Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model
DOI10.4171/RLM/970zbMath1500.35089arXiv1907.12816MaRDI QIDQ2083981
Robert Lasarzik, Giulio Schimperna, Elisabetta Rocca
Publication date: 17 October 2022
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.12816
Reaction-diffusion equations (35K57) Stefan problems, phase changes, etc. (80A22) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
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- On a phase field model for solid-liquid phase transitions
- Relative entropies in thermodynamics of complete fluid systems
- Fonctions à hessien borné
- Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
- Existence result for the one-dimensional full model of phase transitions
- On the interior regularity of weak solutions of the Navier-Stokes equations
- Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials.
- A new dual approach for a class of phase transitions with memory: existence and long-time behaviour of solutions
- Analysis of a nonlinear degenerating PDE system for phase transitions in thermoviscoelastic materials
- Partial differential equations. III: Nonlinear equations.
- Existence and boundedness of solutions for a singular phase field system
- The second law of thermodynamics and stability
- Measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank energy
- Weak-strong uniqueness for the general Ericksen-Leslie system in three dimensions
- Dissipative solution to the Ericksen-Leslie system equipped with the Oseen-Frank energy
- Existence results for energetic models for rate-independent systems
- Weak-strong uniqueness for measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank free energy
- Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system
- Weak-strong uniqueness property for the full Navier-Stokes-Fourier system
- Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space
- Mathematical theory of compressible, viscous, and heat conducting fluids
- Global existence and long-time behaviour for a singular integro-differential phase-field system
- Quasistatic evolution problems for linearly elastic-perfectly plastic materials
- A PHASE FIELD MODEL WITH THERMAL MEMORY GOVERNED BY THE ENTROPY BALANCE
- A Posteriori Modeling Error Estimates for the Assumption of Perfect Incompressibility in the Navier--Stokes Equation
- Existence of solutions to a phase transition model with microscopic movements
- On Lower Semicontinuity of Integral Functionals. I
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- On a hyperbolic system arising in liquid crystals modeling
- A phase transition model with the entropy balance
- Errata corrige: “Existence of solutions to some models of phase changes with microscopic movements”
- ``Entropic” Solutions to a Thermodynamically Consistent PDE System for Phase Transitions and Damage
- A degenerating PDE system for phase transitions and damage
- Singular limits in thermodynamics of viscous fluids
- Nonlinear partial differential equations with applications
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