Global well-posedness and \(L^2\) decay estimate of smooth solutions for 2D incompressible Navier-Stokes-Allen-Cahn system
DOI10.1007/s00033-022-01864-zzbMath1501.35318OpenAlexW4306706760MaRDI QIDQ2094012
Publication date: 27 October 2022
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-022-01864-z
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Liquid-liquid two component flows (76T06)
Cites Work
- Unnamed Item
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- Blow-up criterion for an incompressible Navier-Stokes/Allen-Cahn system with different densities
- Two-phase incompressible flows with variable density: an energetic variational approach
- Trajectory attractors for binary fluid mixtures in 3D
- A non-autonomous two-phase flow model with oscillating external force and its global attractor
- Vanishing viscosity limit for a coupled Navier-Stokes/Allen-Cahn system
- Strong solutions for an incompressible Navier-Stokes/Allen-Cahn system with different densities
- Longtime behavior for a model of homogeneous incompressible two-phase flows
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- A preconditioned Navier-Stokes method for two-phase flows with application to cavitation prediction
- Asymptotic stability of superposition of stationary solutions and rarefaction waves for 1D Navier-Stokes/Allen-Cahn system
- Strong solutions of the Navier-Stokes equations for a compressible fluid of Allen-Cahn type
- Modeling of soft matter. Selected papers based on the presentation at the workshop, Minneapolis, MN, USA, September 27--October 1, 2004.
- 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
- Spectral analysis for travelling waves in compressible two-phase fluids of Navier-Stokes-Allen-Cahn type
- Global large solutions for a coupled compressible Navier-Stokes/Allen-Cahn system with initial vacuum
- Axisymmetric Solutions to Coupled Navier–Stokes/Allen–Cahn Equations
- ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS
- Large time behaviour of solutions to the navier-stokes equations
- Stability of the rarefaction wave for a coupled compressible Navier‐Stokes/Allen‐Cahn system
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Approximation of Liquid Crystal Flows
- Global strong solution to a thermodynamic compressible diffuse interface model with temperature‐dependent heat conductivity in 1D
- Strong solutions to 1D compressible Navier‐Stokes/Allen‐Cahn system with free boundary
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