Energy-minimising parallel flows with prescribed vorticity distribution

J. F. Toland

doi:10.3934/dcds.2014.34.3193

Energy-minimising parallel flows with prescribed vorticity distribution

J. F. Toland

Department of Mathematical Sciences

University of Cambridge

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

1 Citation (SciVal)

Abstract

This note concerns a nonlinear differential equation problem in which both the nonlinearity in the equation and its solution are determined by other constraints. The question under consideration arises from a study of two-dimensional steady parallel-flows of a perfect fluid governed by Euler's equations and a free-boundary condition, when the distribution of vorticity is arbitrary but prescribed.

Original language	English
Pages (from-to)	3193-3210
Number of pages	18
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	34
Issue number	8
DOIs	https://doi.org/10.3934/dcds.2014.34.3193
Publication status	Published - Aug 2014

Keywords

Energy-minimizers
Parallel flows
Water waves with vorticity

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2014.34.3193

Cite this

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abstract = "This note concerns a nonlinear differential equation problem in which both the nonlinearity in the equation and its solution are determined by other constraints. The question under consideration arises from a study of two-dimensional steady parallel-flows of a perfect fluid governed by Euler's equations and a free-boundary condition, when the distribution of vorticity is arbitrary but prescribed.",

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AB - This note concerns a nonlinear differential equation problem in which both the nonlinearity in the equation and its solution are determined by other constraints. The question under consideration arises from a study of two-dimensional steady parallel-flows of a perfect fluid governed by Euler's equations and a free-boundary condition, when the distribution of vorticity is arbitrary but prescribed.

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Energy-minimising parallel flows with prescribed vorticity distribution

Abstract

Keywords

ASJC Scopus subject areas

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