On the existence of stationary patches

Javier Gómez-Serrano

doi:10.1016/j.aim.2018.11.012

On the existence of stationary patches

Javier Gómez-Serrano

Mathematics

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

21 Scopus citations

Abstract

In this paper, we show the existence of the first nontrivial family of analytic stationary patch solutions of the SQG and gSQG equations. This answers an open problem in F. de la Hoz et al. (2016) [13].

Original language	English (US)
Pages (from-to)	110-140
Number of pages	31
Journal	Advances in Mathematics
Volume	343
DOIs	https://doi.org/10.1016/j.aim.2018.11.012
State	Published - Feb 5 2019

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Bifurcation theory
Incompressible
Patch
Stationary
Surface quasi-geostrophic

Access to Document

10.1016/j.aim.2018.11.012

Cite this

@article{ce63759afeee4f98b26b38be2692e4f6,

title = "On the existence of stationary patches",

abstract = "In this paper, we show the existence of the first nontrivial family of analytic stationary patch solutions of the SQG and gSQG equations. This answers an open problem in F. de la Hoz et al. (2016) [13].",

keywords = "Bifurcation theory, Incompressible, Patch, Stationary, Surface quasi-geostrophic",

author = "Javier G{\'o}mez-Serrano",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2019",

month = feb,

day = "5",

doi = "10.1016/j.aim.2018.11.012",

language = "English (US)",

volume = "343",

pages = "110--140",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - On the existence of stationary patches

AU - Gómez-Serrano, Javier

PY - 2019/2/5

Y1 - 2019/2/5

N2 - In this paper, we show the existence of the first nontrivial family of analytic stationary patch solutions of the SQG and gSQG equations. This answers an open problem in F. de la Hoz et al. (2016) [13].

AB - In this paper, we show the existence of the first nontrivial family of analytic stationary patch solutions of the SQG and gSQG equations. This answers an open problem in F. de la Hoz et al. (2016) [13].

KW - Bifurcation theory

KW - Incompressible

KW - Patch

KW - Stationary

KW - Surface quasi-geostrophic

UR - http://www.scopus.com/inward/record.url?scp=85057167912&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057167912&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2018.11.012

DO - 10.1016/j.aim.2018.11.012

M3 - Article

AN - SCOPUS:85057167912

SN - 0001-8708

VL - 343

SP - 110

EP - 140

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

On the existence of stationary patches

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this