Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations

Angel Castro; Diego Córdoba; Javier Gómez-Serrano

doi:10.1215/00127094-3449673

Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations

Angel Castro
, Diego Córdoba
, Javier Gómez-Serrano

Mathematics

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

69 Scopus citations

Abstract

Motivated by the recent work of Hassainia and Hmidi, we close the question of the existence of convex global rotating solutions for the generalized surface quasigeostrophic equation for α ε [1, 2]. We also show C^∞-regularity of their boundary for all α ε (0, 2).

Original language	English (US)
Pages (from-to)	935-984
Number of pages	50
Journal	Duke Mathematical Journal
Volume	165
Issue number	5
DOIs	https://doi.org/10.1215/00127094-3449673
State	Published - Apr 1 2016

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1215/00127094-3449673

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title = "Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations",

abstract = "Motivated by the recent work of Hassainia and Hmidi, we close the question of the existence of convex global rotating solutions for the generalized surface quasigeostrophic equation for α ε [1, 2]. We also show C∞-regularity of their boundary for all α ε (0, 2).",

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AU - Castro, Angel

AU - Córdoba, Diego

AU - Gómez-Serrano, Javier

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Y1 - 2016/4/1

N2 - Motivated by the recent work of Hassainia and Hmidi, we close the question of the existence of convex global rotating solutions for the generalized surface quasigeostrophic equation for α ε [1, 2]. We also show C∞-regularity of their boundary for all α ε (0, 2).

AB - Motivated by the recent work of Hassainia and Hmidi, we close the question of the existence of convex global rotating solutions for the generalized surface quasigeostrophic equation for α ε [1, 2]. We also show C∞-regularity of their boundary for all α ε (0, 2).

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UR - https://www.scopus.com/pages/publications/84963877240#tab=citedBy

U2 - 10.1215/00127094-3449673

DO - 10.1215/00127094-3449673

M3 - Article

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EP - 984

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 5

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Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations

Abstract

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