The initial value problem for the navier-stokes equations with a free surface
From MaRDI portal
Publication:3916233
DOI10.1002/cpa.3160340305zbMath0464.76028OpenAlexW2036955271MaRDI QIDQ3916233
Publication date: 1981
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.3160340305
Related Items
Global regularity of 2D Navier-Stokes free boundary with small viscosity contrast, A stabilized local RBF collocation method for incompressible Navier-Stokes equations, Traveling wave solutions to the inclined or periodic free boundary incompressible Navier-Stokes equations, Incompressible limit for the free surface Navier-Stokes system, On the global wellposedness of free boundary problem for the Navier-Stokes system with surface tension, Splash singularity for the free boundary incompressible viscous MHD, Global existence and asymptotic stability of the free boundary problem of the primitive equations with heat insulation, Well-posedness of mean field games master equations involving non-separable local Hamiltonians, Global solutions to the free boundary value problem of a chemotaxis-Navier–Stokes system, Well-posedness of the free surface problem on a Newtonian fluid between cylinders rotating at different speeds, Uniform Estimate of Viscous Free-Boundary Magnetohydrodynamics with Zero Vacuum Magnetic Field, The compressible viscous surface-internal wave problem: stability and vanishing surface tension limit, The steady Navier-Stokes equations with mixed boundary conditions: application to free boundary flows, On the existence for the free interface 2D Euler equation with a localized vorticity condition, Decay of the 2D periodic stationary viscous surface waves, Asymptotic stability of shear-flow solutions to incompressible viscous free boundary problems with and without surface tension, Global well-posedness of the free-surface incompressible Euler equations with damping, The transient lubrication problem as a generalized Hele-Shaw type problem, Local-in-time existence of a free-surface 3D Euler flow with H 2+δ initial vorticity in a neighborhood of the free boundary, Unsteady motion of a finite mass of fluid, bounded by a free surface, Large-time existence of surface waves in incompressible viscous fluids with or without surface tension, The Compressible Viscous Surface-Internal Wave Problem: Local Well-Posedness, Small-time existence for the Navier-Stokes equations with a free surface, On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain, Un problème de Navier-Stokes avec surface libre et tension superficielle, Well-posedness of surface wave equations above a viscoelastic fluid, Unnamed Item, Small-time existence for the three-dimensional Navier-Stokes equations for an incompressible fluid with a free surface, Analyticity of the interface in a free boundary problem, Self-similar decay of spatially localized perturbations of the Nusselt solution for the inclined film problem, Global solvability of the Navier-Stokes equations with a free surface in the maximal \(L_{p}-L_{q}\) regularity class, Exponential decay of Bénard convection problem with surface tension, A Navier-Stokes problem with free boundary, Decay of solutions to the initial boundary value problem of the Stokes system in the halfspace, A fluid-structure model coupling the Navier-Stokes equations and the Lamé system, Optimal control of eutrophication processes in a moving domain, Stability of the viscoelastic Rayleigh-Bénard problem with an upper free boundary, On the local existence of the free-surface Euler equation with surface tension, Traveling Wave Solutions to the Free Boundary Incompressible Navier‐Stokes Equations, Splash singularities for a 2D Oldroyd-B model with nonlinear Piola-Kirchhoff stress, Almost exponential decay of periodic viscous surface waves without surface tension, Decay of solutions to the linearized free surface Navier-Stokes equations with fractional boundary operators, On the maximal \(L_{p}\)-\(L_{q}\) regularity of the Stokes problem with first order boundary condition; model problems, Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems, Decay rates for the viscous incompressible MHD equations with and without surface tension, The Stokes resolvent problem: optimal pressure estimates and remarks on resolvent estimates in convex domains, Global solvability of a free boundary three-dimensional incompressible viscoelastic fluid system with surface tension, Uniform regularity for free-boundary Navier–Stokes equations with surface tension, On a linearized problem arising in the Navier-Stokes flow of a free liquid jet, Sharp nonlinear stability criterion of viscous non-resistive MHD internal waves