Long-Time Behavior of Solutions to a Class of Forward-Backward Parabolic Equations

DOI10.1137/090763561zbMath1235.35044OpenAlexW2006383289MaRDI QIDQ5392367

Flavia Smarrazzo, Tesei, Alberto

Publication date: 8 April 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090763561

zbMATH Keywords

regularizationlong-time behaviorvanishing viscosity methodentropy inequalitiessteady stateone space dimensionNeumannforward-backward parabolicconvergence to steady state

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Ill-posed problems for PDEs (35R25) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59)

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NUMERICAL EXPLORATION OF A FORWARD–BACKWARD DIFFUSION EQUATION ⋮ A model for capillary hysteresis loops in unsaturated porous media theory ⋮ Long-time behaviour of two-phase solutions to a class of forward-backward parabolic equations ⋮ Some recent results concerning a class of forward-backward parabolic equations ⋮ Radon measure-valued solutions for a class of quasilinear parabolic equations ⋮ TV‐like regularization for backward parabolic problems ⋮ A backward-forward regularization of the Perona-Malik equation ⋮ Degenerate regularization of forward-backward parabolic equations: the regularized problem ⋮ Hysteresis and phase transitions in a lattice regularization of an ill-posed forward-backward diffusion equation ⋮ Fast reaction limit and forward-backward diffusion: a Radon-Nikodym approach

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