On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids

DOI10.3934/dcds.2015.35.2497zbMath1383.76082arXiv1401.3244OpenAlexW2964236671MaRDI QIDQ255626

Elisabetta Rocca, Michela Eleuteri, Giulio Schimperna

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.3244

zbMATH Keywords

weak solutionsNavier-StokesCahn-Hilliardglobal-in-time existenceincompressible non-isothermal binary fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Multiphase and multicomponent flows (76Txx)

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Cites Work

• Unnamed Item
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• Adhesive contact delaminating at mixed mode, its thermodynamics and analysis
• Evolution of non-isothermal Landau-de Gennes nematic liquid crystals flows with singular potential
• Fatigue accumulation in a thermo-visco-elastoplastic plate
• Existence result for the one-dimensional full model of phase transitions
• Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials.
• A Navier-Stokes-Fourier system for incompressible fluids with temperature dependent material coefficients
• Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D
• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• Analysis of a nonlinear degenerating PDE system for phase transitions in thermoviscoelastic materials
• A model for shape memory alloys with the possibility of voids
• Thermodynamics of shape-memory alloys under electric current
• On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities
• The dynamics of a two-component fluid in the presence of capillary-forces
• Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
• Thermal control of the Souza-Auricchio model for shape memory alloys
• Well-posedness of an extended model for water-ice phase transitions
• Non-isothermal cyclic fatigue in an oscillating elastoplastic beam
• A new approach to non-isothermal models for nematic liquid crystals
• Convergence to equilibrium for a phase-field model for the mixture of two viscous incompressible fluids
• Mathematical theory of compressible, viscous, and heat conducting fluids
• A nonlocal phase-field model with nonconstant specific heat
• Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion
• Thermodynamics of Rate-independent Processes in Viscous Solids at Small Strains
• Existence of solutions to a phase transition model with microscopic movements
• On Lower Semicontinuity of Integral Functionals. I
• DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
• Partial regularity of suitable weak solutions of the navier-stokes equations
• TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
• A Bottle in a Freezer
• From an adhesive to a brittle delamination model in thermo-visco-elasticity
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• A degenerating PDE system for phase transitions and damage

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