Almost exponential decay of periodic viscous surface waves without surface tension
From MaRDI portal
Publication:1944699
DOI10.1007/s00205-012-0570-zzbMath1320.35259OpenAlexW2010423226MaRDI QIDQ1944699
Publication date: 27 March 2013
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-012-0570-z
Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Interfacial stability and instability in hydrodynamic stability (76E17) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35)
Related Items
About linear stability for multiple gas balls ⋮ Well-posedness of the free surface problem on a Newtonian fluid between cylinders rotating at different speeds ⋮ On the stability of Rayleigh-Taylor problem for stratified rotating viscoelastic fluids ⋮ The compressible viscous surface-internal wave problem: stability and vanishing surface tension limit ⋮ The compressible viscous surface-internal wave problem: nonlinear Rayleigh-Taylor instability ⋮ Compressible viscous flows in a symmetric domain with complete slip boundary: the nonlinear stability of uniformly rotating states with small angular velocities ⋮ 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 ⋮ Instability solutions for the Rayleigh-Taylor problem of non-homogeneous viscoelastic fluids in bounded domains ⋮ The Compressible Viscous Surface-Internal Wave Problem: Local Well-Posedness ⋮ Global existence and decay rates of solutions to the viscous water-waves system ⋮ Global well-posedness and time-decay for the full compressible non-resistive MHD equations in a 3D infinite slab ⋮ Exponential decay of Bénard convection problem with surface tension ⋮ Global Solutions of the Three-Dimensional Incompressible Ideal MHD Equations with Velocity Damping in Horizontally Periodic Domains ⋮ Stability of the viscoelastic Rayleigh-Bénard problem with an upper free boundary ⋮ Global well‐posedness for the three‐dimensional incompressible viscous nonresistive magnetohydrodynamics equations in an infinite slab ⋮ Traveling Wave Solutions to the Free Boundary Incompressible Navier‐Stokes Equations ⋮ Global regularity of 2D Navier-Stokes free boundary with small viscosity contrast ⋮ On magnetic inhibition theory in 3D non-resistive magnetohydrodynamic fluids: global existence of large solutions ⋮ Dynamics and stability of surface waves with bulk-soluble surfactants ⋮ Traveling wave solutions to the inclined or periodic free boundary incompressible Navier-Stokes equations ⋮ On inhibition of thermal convection instability by a magnetic field under zero resistivity ⋮ Decay of solutions to the linearized free surface Navier-Stokes equations with fractional boundary operators ⋮ On the Rayleigh-Taylor instability in compressible viscoelastic fluids under \(L^1\)-norm ⋮ On the Stabilizing Effect of the Magnetic Fields in the Magnetic Rayleigh--Taylor Problem ⋮ Anisotropic micropolar fluids subject to a uniform microtorque: the stable case ⋮ Stability of contact lines in fluids: 2D Stokes flow ⋮ Global Well-Posedness of an Initial-Boundary Value Problem for Viscous Non-Resistive MHD Systems ⋮ Decay rates for the viscous incompressible MHD equations with and without surface tension ⋮ Stability of the viscoelastic Rayleigh-Taylor problem with internal surface tension ⋮ Sharp nonlinear stability criterion of viscous non-resistive MHD internal waves in 3D ⋮ On the dynamical stability and instability of parker problem ⋮ On the splash singularity for the free-surface of a Navier-Stokes fluid ⋮ On the Rayleigh-Taylor instability for two uniform viscous incompressible flows ⋮ The viscous surface-internal wave problem: global well-posedness and decay ⋮ The nonlinear stability regime of the viscous Faraday wave problem ⋮ About nonlinear stability for multiple gas balls ⋮ Some Free Boundary Problem for Two-Phase Inhomogeneous Incompressible Flows ⋮ Vanishing Viscosity and Surface Tension Limits of Incompressible Viscous Surface Waves ⋮ Global well-posedness of the free-interface incompressible Euler equations with damping ⋮ Uniform regularity and vanishing viscosity limit for the free surface Navier-Stokes equations ⋮ Zero surface tension limit of the free-surface incompressible Euler equations with damping ⋮ On stabilizing effect of elasticity in the Rayleigh-Taylor problem of stratified viscoelastic fluids ⋮ Nonlinear stability and instability in the Rayleigh-Taylor problem of stratified compressible MHD fluids ⋮ Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion ⋮ Local Well Posedness of the Near-Equilibrium Contact Line Problem in 2-Dimensional Stokes Flow ⋮ Dynamics and Stability of Surface Waves with Surfactants ⋮ Anisotropic decay and global well-posedness of viscous surface waves without surface tension ⋮ Global existence and exponential stability for the compressible Navier-Stokes equations with discontinuous data ⋮ Zero surface tension limit of viscous surface waves ⋮ Splash singularities for the free boundary Navier-Stokes equations ⋮ Global regularity of 2D density patches for inhomogeneous Navier-Stokes ⋮ The Viscous Surface Wave Problem with Generalized Surface Energies ⋮ On the Exponential Stability of a Stratified Flow to the 2D Ideal MHD Equations with Damping ⋮ Global well-posedness of free interface problems for the incompressible inviscid resistive MHD ⋮ Stabilizing effect of elasticity on the motion of viscoelastic/elastic fluids ⋮ Weak-strong uniqueness for the Navier-Stokes equation for two fluids with surface tension ⋮ Instability of the abstract Rayleigh–Taylor problem and applications ⋮ On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium ⋮ Almost exponential decay of the Boussinesq equations without surface tension on the upper free boundary ⋮ On inhibition of the Rayleigh-Taylor instability by a horizontal magnetic field in ideal MHD fluids with velocity damping ⋮ 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 ⋮ Global well-posedness for the compressible non-resistive MHD equations in a 3D infinite slab ⋮ On classical solutions of Rayleigh-Taylor instability in inhomogeneous viscoelastic fluids ⋮ The Vlasov-Poisson-Landau system with the specular-reflection boundary condition ⋮ Global well-posedness for the three-dimensional full compressible viscous non-resistive MHD system ⋮ Passive scalars, moving boundaries, and Newton's law of cooling
Cites Work
- Unnamed Item
- Unnamed Item
- Local well-posedness of the viscous surface wave problem without surface tension
- Global wellposedness of the 3-D full water wave problem
- Solvability of the free boundary value problem of the Navier-Stokes equations
- Large-time regularity of viscous surface waves
- Decaying solution of a Navier-Stokes flow without surface tension
- Almost global wellposedness of the 2-D full water wave problem
- Problem of the motion of two viscous incompressible fluids separated by a closed free interface
- Well-posedness in Sobolev spaces of the full water wave problem in 2D
- Large-time existence of surface waves in incompressible viscous fluids with or without surface tension
- On the free boundary problem to the two viscous immiscible fluids
- Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients
- 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
- Large time existence of small viscous surface waves without surface tension
- Well-posedness of the free-surface incompressible Euler equations with or without surface tension
- On the free boundary problem of three-dimensional incompressible Euler equations
- The initial value problem for the navier-stokes equations with a free surface
- SOLVABILITY OF A PROBLEM ON THE MOTION OF A VISCOUS INCOMPRESSIBLE FLUID BOUNDED BY A FREE SURFACE
- Well-posedness in Sobolev spaces of the full water wave problem in 3-D
- Normal modes for a stratified viscous fluid layer
- Well-posedness of the water-waves equations
- Almost Exponential Decay Near Maxwellian
- Geometry and a priori estimates for free boundary problems of the Euler's equation
- Global solutions for the gravity water waves equation in dimension 3
This page was built for publication: Almost exponential decay of periodic viscous surface waves without surface tension