Global regularity of 2D Navier-Stokes free boundary with small viscosity contrast
DOI10.4171/aihpc/74zbMath1525.35188arXiv2109.08764MaRDI QIDQ6075028
Eduardo García-Juárez, Francisco Gancedo
Publication date: 20 October 2023
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.08764
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Liquid-liquid two component flows (76T06)
Cites Work
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- On the global regularity of the two-dimensional density patch for inhomogeneous incompressible viscous flow
- Finite time singularity for the modified SQG patch equation
- Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity
- Decay estimates of global solution to 2D incompressible
- Optimal well-posedness for the inhomogeneous incompressible Navier-Stokes system with general viscosity
- Global regularity of 2D density patches for inhomogeneous Navier-Stokes
- Regularity results for two-dimensional flows of multiphase viscous fluids
- Global regularity for 2D Boussinesq temperature patches with no diffusion
- On the splash singularity for the free-surface of a Navier-Stokes fluid
- Global regularity for vortex patches
- Large-time existence of surface waves in incompressible viscous fluids with or without surface tension
- Almost exponential decay of periodic viscous surface waves without surface tension
- Incompressible flows with piecewise constant density
- On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equations
- Quantitative Hölder estimates for even singular integral operators on patches
- Striated regularity of 2-d inhomogeneous incompressible Navier-Stokes system with variable viscosity
- Splash singularities for the free boundary Navier-Stokes equations
- Global regularity of three-dimensional density patches for inhomogeneous incompressible viscous flow
- Decay of viscous surface waves without surface tension in horizontally infinite domains
- The viscous surface-internal wave problem: global well-posedness and decay
- The initial-value problem for the Navier-Stokes equations with a free surface in \(L^q\)-Sobolev spaces
- Global in time behavior of viscous surface waves: horizontally periodic motion
- Global Unique Solvability of Inhomogeneous Navier-Stokes Equations with Bounded Density
- A Lagrangian Approach for the Incompressible Navier-Stokes Equations with Variable Density
- Persistance de structures géométriques dans les fluides incompressibles bidimensionnels
- Large-Time Regularity of Viscous Surface Waves
- Some Free Boundary Problem for Two-Phase Inhomogeneous Incompressible Flows
- Large time existence of small viscous surface waves without surface tension
- Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
- The initial value problem for the navier-stokes equations with a free surface
- Global Regularity of 2D Density Patches for Viscous Inhomogeneous Incompressible Flow with General Density: Low Regularity Case
- The Incompressible Navier‐Stokes Equations in Vacuum
