Finite Speed of Propagation and Waiting Time Phenomena for Degenerate Parabolic Equations with Linear Growth Lagrangian

DOI10.1137/130945077zbMath1342.35155OpenAlexW909319259MaRDI QIDQ5256611

Lorenzo Giacomelli

Publication date: 19 June 2015

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

Full work available at URL: http://hdl.handle.net/11573/780500

zbMATH Keywords

entropy solutionsdegenerate parabolic equationsfinite speed of propagationsingular parabolic equationsnonlinear transport equationswaiting time phenomena

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Qualitative properties of solutions to partial differential equations (35B99) Generalized solutions to partial differential equations (35D99) Singular parabolic equations (35K67) Quasilinear parabolic equations (35K59) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (10)

Qualitative behavior and traveling waves for flux-saturated porous media equations arising in optimal mass transportation ⋮ The 1-harmonic flow with values into a smooth planar curve ⋮ EnVarA-FEM for the flux-limited porous medium equation ⋮ Singular patterns in Keller–Segel-type models ⋮ Anisotropic tempered diffusion equations ⋮ 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 ⋮ On sonic hedgehog morphogenic action and finite propagation speed models ⋮ Nonlinear diffusion in transparent media: the resolvent equation ⋮ Analysis of a Class of Degenerate Parabolic Equations with Saturation Mechanisms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the entropy conditions for some flux limited diffusion equations
• An existence and uniqueness result for flux limited diffusion equations
• Some regularity results on the `relativistic' heat equation
• Integral representation on \(BV(\Omega )\) of \(\Gamma\)-limits of variational integrals
• Droplet spreading under weak slippage: the waiting time phenomenon
• The Cauchy problem for a strongly degenerate quasilinear equation
• Upper bounds on waiting times for the thin-film equation: the case of weak slippage
• Lower bounds on waiting times for degenerate parabolic equations and systems
• Finite propagation speed for limited flux diffusion equations
• Flux limited generalized porous media diffusion equations
• Local-in-time regularity results for some flux-limited diffusion equations of porous media type
• On the relativistic heat equation in one space dimension
• Radially Symmetric Solutions of a Tempered Diffusion Equation. A Porous Media, Flux-Limited Case
• Convergence of flux limited porous media diffusion equations to its classical counterpart
• On the pointwise behavior of the solutions of the porous medium equation as t approaches zero or infinity
• Analysis of a Class of Degenerate Parabolic Equations with Saturation Mechanisms

This page was built for publication: Finite Speed of Propagation and Waiting Time Phenomena for Degenerate Parabolic Equations with Linear Growth Lagrangian