Steady periodic hydroelastic waves
From MaRDI portal
Publication:948919
DOI10.1007/s00205-007-0104-2zbMath1147.76008OpenAlexW2090697619MaRDI QIDQ948919
Publication date: 16 October 2008
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-007-0104-2
PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Shells (74K25) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Related Items
Three-dimensional waves under ice computed with novel preconditioning methods ⋮ New exact relations for steady irrotational two-dimensional gravity and capillary surface waves ⋮ On the stability of travelling waves with vorticity obtained by minimization ⋮ Energy estimates and local well-posedness of 3D interfacial hydroelastic waves between two incompressible fluids ⋮ Hydroelastic solitary waves with constant vorticity ⋮ Strain-gradient theory of hydroelastic travelling waves and Young measures of their singular limits ⋮ Energy-minimising parallel flows with prescribed vorticity distribution ⋮ Non-existence of global energy minimisers in Stokes waves problems ⋮ Steady periodic water waves under nonlinear elastic membranes ⋮ Surface waves on steady perfect-fluid flows with vorticity ⋮ Well-posedness of two-dimensional hydroelastic waves with mass ⋮ Periodic traveling interfacial hydroelastic waves with or without mass ⋮ Variational problems in the theory of hydroelastic waves ⋮ Solitary flexural–gravity waves in three dimensions ⋮ Periodic travelling interfacial hydroelastic waves with or without mass II: Multiple bifurcations and ripples ⋮ New hydroelastic solitary waves in deep water and their dynamics ⋮ Stability of periodic traveling flexural‐gravity waves in two dimensions ⋮ The mathematical challenges and modelling of hydroelasticity ⋮ Modelling nonlinear hydroelastic waves
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Intermediate Schauder estimates
- Equilibrium of bars
- Three-dimensional solitary waves in the presence of additional surface effects
- Neutral stability of, and resonances in, a vertically stratified floating ice layer.
- Surface water waves as saddle points of the energy
- The regularity and local bifurcation of steady periodic water waves
- Theories of elasticity with couple-stress
- Uni-modal destabilization of a viscoelastic floating ice layer by wind stress
- HOPF SOLUTIONS TO A FLUID-ELASTIC INTERACTION MODEL
- Minimization Methods for Quasi-Linear Problems with an Application to Periodic Water Waves
- Steady periodic water waves under nonlinear elastic membranes
- Heavy hydroelastic travelling waves
- Nonlinear problems of elasticity
