Capillarity-driven Stokes flow: the one-phase problem as small viscosity limit
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Publication:6056601
DOI10.1007/s00033-023-02101-xarXiv2209.13376OpenAlexW4387408610MaRDI QIDQ6056601
Bogdan-Vasile Matioc, Georg Prokert
Publication date: 30 October 2023
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.13376
Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Capillarity (surface tension) for incompressible viscous fluids (76D45)
Cites Work
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- Existence results for the quasistationary motion of a free capillary liquid drop
- The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results
- Sedimentation of inertialess particles in Stokes flows
- A survey for the Muskat problem and a new estimate
- The Dirichlet problem for the Stokes system on Lipschitz domains
- Quasi-static motion of a capillary drop. II: The three-dimensional case.
- Analyticity of the interface in a free boundary problem
- On the justification of the quasistationary approximation in the problem of motion of a viscous capillary drop
- Well-posedness of the Stokes-transport system in bounded domains and in the infinite strip
- The multiphase Muskat problem with equal viscosities in two dimensions
- Two-phase Stokes flow by capillarity in the plane: the case of different viscosities
- Sedimentation of particles in Stokes flow
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- Nonlinear analytic semiflows
- Two-phase Stokes flow by capillarity in full 2D space: an approach via hydrodynamic potentials
- Capillary driven evolution of an interface between viscous fluids
- Viscous displacement in porous media: the Muskat problem in 2D
- Growth in the Muskat problem
- Well-posedness of the Muskat problem in subcritical Lp-Sobolev spaces
- Analytic semigroups and optimal regularity in parabolic problems
- Quasi-static motion of a capillary drop. I: The two-dimensional case
- On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension
- Dynamics of density patches in infinite Prandtl number convection