On higher-order anisotropic conservative Caginalp phase-field systems

DOI10.1007/s00245-016-9375-zzbMath1388.35089OpenAlexW2518629199MaRDI QIDQ1754662

Alain Miranville

Publication date: 31 May 2018

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-016-9375-z

zbMATH Keywords

dissipativitywell-posednesshigher-order systemsglobal attractoranisotropyconserved phase-field systems

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45)

Related Items (1)

ON ANISOTROPIC CAGINALP PHASE-FIELD TYPE MODELS WITH SINGULAR NONLINEAR TERMS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Higher-order anisotropic Caginalp phase-field systems
• Some mathematical models in phase transition
• A generalization of the Caginalp phase-field system with Neumann boundary conditions
• Anisotropic phase field equations of arbitrary order
• Interface conditions for a phase field model with anisotropic and non-local interactions
• The non-isothermal Allen-Cahn equation with dynamic boundary conditions
• The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials
• On the Caginalp system with dynamic boundary conditions and singular potentials.
• An analysis of a phase field model of a free boundary
• Phase segregation dynamics in particle systems with long range interactions. I: Macroscopic limits
• Infinite-dimensional dynamical systems in mechanics and physics.
• Modeling and numerical simulations of dendritic crystal growth
• Existence of a universal attractor for a fully hyperbolic phase-field system
• Maximal attractor and inertial sets for a conserved phase field model
• On the conserved phase-field model
• Higher-order anisotropic models in phase separation
• Long time behavior of solutions to the Caginalp system with singular potential
• Asymptotic behavior of solutions to the phase-field equations with Neumann boundary condi\-tions
• Long-time convergence of solutions to a phase-field system
• The Dynamics of a Conserved Phase Field System: Stefan-like, Hele-Shaw, and Cahn-Hilliard Models as Asymptotic Limits
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Convergence to steady states of solutions of the Cahn–Hilliard and Caginalp equations with dynamic boundary conditions
• Phase Segregation Dynamics in Particle Systems with Long Range Interactions II: Interface Motion
• Finite dimensional exponential attractor for the phase field model
• On the notion of a ξ –vector and a stress tensor for a general class of anisotropic diffuse interface models
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Well‐posedness and long time behavior of a parabolic‐hyperbolic phase‐field system with singular potentials
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
• Long-time stabilization of solutions to a phase-field model with memory

This page was built for publication: On higher-order anisotropic conservative Caginalp phase-field systems