in 3D, Global well-posedness of unsteady motion of viscous incompressible capillary liquid bounded by a free surface, On the splash singularity for the free-surface of a Navier-Stokes fluid, On a linearized system arising in the study of viscous surface flow down an inclined plane, \(L_p\)-theory of the problem of motion of two incompressible capillary fluids in a container, The viscous surface-internal wave problem: global well-posedness and decay, The nonlinear stability regime of the viscous Faraday wave problem, Applications of operator-splitting methods to the direct numerical simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monte-Ampère equation, ℛ $${\mathcal R}$$ Boundedness, Maximal Regularity and Free Boundary Problems for the Navier Stokes Equations, Unnamed Item, Some Free Boundary Problem for Two-Phase Inhomogeneous Incompressible Flows, Vanishing Viscosity and Surface Tension Limits of Incompressible Viscous Surface Waves, On varifold solutions of two-phase incompressible viscous flow with surface tension, The Viscous Surface-Internal Wave Problem: Nonlinear Rayleigh–Taylor Instability, Uniform regularity and vanishing viscosity limit for the free surface Navier-Stokes equations, On the local existence and uniqueness for the 3D Euler equation with a free interface, Non-homogeneous Navier-Stokes systems with order-parameter-dependent stresses, Anisotropic decay and global well-posedness of viscous surface waves without surface tension, Optimal Korn's inequalities for divergence-free vector fields with application to incompressible linear elastodynamics, Low regularity well-posedness for the viscous surface wave equation, Free boundary problem for a layer of inhomogeneous fluid, Global existence and exponential stability for the compressible Navier-Stokes equations with discontinuous data, Zero surface tension limit of viscous surface waves, On the free boundary problem to the two viscous immiscible fluids, ON THE NONLINEAR STABILITY OF MARANGONI–BÉNARD PROBLEM WITH FREE SURFACE IN THE BOUSSINESQ APPROXIMATION, Splash singularities for the free boundary Navier-Stokes equations, Splash singularity for a free-boundary incompressible viscoelastic fluid model, Numerical simulation of two-phase free surface flows, Large time existence of small viscous surface waves without surface tension, Global regularity of 2D density patches for inhomogeneous Navier-Stokes, Lagrangian approach to global well-posedness of the viscous surface wave equations without surface tension, The Viscous Surface Wave Problem with Generalized Surface Energies, A regularity result for the incompressible Euler equation with a free interface, Splash singularities for a general Oldroyd model with finite Weissenberg number, The linearization principle for a free boundary problem for viscous, capillary incompressible fluids, Global well-posedness of free interface problems for the incompressible inviscid resistive MHD, Unnamed Item, Weak-strong uniqueness for the Navier-Stokes equation for two fluids with surface tension, On the free boundary problem for stationary compressible Navier-Stokes equations, Maximal \(L^1\)-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space, Almost exponential decay of the Boussinesq equations without surface tension on the upper free boundary, Global existence of two phase nonhomogeneous viscous incompbessible fluid flow, Controllability of One-Dimensional Viscous Free Boundary Flows, Feedback stabilization of a 3D fluid flow by shape deformations of an obstacle, Compressible viscous heat-conducting surface wave without surface tension, Numerical Solution of the Viscous Surface Wave with Discontinuous Galerkin Method, Well-posedness of the surface wave problem for two dimensional micropolar fluids, On the existence of hydrodynamic motion in a domain with free boundary type conditions, Existence for an Unsteady Fluid-Structure Interaction Problem, Local existence theorems for the first and second initial-boundary value problems for a weakly non-Newtonian fluid, On the ‐boundedness of solution operator families of the generalized Stokes resolvent problem in an infinite layer, Large-time regularity of viscous surface waves, Lagrangian approach to global well-posedness of viscous incompressible MHD equations, Traveling Wave Solutions to the Multilayer Free Boundary Incompressible Navier--Stokes Equations, On some free boundary problem of the Navier-Stokes equations in the maximal \(L_p - L_q\) regularity class, Inviscid limit for free-surface Navier-Stokes equations, Local well-posedness of free surface problems for the Navier-Stokes equations in a general domain
Cites Work
