Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions

DOI10.1016/S0022-247X(02)00559-0zbMath1023.35051OpenAlexW1997548579MaRDI QIDQ1874578

Songmu Zheng, Juergen Sprekels

Publication date: 25 May 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00559-0

zbMATH Keywords

phase transitiona priori estimateinitial-boundary problemnonlocal modelsystem of integro-partial differential equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Integro-partial differential equations (45K05) A priori estimates in context of PDEs (35B45)

Related Items

A non-smooth version of the Lojasiewicz-Simon theorem with applications to non-local phase-field systems ⋮ A nonlocal phase-field system with inertial term ⋮ Local existence of solutions of a three phase‐field model for solidification ⋮ Optimal control and controllability of a phase field system with one control force ⋮ Three-dimensional solidification with two possible crystallization states: Existence of solutions with flow in the melt ⋮ Solutions of an advected phase field system with low regularity velocity ⋮ Nonlocality and thermodynamic restrictions in phase-field models ⋮ A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity ⋮ On a nonlocal phase-field system ⋮ Analysis of a two-phase field model for the solidification of an alloy ⋮ Solvability for the non-isothermal Kobayashi-Warren-Carter system ⋮ Numerical simulations of nonlocal phase-field and hyperbolic nonlocal phase-field models via localized radial basis functions-based pseudo-spectral method (LRBF-PSM)

Cites Work

• Unnamed Item
• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• An integrodifferential model for phase transitions: stationary solutions in higher space dimensions
• On a nonlocal phase separation model
• Phase-field models with hysteresis
• On a Penrose-Fife model with zero interfacial energy leading to a phase-field system of relaxed Stefan type
• On The Coupled Cahn-hilliard Equations
• Asymptotic behaviour for a phase-field system with hysteresis

This page was built for publication: Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions