Remarks on geometric properties of SQG sharp fronts and α-patches

Angel Castro; Diego Córdoba; Javier Gómez-Serrano; Alberto Martín Zamora

doi:10.3934/dcds.2014.34.5045

Remarks on geometric properties of SQG sharp fronts and α-patches

Angel Castro, Diego Córdoba, Javier Gómez-Serrano, Alberto Martín Zamora

Mathematics

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

11 Scopus citations

Abstract

Guided by numerical simulations, we present the proof of two results concerning the behaviour of SQG sharp fronts and α-patches. We establish that ellipses are not rotational solutions and we prove that initially convex interfaces may lose this property in finite time.

Original language	English (US)
Pages (from-to)	5045-5059
Number of pages	15
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	34
Issue number	12
DOIs	https://doi.org/10.3934/dcds.2014.34.5045
State	Published - Dec 2014

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Keywords

Computer-assisted
Contour dynamics
Incompressible flow
Patches
Surface quasigeostrophic

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Cite this

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abstract = "Guided by numerical simulations, we present the proof of two results concerning the behaviour of SQG sharp fronts and α-patches. We establish that ellipses are not rotational solutions and we prove that initially convex interfaces may lose this property in finite time.",

keywords = "Computer-assisted, Contour dynamics, Incompressible flow, Patches, Surface quasigeostrophic",

author = "Angel Castro and Diego C{\'o}rdoba and Javier G{\'o}mez-Serrano and Zamora, {Alberto Mart{\'i}n}",

year = "2014",

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AU - Castro, Angel

AU - Córdoba, Diego

AU - Gómez-Serrano, Javier

AU - Zamora, Alberto Martín

PY - 2014/12

Y1 - 2014/12

N2 - Guided by numerical simulations, we present the proof of two results concerning the behaviour of SQG sharp fronts and α-patches. We establish that ellipses are not rotational solutions and we prove that initially convex interfaces may lose this property in finite time.

AB - Guided by numerical simulations, we present the proof of two results concerning the behaviour of SQG sharp fronts and α-patches. We establish that ellipses are not rotational solutions and we prove that initially convex interfaces may lose this property in finite time.

KW - Computer-assisted

KW - Contour dynamics

KW - Incompressible flow

KW - Patches

KW - Surface quasigeostrophic

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Remarks on geometric properties of SQG sharp fronts and α-patches

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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