critical SQG in Bounded Domains

Peter Constantin, Mihaela Ignatova

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

35 Scopus citations

Abstract

We consider the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We prove global a priori interior C^α and Lipschitz bounds for large data.

Original language	English (US)
Article number	8
Journal	Annals of PDE
Volume	2
Issue number	2
DOIs	https://doi.org/10.1007/s40818-016-0017-1
State	Published - Dec 1 2016

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics
Geometry and Topology
Mathematical Physics
General Physics and Astronomy

Keywords

Bounded domains
Global regularity
Nonlinear maximum principle
SQG

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10.1007/s40818-016-0017-1

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title = "Critical SQG in Bounded Domains",

abstract = "We consider the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We prove global a priori interior Cα and Lipschitz bounds for large data.",

keywords = "Bounded domains, Global regularity, Nonlinear maximum principle, SQG",

author = "Peter Constantin and Mihaela Ignatova",

note = "Publisher Copyright: {\textcopyright} 2016, Springer International Publishing AG.",

year = "2016",

month = dec,

day = "1",

doi = "10.1007/s40818-016-0017-1",

language = "English (US)",

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T1 - Critical SQG in Bounded Domains

AU - Constantin, Peter

AU - Ignatova, Mihaela

PY - 2016/12/1

Y1 - 2016/12/1

N2 - We consider the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We prove global a priori interior Cα and Lipschitz bounds for large data.

AB - We consider the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We prove global a priori interior Cα and Lipschitz bounds for large data.

KW - Bounded domains

KW - Global regularity

KW - Nonlinear maximum principle

KW - SQG

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JO - Annals of PDE

JF - Annals of PDE

IS - 2

M1 - 8

ER -

Critical SQG in Bounded Domains

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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