A free boundary approach to two-dimensional steady capillary gravity water waves
From MaRDI portal
Publication:715370
DOI10.1007/s00205-011-0466-3zbMath1312.76010OpenAlexW2025864377WikidataQ60562203 ScholiaQ60562203MaRDI QIDQ715370
Georg Sebastian Weiss, Guang-Hui Zhang
Publication date: 5 November 2012
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-011-0466-3
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)
Related Items
On the existence of non-flat profiles for a Bernoulli free boundary problem ⋮ A free boundary approach to the Rosensweig instability of ferrofluids ⋮ Singularities in axisymmetric free boundaries for electrohydrodynamic equations ⋮ On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions ⋮ Bernoulli type free boundary problems and water waves ⋮ A geometric approach to generalized Stokes conjectures ⋮ Capillary-gravity water waves with discontinuous vorticity: existence and regularity results
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A geometric approach to generalized Stokes conjectures
- Equilibrium configurations of epitaxially strained elastic films: second-order minimality conditions and qualitative properties of solutions
- Small-amplitude Stokes and solitary gravity water waves with an arbitrary distribution of vorticity
- A theory of solitary water-waves in the presence of surface tension
- On the Stokes conjecture for the wave of extreme form
- The regularity and local bifurcation of steady periodic water waves
- Elliptic partial differential equations of second order
- Existence and conditional energetic stability of capillary-gravity solitary water waves by minimisation
- On the regularity of edges in image segmentation
- The Stokes conjecture for waves with vorticity
- Equilibrium configurations of epitaxially strained crystalline films: Existence and regularity results
- Fully localised solitary-wave solutions of the three-dimensional gravity -- capillary water-wave problem
- An area-Dirichlet integral minimization problem
- On the regularity of the Neumann problem for free surfaces with surface tension
- Spatial Dynamics Methods for Solitary Gravity-Capillary Water Waves with an Arbitrary Distribution of Vorticity
- The bifurcation and secondary bifurcation of capillary-gravity waves
- Gravity-capillary solitary waves in water of infinite depth and related free-surface flows
- A Free-Boundary Problem for the Heat Equation Arising in Flame Propagation
- Exact steady periodic water waves with vorticity
- Traveling Two and Three Dimensional Capillary Gravity Water Waves
- On rotational water waves with surface tension
- Minimization Methods for Quasi-Linear Problems with an Application to Periodic Water Waves
- On optimal regularity of free boundary problems and a conjecture of De Giorgi
