Variational characterization of the speed of reaction diffusion fronts for gradient dependent diffusion

DOI10.1007/S00023-018-0692-4zbMath1401.35174arXiv1706.08197OpenAlexW3105500256WikidataQ129606486 ScholiaQ129606486MaRDI QIDQ1783925

Rafael D. Benguria, M. Cristina Depassier

Publication date: 21 September 2018

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08197

zbMATH Keywords

asymptotic speed of traveling frontsgradient dependent diffusionreaction diffusion front

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Variational methods applied to PDEs (35A15)

Related Items (4)

Critical sharp front for doubly nonlinear degenerate diffusion equations with time delay ⋮ Existence and stability of traveling waves for doubly degenerate diffusion equations ⋮ Upper and lower bounds for the speed of fronts of the reaction diffusion equation with Stefan boundary conditions ⋮ Propagation fronts in a simplified model of tumor growth with degenerate cross-dependent self-diffusivity

Cites Work

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• On 1D diffusion problems with a gradient-dependent diffusion coefficient
• Multidimensional nonlinear diffusion arising in population genetics
• Travelling fronts in cylinders
• Variational characterization of the speed of propagation of fronts for the nonlinear diffusion equation
• The Fisher-KPP problem with doubly nonlinear diffusion

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