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INCOMPRESSIBLE LIMIT OF STRONG SOLUTIONS TO THE DIFFUSE INTERFACE MODEL FOR TWO-PHASE FLOWS

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
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Nonparabolic dissipative systems modeling the flow of liquid crystals
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Low Mach number limit of a diffuse interface model for two‐phase flows of compressible viscous fluids
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Relative energy approach to a diffuse interface model of a compressible two‐phase flow
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All-Time Existence of Smooth Solutions to PDEs of Mixed Type and the Invariant Subspace of Uniform States
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Fast Singular Limits of Hyperbolic PDEs
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On the thermomechanics of interstitial working
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Global Solutions for a Coupled Compressible Navier–Stokes/Allen–Cahn System in 1D
inferredcites →https://doi.org/10.1007/s00033-020-01438-xopenalex-snapshot
Blow-up criterion and the global existence of strong/classical solutions to Navier–Stokes/Allen–Cahn system
inferredcites →https://doi.org/10.1007/s00205-007-0066-4openalex-snapshot
The Low Mach Number Limit for the Full Navier–Stokes–Fourier System
inferredcites →https://doi.org/10.1007/s00205-008-0160-2openalex-snapshot
On a Diffuse Interface Model for Two-Phase Flows of Viscous, Incompressible Fluids with Matched Densities
inferredcites →https://doi.org/10.1007/s00205-012-0538-zopenalex-snapshot
Strong Solutions of the Navier–Stokes Equations for a Compressible Fluid of Allen–Cahn Type
inferredcites →https://doi.org/10.1007/s00220-009-0954-6openalex-snapshot
Incompressible Limits and Propagation of Acoustic Waves in Large Domains with Boundaries
inferredcites →https://doi.org/10.1007/s00220-010-0992-0openalex-snapshot
Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Periodic Boundary Conditions
inferredcites →https://doi.org/10.1007/s00574-016-0162-xopenalex-snapshot
Mixing rules and the Navier-Stokes-Cahn-Hilliard equations for compressible heat-conductive fluids
inferredcites →https://doi.org/10.1007/s10473-023-0513-9openalex-snapshot
The Asymptotic Stability of Phase Separation States for Compressible Immiscible Two-Phase Flow in 3D
inferredcites →https://doi.org/10.1007/s11401-005-0041-zopenalex-snapshot
Global Existence of Classical Solutions for Some Oldroyd-B Model via the Incompressible Limit*
inferredcites →https://doi.org/10.1016/j.aim.2014.03.022openalex-snapshot
Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data
inferredcites →https://doi.org/10.1016/j.anihpc.2009.11.013openalex-snapshot
Asymptotic behavior of a Cahn–Hilliard–Navier–Stokes system in 2D
inferredcites →https://doi.org/10.1016/j.jfa.2013.01.011openalex-snapshot
Incompressible limit of the compressible nematic liquid crystal flow
inferredcites →https://doi.org/10.1016/j.jmaa.2018.06.075openalex-snapshot
Asymptotic stability of solutions for 1-D compressible Navier–Stokes–Cahn–Hilliard system
inferredcites →https://doi.org/10.1016/j.matpur.2022.03.004openalex-snapshot
Uniform regularity for the compressible Navier-Stokes system with low Mach number in domains with boundaries
inferredcites →https://doi.org/10.1016/j.nonrwa.2017.03.001openalex-snapshot
Global large solutions for a coupled compressible Navier–Stokes/Allen–Cahn system with initial vacuum
inferredcites →https://doi.org/10.1016/j.physd.2010.11.014openalex-snapshot
Instability of two-phase flows: A lower bound on the dimension of the global attractor of the Cahn–Hilliard–Navier–Stokes system
inferredcites →https://doi.org/10.1016/s0252-9602(13)60038-7openalex-snapshot
Incompressible limit of a compressible liquid crystals system
inferredcites →https://doi.org/10.1063/1.1744102openalex-snapshot
Free Energy of a Nonuniform System. I. Interfacial Free Energy
inferredcites →https://doi.org/10.1063/1.5089229openalex-snapshot
Low Mach number limit of the compressible Navier-Stokes-Smoluchowski equations in multi-dimensions
inferredcites →https://doi.org/10.1088/0022-3727/32/10/307openalex-snapshot
A generalization of the Navier-Stokes equations to two-phase flows
inferredcites →https://doi.org/10.1098/rspa.1998.0273openalex-snapshot
Quasi–incompressible Cahn–Hilliard fluids and topological transitions
inferredcites →https://doi.org/10.1103/revmodphys.49.435openalex-snapshot
Theory of dynamic critical phenomena
inferredcites →https://doi.org/10.1137/040618813openalex-snapshot
Global Existence of Classical Solutions for the Two-Dimensional Oldroyd Model via the Incompressible Limit
inferredcites →https://doi.org/10.1137/080723983openalex-snapshot
Low Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows
inferredcites →https://doi.org/10.1137/100785168openalex-snapshot
Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Vanishing Viscosity Coefficients
inferredcites →https://doi.org/10.1137/120862120openalex-snapshot
Incompressible Limit of Viscous Liquid-Gas Two-Phase Flow Model
inferredcites →https://doi.org/10.1137/18m1223459openalex-snapshot
Uniqueness and Regularity for the Navier--Stokes--Cahn--Hilliard System
inferredcites →https://doi.org/10.1142/s0218202508002681openalex-snapshot
ON THE INCOMPRESSIBLE LIMIT FOR THE NAVIER–STOKES–FOURIER SYSTEM IN DOMAINS WITH WAVY BOTTOMS
inferredcites →https://doi.org/10.1142/s0218202510004544openalex-snapshot
ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS
inferredcites →https://doi.org/10.3934/dcds.1996.2.1openalex-snapshot
Partial regularity of the dynamic system modeling the flow of liquid crystals
inferredcites →https://doi.org/10.3934/dcds.2017138openalex-snapshot
Two-phase incompressible flows with variable density: An energetic variational approach
inferredcites →https://doi.org/10.3934/dcdss.2008.1.427openalex-snapshot
Navier's slip and incompressible limits in domains with variable bottoms
inferredcites →https://doi.org/10.4310/cms.2020.v18.n4.a8openalex-snapshot
Global solutions of a diffuse interface model for the two-phase flow of compressible viscous fluids in 1D
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