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Large-time regularity of viscous surface waves
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Outgoing claims: the papers this work cites, builds on, or argues with.
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The initial value problem for the navier‐stokes equations with a free surface
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J. L. Lions and E. Magenes, Non‐Homogeneous Boundary Value Problems and Applications, II. (Die Grundlehren d. Math. Wissenschaften, Bd. 182). XI + 242 S. Berlin/Heidelberg/New York 1972. Springer‐Verlag. Preis geb. DM 58,—
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Non-Homogeneous Boundary Value Problems and Applications
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On the Navier-Stokes initial value problem. I
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The solvability of the second initial boundary-value problem for the linear, time-dependent system of Navier-Stokes equations
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Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
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On uniqueness questions in the theory of viscous flow
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Existence and non-existence of global solutions for a semilinear heat equation
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Behaviour at time t = 0 of the solutions of semi-linear evolution equations
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Remarks on the Euler equation
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On the Euler equations of incompressible perfect fluids
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The Mathematical Theory of Viscous Incompressible Flow
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SOLVABILITY OF A PROBLEM ON THE MOTION OF A VISCOUS INCOMPRESSIBLE FLUID BOUNDED BY A FREE SURFACE
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On some nonexistence and nonuniqueness theorems for nonlinear parabolic equations
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Effect of Viscosity on Long Gravity Waves
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The initial value problem for the equations of motion of viscous and heat-conductive gases
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Sur les ondes de surface de l’eau avec une justification mathématique des équations des ondes en eau peu profonde
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Gravity Waves on the Free Surface of an Incompressible Perfect Fluid of Finite Depth
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On nonexistence of global solutions of some semilinear parabolic differential equations
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The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
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Thermocapillary free boundaries in crystal growth
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Small-time solvability of primitive equations for the ocean with spatially-varying vertical mixing
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Stability analysis of a finite element approximation for the Navier-Stokes equation with free surface
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Almost exponential decay of the Boussinesq equations without surface tension on the upper free boundary
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Compressible viscous heat-conducting surface wave without surface tension
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On the decay of viscous surface waves in 2D
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Global stability of the viscous non-resistive MHD Rayleigh–Taylor problem in a 3D infinite slab
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ON THE TRANSIENT MOTION OF AN ISOLATED VOLUME OF VISCOUS INCOMPRESSIBLE FLUID
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Report on a local in time solvability of free surface problems for the Navier–Stokes equations with surface tension
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A two-phase flow with a viscous and an inviscid fluid
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The Spin-Coating Process: Analysis of the Free Boundary Value Problem
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The Viscous Surface-Internal Wave Problem: Nonlinear Rayleigh–Taylor Instability
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Global existence of two phase nonhomogeneous viscous incompbessible fluid flow
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Large time existence of small viscous surface waves without surface tension
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Global solutions for the 2D NS–CH model for a two-phase flow of viscous, incompressible fluids with mixed partial viscosity and mobility
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Global solutions to the free boundary value problem of a chemotaxis-Navier–Stokes system
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On stability of liquid flow down an inclined plane
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The nonlinear stability regime of the viscous Faraday wave problem
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Variational Formulation of a Model Free-Boundary Problem
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Loss of control of motions from initial data for pending capillary liquid
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Stability of Equilibria for Two-Phase Flows with Soluble Surfactant
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A novel framework for reservoir computing with inertial manifolds
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Hopf Bifurcation in Two-Component Flow
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Some Numerical Methods for the Computation of Capillary Free Boundaries Governed by the Navier–Stokes Equations
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Generalized Viscoelastic Fluids with a Free Boundary without Surface Tension
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Quasi-Linear Parabolic Reaction-Diffusion Systems: A User's Guide to Well-Posedness, Spectra, and Stability of Travelling Waves
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The Compressible Viscous Surface-Internal Wave Problem: Local Well-Posedness
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Dynamics and Stability of Surface Waves with Surfactants
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Uniform Estimate of Viscous Free-Boundary Magnetohydrodynamics with Zero Vacuum Magnetic Field
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The Viscous Surface Wave Problem with Generalized Surface Energies
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Some Free Boundary Problem for Two-Phase Inhomogeneous Incompressible Flows
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Controllability of One-Dimensional Viscous Free Boundary Flows
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Vanishing Viscosity and Surface Tension Limits of Incompressible Viscous Surface Waves
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Reservoir Computing with an Inertial Form
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Approximation of the Integral Boundary Layer Equation by the Kuramoto--Sivashinsky Equation
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On Global Weak Solutions of the Nonstationary Two-Phase Stokes Flow
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Free Boundary Fluid Systems in a Semigroup Approach and Oscillatory Behavior
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A Finite Element Analysis of a Linearized Problem of the Navier--Stokes Equations with Surface Tension
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ON THE NONLINEAR STABILITY OF MARANGONI–BÉNARD PROBLEM WITH FREE SURFACE IN THE BOUSSINESQ APPROXIMATION
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SIMULATION OF A SPILLED OIL SLICK WITH A SHALLOW WATER MODEL WITH FREE BOUNDARY
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Uniform regularity for the free surface compressible Navier–Stokes equations with or without surface tension
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Uniform regularity for free-boundary Navier–Stokes equations with surface tension
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A study of the waves and boundary layers due to a surface pressure on a uniform stream of a slightly viscous liquid of finite depth
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Passive scalars, moving boundaries, and Newton's law of cooling
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The compressible viscous surface-internal wave problem: stability and vanishing surface tension limit
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On the stability of Rayleigh–Taylor problem for stratified rotating viscoelastic fluids
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Decaying solution of a Navier-Stokes flow without surface tension
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A numerical solution to a free surface wave problem
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Mathematical modeling and analysis for inkjet printing of advanced display thin films
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Proceedings of the 39th Sapporo Symposium on Partial Differential Equations
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On the Rayleigh-Taylor instability for the two-phase Navier-Stokes equations
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Mathematical derivation of viscous shallow-water equations with zero surface tension
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Stability of stationary solutions to the three-dimensional Navier-Stokes equations with surface tension
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Global Wellposedness of a Free Boundary Problem for the Navier-Stokes Equations in an Exterior Domain
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Modeling, simulation, and nonlinear analysis for film flow over inclined wavy bottoms
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On the Solution Operators Arising from the Gas-Liquid Two-Phase Problem in Unbounded Domains with Finite Depth
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Decay of viscous surface waves without surface tension in horizontally infinite domains
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Local well-posedness of the viscous surface wave problem without surface tension
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Global stability of the compressible viscous surface waves in an infinite layer
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