Blow-up criterion and the global existence of strong/classical solutions to Navier-Stokes/Allen-Cahn system
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Publication:2026437
DOI10.1007/s00033-020-01438-xzbMath1464.35041OpenAlexW3121086682MaRDI QIDQ2026437
Publication date: 19 May 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-020-01438-x
Navier-Stokes equations (35Q30) Liquid-gas two-phase flows, bubbly flows (76T10) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44)
Related Items (6)
On global classical solutions to one-dimensional compressible Navier-Stokes/Allen-Cahn system with density-dependent viscosity and vacuum ⋮ Strong solutions for 1D compressible Navier-Stokes/Allen-Cahn system with phase variable dependent viscosity ⋮ Global existence and optimal time decay rates of 3D non-isentropic compressible Navier-Stokes-Allen-Cahn system ⋮ Global strong/classical solutions to the one-dimensional compressible Navier-Stokes-Allen-Cahn system with density-dependent viscosity ⋮ Global solutions to 1D compressible Navier-Stokes/Allen-Cahn system with density-dependent viscosity and free-boundary ⋮ Global weak solutions for 1D compressible Navier-Stokes/Allen-Cahn system with vacuum
Cites Work
- Unnamed Item
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- Blow-up criterion for an incompressible Navier-Stokes/Allen-Cahn system with different densities
- Decently regular steady solutions to the compressible NSAC system
- A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
- Blowup criterion for viscous baratropic flows with vacuum states
- Global classical large solutions to 1D compressible Navier-Stokes equations with density-dependent viscosity and vacuum
- Vanishing viscosity limit for a coupled Navier-Stokes/Allen-Cahn system
- On the interior regularity of weak solutions of the Navier-Stokes equations
- Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity
- The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients
- Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations
- Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum
- Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. II
- Unique solvability of the initial boundary value problems for compressible viscous fluids.
- Vacuum states for compressible flow
- Motion of a droplet by surface tension along the boundary
- Strong solutions of the Navier-Stokes equations for a compressible fluid of Allen-Cahn type
- Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum
- Compressible fluids and active potentials
- Global existence of weak solution to compressible Navier-Stokes/Allen-Cahn system in three dimensions
- Global solutions for a coupled compressible Navier-Stokes/Allen-Cahn system in 1D
- Global large solutions for a coupled compressible Navier-Stokes/Allen-Cahn system with initial vacuum
- Global smooth solutions of the compressible Navier-Stokes equations with density-dependent viscosity
- Blow-up criterions of strong solutions to 3D compressible Navier-Stokes equations with vacuum
- Global classical solution of the Cauchy problem to 1D compressible Navier-Stokes equations with large initial data
- On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
- Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations
- COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM
- Axisymmetric Solutions to Coupled Navier–Stokes/Allen–Cahn Equations
- Serrin-Type Criterion for the Three-Dimensional Viscous Compressible Flows
- On the Barotropic Compressible Navier–Stokes Equations
- BLOW-UP CRITERIA FOR THE NAVIER–STOKES EQUATIONS OF COMPRESSIBLE FLUIDS
- Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients
- ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS
- Global Smooth Solutions of the Equations of a Viscous, Heat - Conducting, One - Dimensional Gas with Density - Dependent Viscosity
- Existence of global strong solution for the compressible Navier–Stokes equations with degenerate viscosity coefficients in 1D
- Compressible Navier–Stokes equations with vacuum state in the case of general pressure law
- Higher energy solutions in the theory of phase transitions: A variational approach
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