On a Variational Approach for Water Waves

DOI10.1080/03605302.2012.661819zbMath1244.49007OpenAlexW2018122346MaRDI QIDQ2904526

D. Arama, Giovanni Leoni

Publication date: 14 August 2012

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2012.661819

zbMATH Keywords

variational methodwater waves.regularity of local and global minimizers

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Regularity of solutions in optimal control (49N60) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

On the existence of non-flat profiles for a Bernoulli free boundary problem ⋮ The steady incompressible jet flows issuing from a finitely long nozzle ⋮ On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions ⋮ One-phase free-boundary problems with degeneracy ⋮ Two‐dimensional stationary fluids with gravity and nonflat bottom

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A geometric approach to generalized Stokes conjectures
• A second order minimality condition for the Mumford-Shah functional
• The Benjamin-Lighthill conjecture for near-critical values of Bernoulli's constant
• Rearrangements and convexity of level sets in PDE
• On the Stokes conjecture for the wave of extreme form
• Convexity of Stokes waves of extreme form
• Surface waves on steady perfect-fluid flows with vorticity
• Bernoulli free-boundary problems in strip-like domains and a property of permanent waves on water of finite depth
• On periodic water-waves and their convergence to solitary waves in the long-wave limit
• On the existence of a wave of greatest height and Stokes’s conjecture
• On the existence theory for irrotational water waves
• The Stokes and Krasovskii Conjectures for the Wave of Greatest Height
• Global energy minimizers for free boundary problems and full regularity in three dimensions
• A Proof of the Stokes Conjecture in the Theory of Surface Waves*
• Local calibrations for minimizers of the Mumford-Shah functional with a regular discontinuity set.

This page was built for publication: On a Variational Approach for Water Waves