Uniformly Rotating Smooth Solutions for the Incompressible 2D Euler Equations

Angel Castro; Diego Córdoba; Javier Gómez-Serrano

doi:10.1007/s00205-018-1288-3

Uniformly Rotating Smooth Solutions for the Incompressible 2D Euler Equations

Angel Castro
, Diego Córdoba
, Javier Gómez-Serrano

Mathematics

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

38 Scopus citations

Abstract

In this paper, we show the existence of a family of compactly supported smooth vorticities, which are solutions of the 2D incompressible Euler equation and rotate uniformly in time and space.

Original language	English (US)
Pages (from-to)	719-785
Number of pages	67
Journal	Archive for Rational Mechanics and Analysis
Volume	231
Issue number	2
DOIs	https://doi.org/10.1007/s00205-018-1288-3
State	Published - Feb 7 2019

All Science Journal Classification (ASJC) codes

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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10.1007/s00205-018-1288-3

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title = "Uniformly Rotating Smooth Solutions for the Incompressible 2D Euler Equations",

abstract = "In this paper, we show the existence of a family of compactly supported smooth vorticities, which are solutions of the 2D incompressible Euler equation and rotate uniformly in time and space.",

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AB - In this paper, we show the existence of a family of compactly supported smooth vorticities, which are solutions of the 2D incompressible Euler equation and rotate uniformly in time and space.

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Uniformly Rotating Smooth Solutions for the Incompressible 2D Euler Equations

Abstract

All Science Journal Classification (ASJC) codes

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