Symmetry of free-surface flows

DOI10.1007/BF00375690zbMath0765.76015OpenAlexW1992428202MaRDI QIDQ1188032

Peter Sternberg, Walter Craig

Publication date: 3 August 1992

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00375690

zbMATH Keywords

monotonicityasymptotic behaviorpositivityhydrofoilsteady wavesexponential decay of the solutionsimmiscible fluids of different densitywave levation

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Reaction effects in flows (76V05) Ship waves (76B20)

Related Items (8)

Center manifolds in equations from hydrodynamics ⋮ On reduced models for gravity waves generated by moving bodies ⋮ Symmetry of steady periodic gravity water waves with vorticity ⋮ Nonexistence of subcritical solitary waves ⋮ Symmetry of internal waves ⋮ A complex-analytic approach to kinetic energy properties of irrotational flows ⋮ Solutions of Semilinear Elliptic Equations in with Conical&Shaped Level Sets ⋮ Velocity field and pressure analysis of equatorial flows beneath solitary water waves

Cites Work

• Unnamed Item
• Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
• Symmetry and related properties via the maximum principle
• Finite-amplitude steady waves in stratified fluids
• The existence of internal solitary waves in a two-fluid system near the KdV limit
• Overhanging interfacial gravity waves of large amplitude
• A Global Theory of Internal Solitary Waves in Two-Fluid Systems
• Free-surface flow over an obstruction in a channel
• Symmetry of solitary waves
• Surfing on solitary waves
• Internal waves of finite amplitude and permanent form
• Properties of solutions of ordinary differential equations in banach space
• A Note on Harmonic Functions and a Hydrodynamical Application
• The existence of solitary waves

This page was built for publication: Symmetry of free-surface flows