Blow-up criterion and the global existence of strong/classical solutions to Navier-Stokes/Allen-Cahn system
type: Item
instance of: scholarly article
title: Blow-up criterion and the global existence of strong/classical solutions to Navier-Stokes/Allen-Cahn system
zbMATH Open document ID: 1464.35041
author: Senming Chen
author: Changjiang Zhu
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2021-05-19T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76T10
zbMATH DE Number: 7349781
zbMATH Keywords: blow-up criterion
zbMATH Keywords: strong/classical solutions
zbMATH Keywords: Navier-Stokes/Allen-Cahn system
MaRDI profile type: Publication
full work available at URL: s00033-020-01438-x
OpenAlex ID: W3121086682
cites work: Motion of a droplet by surface tension along the boundary
cites work: Decently regular steady solutions to the compressible NSAC system
cites work: Global large solutions for a coupled compressible Navier-Stokes/Allen-Cahn system with initial vacuum
cites work: Global existence of weak solution to compressible Navier-Stokes/Allen-Cahn system in three dimensions
cites work: Unique solvability of the initial boundary value problems for compressible viscous fluids.
cites work: On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
cites work: Compressible fluids and active potentials
cites work: Global classical large solutions to 1D compressible Navier-Stokes equations with density-dependent viscosity and vacuum
cites work: Global solutions for a coupled compressible Navier-Stokes/Allen-Cahn system in 1D
cites work: BLOW-UP CRITERIA FOR THE NAVIER–STOKES EQUATIONS OF COMPRESSIBLE FLUIDS
cites work: Compressible Navier–Stokes equations with vacuum state in the case of general pressure law
cites work: ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS
cites work: Higher energy solutions in the theory of phase transitions: A variational approach
cites work: Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients
cites work: Q3772818
cites work: Existence of global strong solution for the compressible Navier–Stokes equations with degenerate viscosity coefficients in 1D
cites work: Serrin-Type Criterion for the Three-Dimensional Viscous Compressible Flows
cites work: Blowup criterion for viscous baratropic flows with vacuum states
cites work: Global Smooth Solutions of the Equations of a Viscous, Heat - Conducting, One - Dimensional Gas with Density - Dependent Viscosity
cites work: Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity
cites work: Global classical solution of the Cauchy problem to 1D compressible Navier-Stokes equations with large initial data
cites work: The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients
cites work: Strong solutions of the Navier-Stokes equations for a compressible fluid of Allen-Cahn type
cites work: Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations
cites work: Vacuum states for compressible flow
cites work: Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum
cites work: Blow-up criterion for an incompressible Navier-Stokes/Allen-Cahn system with different densities
cites work: On the Barotropic Compressible Navier–Stokes Equations
cites work: Q4707325
cites work: Global smooth solutions of the compressible Navier-Stokes equations with density-dependent viscosity
cites work: On the interior regularity of weak solutions of the Navier-Stokes equations
cites work: A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
cites work: Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations
cites work: Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. II
cites work: Blow-up criterions of strong solutions to 3D compressible Navier-Stokes equations with vacuum
cites work: Axisymmetric Solutions to Coupled Navier–Stokes/Allen–Cahn Equations
cites work: COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM
cites work: Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum
cites work: Vanishing viscosity limit for a coupled Navier-Stokes/Allen-Cahn system
DOI: 10.1007/S00033-020-01438-X
description: scientific article; zbMATH DE number 7349781