Energy-minimising parallel flows with prescribed vorticity distribution

DOI10.3934/dcds.2014.34.3193zbMath1292.76023OpenAlexW2320444397MaRDI QIDQ2438717

John F. Toland

Publication date: 6 March 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.3193

zbMATH Keywords

parallel flowsenergy-minimizerswater waves with vorticity

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Traveling wave solutions (35C07)

Related Items (2)

Non-existence of global energy minimisers in Stokes waves problems ⋮ Introduction

Cites Work

• Unnamed Item
• Unnamed Item
• On the stability of travelling waves with vorticity obtained by minimization
• Steady periodic hydroelastic waves
• Mathematical theory of incompressible nonviscous fluids
• Global nonlinear stability for steady ideal fluid flow in bounded planar domains
• Sur la détermination rigoureuse des ondes permanentes périodiques d'ampleur finie
• Non-existence of global energy minimisers in Stokes waves problems
• Surface waves on steady perfect-fluid flows with vorticity
• Steady water waves
• Steady Free-Surface Vortical Flows Parallel to the Horizontal Bottom
• Stability properties of steady water waves with vorticity
• Exact steady periodic water waves with vorticity
• Steady periodic water waves under nonlinear elastic membranes

This page was built for publication: Energy-minimising parallel flows with prescribed vorticity distribution