Existence and asymptotic results for a system of integro-partial differential equations

DOI10.1007/BF01194214zbMath0844.35040MaRDI QIDQ1906300

Viorel Barbu, Sergiu Aizicovici

Publication date: 10 September 1996

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

solidification processglobal existence and uniqueness

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Integro-partial differential equations (45K05) Stefan problems, phase changes, etc. (80A22)

Related Items (12)

A Stefan/Mullins-Sekerka type problem with memory ⋮ Weak solution to some Penrose-Fife phase-field systems with temperature-dependent memory ⋮ Optimal relaxed control of stochastic hereditary evolution equations with Lévy noise ⋮ Approach to study of bifurcations and stability of integro-differential equations ⋮ Unnamed Item ⋮ A phase field system with memory: Global existence ⋮ Asymptotic behaviour of solutions of a conserved phase-field system with memory ⋮ Long-time convergence of solutions to a phase-field system ⋮ Front motion for phase transitions in systems with memory ⋮ Existence and asymptotic behavior for hereditary stochastic evolution equations ⋮ Convergence to equilibrium for a fully hyperbolic phase‐field model with Cattaneo heat flux law ⋮ Existence and stabilization of solutions to the phase-field model with memory

Cites Work

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• Phase transition problems in materials with memory
• Asymptotic behavior of nonlinear contraction semigroups
• On a Nonlinear Hyperbolic Volterra Equation
• Resolvent Formulas for a Volterra Equation in Hilbert Space
• A bifurcation problem for a nonlinear partial differential equation of parabolic type^†
• Finite dimensional exponential attractor for the phase field model

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