The phase-field transition system with non-homogeneous Cauchy-Stefan-Boltzmann and homogeneous Neumann boundary conditions and non-constant thermal conductivity

DOI10.1016/j.na.2013.04.001zbMath1325.35090OpenAlexW2078608262MaRDI QIDQ393208

Costică Moroşanu

Publication date: 16 January 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.04.001

zbMATH Keywords

regularityexistenceuniquenessphase-field transition system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items

Optimal control and controllability of a phase field system with one control force

Cites Work

• A product formula approach to a nonhomogeneous boundary optimal control problem governed by nonlinear phase-field transition system. I: A phase-field model
• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• Inertial manifolds and inertial sets for the phase-field equations
• Existence of global solutions to the Caginalp phase-field system with dynamic boundary conditions and singular potentials
• Fractional Steps Scheme to Approximate the Phase-Field Transition System with Non-Homogeneous Cauchy–Neumann Boundary Conditions
• Convergence of the phase field model to its sharp interface limits
• Evolution systems of nonlinear variational inequalities arising from phase change problems
• Some questions in the optimal control of distributed systems
• Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item