Global strong/classical solutions to the one-dimensional compressible Navier-Stokes-Allen-Cahn system with density-dependent viscosity (Q6154497)

scientific article; zbMATH DE number 7805425

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English	Global strong/classical solutions to the one-dimensional compressible Navier-Stokes-Allen-Cahn system with density-dependent viscosity	scientific article; zbMATH DE number 7805425

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instance of

scholarly article

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title

Global strong/classical solutions to the one-dimensional compressible Navier-Stokes-Allen-Cahn system with density-dependent viscosity (English)

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Discrete and Continuous Dynamical Systems. Series B

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publication date

15 February 2024

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zbMATH Keywords

compressible Navier-Stokes-Allen-Cahn system

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strong/classical solutions

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density-dependent viscosity

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large initial data

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/dcdsb.2023127

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cites work

On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids

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New effective pressure and existence of global strong solution for compressible Navier–Stokes equations with general viscosity coefficient in one dimension

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Global large solutions for a coupled compressible Navier-Stokes/Allen-Cahn system with initial vacuum

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Existence of weak solutions to steady Navier-Stokes/Allen-Cahn system

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Global existence of weak solution to compressible Navier-Stokes/Allen-Cahn system in three dimensions

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Blow-up criterion and the global existence of strong/classical solutions to Navier-Stokes/Allen-Cahn system

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Global strong solution to a thermodynamic compressible diffuse interface model with temperature‐dependent heat conductivity in 1D

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Asymptotics of the 1D compressible Navier-Stokes equations with density-dependent viscosity

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Compressible fluids and active potentials

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Global solutions for a coupled compressible Navier-Stokes/Allen-Cahn system in 1D

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Strong solutions to 1D compressible Navier‐Stokes/Allen‐Cahn system with free boundary

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Global strong solution to compressible Navier-Stokes equations with density dependent viscosity and temperature dependent heat conductivity

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ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS

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Phase-field and Korteweg-type models for the time-dependent flow of compressible two-phase fluids

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Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients

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Existence of global strong solution for the compressible Navier–Stokes equations with degenerate viscosity coefficients in 1D

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On the development and generalizations of Allen-Cahn and Stefan equations within a thermodynamic framework

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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 Smooth Solutions of the Equations of a Viscous, Heat - Conducting, One - Dimensional Gas with Density - Dependent Viscosity

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Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity

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Global classical solution to two-dimensional compressible Navier-Stokes equations with large data in \(\mathbb{R}^2\)

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Stability of Rarefaction Waves to the 1D Compressible Navier–Stokes Equations with Density-Dependent Viscosity

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The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients

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Q5644438

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Strong solutions of the Navier-Stokes equations for a compressible fluid of Allen-Cahn type

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Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations

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On classical solutions for viscous polytropic fluids with degenerate viscosities and vacuum

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Vacuum states for compressible flow

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Stability of the composite wave for compressible Navier–Stokes/Allen–Cahn system

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Stability of the rarefaction wave for a coupled compressible Navier‐Stokes/Allen‐Cahn system

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Existence and Uniqueness of Global Strong Solutions for One-Dimensional Compressible Navier–Stokes Equations

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Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations

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Global smooth solutions of the compressible Navier-Stokes equations with density-dependent viscosity

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One-dimensional compressible heat-conducting gas with temperature-dependent viscosity

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Strong solutions for 1D compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity

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COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM

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A vacuum problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity

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Asymptotic stability of superposition of stationary solutions and rarefaction waves for 1D Navier-Stokes/Allen-Cahn system

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Global behavior of compressible Navier-Stokes equations with a degenerate viscosity coefficient

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Asymptotic behavior of compressible Navier-Stokes equations with density-dependent viscosity and vacuum

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Identifiers

DOI

10.3934/dcdsb.2023127

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6154497