Energy-minimising parallel flows with prescribed vorticity distribution

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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.

Original languageEnglish
Pages (from-to)3193-3210
Number of pages18
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume34
Issue number8
DOIs
Publication statusPublished - 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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