Flux limited generalized porous media diffusion equations

DOI10.5565/PUBLMAT_57113_07zbMath1282.35205MaRDI QIDQ2636756

Vincent Caselles

Publication date: 31 January 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pm/1355854303

zbMATH Keywords

entropy solutionsnonlinear semigroupRankine-Hugoniot conditionflux limited diffusion

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Weak solutions to PDEs (35D30)

Related Items (12)

Qualitative behavior and traveling waves for flux-saturated porous media equations arising in optimal mass transportation ⋮ Local-in-time regularity results for some flux-limited diffusion equations of porous media type ⋮ Wavefronts in traffic flows and crowds dynamics ⋮ EnVarA-FEM for the flux-limited porous medium equation ⋮ Traveling Waves in Degenerate Diffusion Equations ⋮ Singular patterns in Keller–Segel-type models ⋮ Cross-diffusion and traveling waves in porous-media flux-saturated Keller–Segel models ⋮ Qualitative behaviour for flux-saturated mechanisms: travelling waves, waiting time and smoothing effects ⋮ Pattern formation in a flux limited reaction-diffusion equation of porous media type ⋮ Saturated fronts in crowds dynamics ⋮ Analysis of a Class of Degenerate Parabolic Equations with Saturation Mechanisms ⋮ Finite Speed of Propagation and Waiting Time Phenomena for Degenerate Parabolic Equations with Linear Growth Lagrangian

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