Singular Traveling Waves and Non-linear Reaction-Diffusion Equations

DOI10.1007/978-3-319-49631-3_5zbMath1457.76152OpenAlexW2742930927MaRDI QIDQ4637195

Juan G. Calvo

Publication date: 18 April 2018

Published in: Computational Mathematics, Numerical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-49631-3_5

zbMATH Keywords

porous medium flowembryo pattern formationflux saturation

Mathematics Subject Classification ID

Diffusion (76R50) Flows in porous media; filtration; seepage (76S05) Developmental biology, pattern formation (92C15) Reaction effects in flows (76V05) Physiological flows (76Z05) Diffusion and convection (76R99)

Cites Work

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• Qualitative behavior and traveling waves for flux-saturated porous media equations arising in optimal mass transportation
• On a nonlinear flux-limited equation arising in the transport of morphogens
• On the entropy conditions for some flux limited diffusion equations
• Pattern formation in a flux limited reaction-diffusion equation of porous media type
• A strongly degenerate quasilinear elliptic equation
• Travelling waves in nonlinear diffusion-convection reaction
• On the analysis of traveling waves to a nonlinear flux limited reaction-diffusion equation
• Flux-saturated porous media equations and applications
• The Cauchy problem for a strongly degenerate quasilinear equation
• Finite propagation speed for limited flux diffusion equations
• QUALITATIVE PROPERTIES OF THE SOLUTIONS OF A NONLINEAR FLUX-LIMITED EQUATION ARISING IN THE TRANSPORT OF MORPHOGENS
• The chemical basis of morphogenesis
• Analysis of a Class of Degenerate Parabolic Equations with Saturation Mechanisms

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