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Local Existence and Uniqueness of Strong Solutions to the Free Boundary Problem of the Full Compressible Navier--Stokes Equations in three dimensions - MaRDI portal

Local Existence and Uniqueness of Strong Solutions to the Free Boundary Problem of the Full Compressible Navier--Stokes Equations in three dimensions (Q4629299)

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scientific article; zbMATH DE number 7040231

Language	Label	Description	Also known as
English	Local Existence and Uniqueness of Strong Solutions to the Free Boundary Problem of the Full Compressible Navier--Stokes Equations in three dimensions	scientific article; zbMATH DE number 7040231

Statements

scholarly article

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Local Existence and Uniqueness of Strong Solutions to the Free Boundary Problem of the Full Compressible Navier--Stokes Equations in three dimensions (English)

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SIAM Journal on Mathematical Analysis

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publication date

21 March 2019

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full work available at URL

https://arxiv.org/abs/1802.00127

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zbMATH Keywords

compressible full Navier-Stokes equations

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free boundary problem

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existence of strong solutions

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bounded entropy

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MaRDI profile type

MaRDI publication profile

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Variational solutions of some nonlinear free boundary problems

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Blow-up of viscous heat-conducting compressible flows

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Existence results for viscous polytropic fluids with vacuum

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On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities

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On Korn's inequality

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A priori estimates for the free-boundary 3D compressible Euler equations in physical vacuum

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Well-posedness in smooth function spaces for moving-boundary 1-D compressible euler equations in physical vacuum

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Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum

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Local strong solution of Navier-Stokes-Poisson equations with degenerated viscosity coefficient

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Singular limits in thermodynamics of viscous fluids

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On the boundary-value problems of the theory of elasticity and Korn's inequality

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Well-posedness of 1-D compressible Euler-Poisson equations with physical vacuum

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Local well-posedness of the three dimensional compressible Euler-Poisson equations with physical vacuum

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Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations

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Analytical solutions to the compressible Navier-Stokes equations with density-dependent viscosity coefficients and free boundaries

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Expanding large global solutions of the equations of compressible fluid mechanics

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Existence and blowup behavior of global strong solutions to the two-dimensional barotropic compressible Navier-Stokes system with vacuum and large initial data

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Global classical and weak solutions to the three-dimensional full compressible Navier-Stokes system with vacuum and large oscillations

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On the Cauchy problem for the system of fundamental equations describing the movement of compressible viscous fluid

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Local well-posedness of dynamics of viscous gaseous stars

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Nonlinear Instability Theory of Lane-Emden Stars

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Well-posedness for compressible Euler equations with physical vacuum singularity

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Well-posedness of Compressible Euler Equations in a Physical Vacuum

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Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum

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Remarks on blow-up of smooth solutions to the compressible fluid with constant and degenerate viscosities

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Global strong solutions to radial symmetric compressible Navier-Stokes equations with free boundary

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The Chandrasekhar theory of stellar collapse as the limit quantum mechanics

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Stability of Gaseous Stars in Spherically Symmetric Motions

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Compressible flow with damping and vacuum

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Vacuum states for compressible flow

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A Model of Radiational Gaseous Stars

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Global solutions to compressible Navier-Stokes equations with spherical symmetry and free boundary

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Interface Behavior of Compressible Navier--Stokes Equations with Vacuum

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Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation

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Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities

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On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem

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Global Existence of Smooth Solutions and Convergence to Barenblatt Solutions for the Physical Vacuum Free Boundary Problem of Compressible Euler Equations with Damping

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The initial value problem for the equations of motion of viscous and heat-conductive gases

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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 the uniqueness of compressible fluid motions

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Global existence of near-affine solutions to the compressible Euler equations

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On the first initial-boundary value problem of compressible viscous fluid motion

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On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid

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Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density

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On blowup of classical solutions to the compressible Navier-Stokes equations

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Analytical solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure

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Evolution free boundary problem for equations of viscous compressible heat-conducting capillary fluids

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On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary

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On local motion of a general compressible viscous heat conducting fluid bounded by a free surface

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On Nonstationary Motion of a Compressible Barotropic Viscous Capillary Fluid Bounded by a Free Surface

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Existence of local solutions for free boundary problems for viscous compressible barotropic fluids

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Global-in-time smoothness of solutions to the vacuum free boundary problem for compressible isentropic Navier–Stokes equations

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Global resolution of the physical vacuum singularity for three-dimensional isentropic inviscid flows with damping in spherically symmetric motions

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Global behavior of spherically symmetric Navier-Stokes equations with density-dependent viscosity

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Global behavior of spherically symmetric Navier-Stokes-Poisson system with degenerate viscosity coefficients

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Identifiers

zbMATH Open document ID

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10.1137/18M1180426

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4629299

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