Existence and stabilization of solutions to the phase-field model with memory

DOI10.1216/jiea/1181074220zbMath0925.45006OpenAlexW2095351396MaRDI QIDQ1272576

Pierluigi Colli, Philippe Laurençot

Publication date: 8 November 1999

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/jie/Vol10-2/cont102/cont102.html

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Asymptotics of solutions to integral equations (45M05)

Related Items (8)

Global solution to a generalized nonisothermal Ginzburg-Landau system. ⋮ The conserved Penrose-Fife system with temperature-dependent memory. ⋮ A phase field system with memory: Global existence ⋮ The conserved Penrose-Fife phase field model with special heat flux laws and memory effects ⋮ Long-time convergence of solutions to a phase-field system ⋮ A new dual approach for a class of phase transitions with memory: existence and long-time behaviour of solutions ⋮ Hyperbolic phase-field dynamics with memory ⋮ Convergence to equilibrium for a fully hyperbolic phase‐field model with Cattaneo heat flux law

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An analysis of a phase field model of a free boundary
• Compact sets in the space \(L^ p(0,T;B)\)
• Global smooth solution to the standard phase-field model with memory
• Well-posedness of the weak formulation for the phase-field model with memory
• Semi-linear second-order elliptic equations in \(L^1\)
• Existence and asymptotic results for a system of integro-partial differential equations
• A general theory of heat conduction with finite wave speeds
• Stabilization of solutions of nonlinear and degenerate evolution equations
• On a Nonlinear Hyperbolic Volterra Equation

This page was built for publication: Existence and stabilization of solutions to the phase-field model with memory