On the initial growth of interfaces in reaction–diffusion equations with strong absorption

DOI10.1017/S0308210500029504zbMath0787.35044MaRDI QIDQ4277233

No author found.

Publication date: 7 February 1994

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemCauchy problemcoolingreaction-diffusion equationheatinggrowth of interfacesstrong absorption terms

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65)

Related Items (4)

Evolution of interfaces and explicit asymptotics at infinity for the fast diffusion equation with absorption ⋮ Unnamed Item ⋮ Regularity for degenerate evolution equations with strong absorption ⋮ Local structure of solutions of the reaction-diffusion equations

Cites Work

• Unnamed Item
• Thermal waves in an absorbing and convecting medium
• Sufficient and necessary initial mass conditions for the existence of a waiting time in nonlinear-convection processes
• The porous medium equation with nonlinear absorption and moving boundaries
• Extinction properties of semilinear heat equations with strong absorption
• Thermal waves in absorbing media
• The Interfaces of One-Dimensional Flows in Porous Media
• Asymptotic Solutions of a Model Diffusion-Reaction Equation
• On the Dynamics of a Semilinear Heat Equation with Strong Absorption
• Stabilization of solutions of nonlinear and degenerate evolution equations
• Finite speed of propagation and asymptotic rates for some nonlinear higher order parabolic equations with absorption
• The One-Dimensional Nonlinear Heat Equation with Absorption: Regularity of Solutions and Interfaces
• Short time behaviour of a singular solution to the heat equation with absorption
• On the behaviour of the free boundary of some nonhomogeneous elliptic problems
• Degenerate parabolic equations with general nonlinearities
• The propagation of disturbances in problems of non-linear heat conduction with absorption
• The effect of absorption on heat propagation in a medium in which the thermal conductivity depends on temperature
• A class of degenerate diffusion equations with a singular nonlinear term
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue

This page was built for publication: On the initial growth of interfaces in reaction–diffusion equations with strong absorption