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Immediate Blowup of Entropy-Bounded Classical Solutions to the Vacuum Free Boundary Problem of Nonisentropic Compressible Navier–Stokes Equations - MaRDI portal

Immediate Blowup of Entropy-Bounded Classical Solutions to the Vacuum Free Boundary Problem of Nonisentropic Compressible Navier–Stokes Equations (Q6042087)

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scientific article; zbMATH DE number 7686421

Language	Label	Description	Also known as
English	Immediate Blowup of Entropy-Bounded Classical Solutions to the Vacuum Free Boundary Problem of Nonisentropic Compressible Navier–Stokes Equations	scientific article; zbMATH DE number 7686421

Statements

scholarly article

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Immediate Blowup of Entropy-Bounded Classical Solutions to the Vacuum Free Boundary Problem of Nonisentropic Compressible Navier–Stokes Equations (English)

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SIAM Journal on Mathematical Analysis

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publication date

16 May 2023

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full work available at URL

https://arxiv.org/abs/2204.08630

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zbMATH Keywords

compressible Navier-Stokes equations

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vacuum free boundary problem

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blow-up

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maximum principle

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MaRDI profile type

MaRDI publication profile

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Local well-posedness to the vacuum free boundary problem of full compressible Navier-Stokes equations in \(\mathbb{R}^3\)

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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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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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Well-posedness of non-isentropic Euler equations with physical vacuum

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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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Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations

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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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Nonlinear Stability of Expanding Star Solutions of the Radially Symmetric Mass‐Critical Euler‐Poisson System

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Non-formation of vacuum states for compressible Navier-Stokes equations

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Global solutions to physical vacuum problem of non-isentropic viscous gaseous stars and nonlinear asymptotic stability of stationary solutions

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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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Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations

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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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Well-posedness for compressible Euler equations with physical vacuum singularity

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Well and ill-posedness for compressible Euler equations with vacuum

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Well-posedness of Compressible Euler Equations in a Physical 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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Non-existence of classical solutions with finite energy to the Cauchy problem of the compressible Navier-Stokes equations

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

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Compressible flow with damping and vacuum

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Compressible flow with vacuum and physical singularity.

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A Model of Radiational Gaseous Stars

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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

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The self-similar solutions to full compressible Navier–Stokes equations without heat conductivity

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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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Non-relativistic limit analysis of the Chandrasekhar–Thorne relativistic Euler equations with physical vacuum

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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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Global classical solutions to the one dimensional free boundary problem for compressible non-isothermal liquid crystal flow with large data

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Uniform regularity for the free surface compressible Navier–Stokes equations with or without surface tension

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Le problème de Cauchy pour les équations différentielles d'un fluide général

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Global expanding solutions of compressible Euler equations with small initial densities

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Global solutions to the compressible Euler equations with heat transport by convection around Dyson's isothermal affine solutions

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The vacuum boundary problem for the spherically symmetric compressible Euler equations with positive density and unbounded entropy

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On the uniqueness of compressible fluid motions

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Global existence and asymptotic behavior of affine motion of 3D ideal fluids surrounded by vacuum

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A problem with free boundary for the Navier-Stokes equations for a compressible fluid in the presence of surface tension

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

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

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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 Compressible Barotropic Viscous Capillary Fluid Bounded by a Free Surface

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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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Almost global solutions to the three-dimensional isentropic inviscid flows with damping in a physical vacuum around Barenblatt solutions

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1137/22M1493732

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Sitelinks

Mathematics(1 entry)

mardi Publication:6042087

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