Non-smooth regularization of a forward-backward parabolic equation

DOI10.1142/9789813142862_0003zbMath1348.35116arXiv1508.03225OpenAlexW3108168298MaRDI QIDQ2829830

Pierluigi Colli, Giuseppe Tomassetti, Elena Bonetti

Publication date: 8 November 2016

Published in: Mathematical Models and Methods in Applied Sciences, New Trends in Differential Equations, Control Theory and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03225

zbMATH Keywords

hysteresiswell-posednesscontinuous dependence on dataforward-backward parabolic equationdiffusion of speciesnon-smooth regularizationnon-convex free-energy density

Mathematics Subject Classification ID

Transformations involving diffusion in solids (74N25) Problems involving hysteresis in solids (74N30) Initial-boundary value problems for PDEs of mixed type (35M13) Strong solutions to PDEs (35D35) Quasilinear parabolic equations (35K59)

Related Items (10)

Smooth and non-smooth regularizations of the nonlinear diffusion equation ⋮ A doubly nonlinear Cahn-Hilliard system with nonlinear viscosity ⋮ The Cahn--Hilliard Equation with Forward-Backward Dynamic Boundary Condition via Vanishing Viscosity ⋮ Bounded solutions and their asymptotics for a doubly nonlinear Cahn-Hilliard system ⋮ Sliding mode control for a phase field system related to tumor growth ⋮ Measure-Valued Solutions to a Nonlinear Fourth-Order Regularization of Forward-Backward Parabolic Equations ⋮ Analysis and optimal velocity control of a stochastic convective Cahn-Hilliard equation ⋮ Hysteresis and phase transitions in a lattice regularization of an ill-posed forward-backward diffusion equation ⋮ A thermodynamically consistent model of magneto-elastic materials under diffusion at large strains and its analysis ⋮ On some classes of nonlocal boundary-value problems for singular parabolic equations

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