Estimates Near the Boundary for Critical SQG

Peter Constantin; Mihaela Ignatova

doi:10.1007/s40818-020-00079-7

Estimates Near the Boundary for Critical SQG

Peter Constantin, Mihaela Ignatova

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

6 Scopus citations

Abstract

We obtain estimates near the boundary for the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We prove that global regularity up to the boundary holds if and only if a certain quantitative vanishing of the scalar at the boundary is maintained.

Original language	English (US)
Article number	3
Journal	Annals of PDE
Volume	6
Issue number	1
DOIs	https://doi.org/10.1007/s40818-020-00079-7
State	Published - Jun 1 2020

All Science Journal Classification (ASJC) codes

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

Keywords

Bounded domains
Estimates near the boundary
Global regularity
SQG

Access to Document

10.1007/s40818-020-00079-7

Cite this

@article{4c4ae5108d7c4e25aeca49cfe7a2524a,

title = "Estimates Near the Boundary for Critical SQG",

abstract = "We obtain estimates near the boundary for the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We prove that global regularity up to the boundary holds if and only if a certain quantitative vanishing of the scalar at the boundary is maintained.",

keywords = "Bounded domains, Estimates near the boundary, Global regularity, SQG",

author = "Peter Constantin and Mihaela Ignatova",

note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG.",

year = "2020",

month = jun,

day = "1",

doi = "10.1007/s40818-020-00079-7",

language = "English (US)",

volume = "6",

journal = "Annals of PDE",

issn = "2524-5317",

publisher = "Springer Science + Business Media",

number = "1",

}

TY - JOUR

T1 - Estimates Near the Boundary for Critical SQG

AU - Constantin, Peter

AU - Ignatova, Mihaela

PY - 2020/6/1

Y1 - 2020/6/1

N2 - We obtain estimates near the boundary for the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We prove that global regularity up to the boundary holds if and only if a certain quantitative vanishing of the scalar at the boundary is maintained.

AB - We obtain estimates near the boundary for the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We prove that global regularity up to the boundary holds if and only if a certain quantitative vanishing of the scalar at the boundary is maintained.

KW - Bounded domains

KW - Estimates near the boundary

KW - Global regularity

KW - SQG

UR - http://www.scopus.com/inward/record.url?scp=85090087507&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85090087507&partnerID=8YFLogxK

U2 - 10.1007/s40818-020-00079-7

DO - 10.1007/s40818-020-00079-7

M3 - Article

AN - SCOPUS:85090087507

SN - 2524-5317

VL - 6

JO - Annals of PDE

JF - Annals of PDE

IS - 1

M1 - 3

ER -

Estimates Near the Boundary for Critical SQG

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this