Evolution of interfaces and explicit asymptotics at infinity for the fast diffusion equation with absorption

DOI10.1016/S0362-546X(01)00764-7zbMath1019.35052OpenAlexW1976829773MaRDI QIDQ1612593

Ugur G. Abdulla

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00764-7

zbMATH Keywords

reaction-diffusion equationsnonlinear degenerate parabolic equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15)

Related Items

Evolution of interfaces for the nonlinear parabolic p-Laplacian-type reaction-diffusion equations. II. Fast diffusion vs. absorption, Well-posedness of the Dirichlet problem for the non-linear diffusion equation in non-smooth domains, Evolution of interfaces for the non-linear parabolic p-Laplacian type reaction–diffusion equations, Interface development for the nonlinear degenerate multidimensional reaction-diffusion equations. II: Fast diffusion versus absorption, Interfaces in diffusion-absorption processes in nonhomogeneous media, Reaction-diffusion in nonsmooth and closed domains, Evolution of interfaces for the nonlinear double degenerate parabolic equation of turbulent filtration with absorption, Interface development for the nonlinear degenerate multidimensional reaction-diffusion equations, Existence and uniqueness of very singular solution of a degenerate parabolic equation with nonlinear convection

Cites Work

• On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium
• On a class of similarity solutions of the porous media equation
• Reaction-diffusion in irregular domains
• On solutions of some doubly nonlinear degenerate parabolic equations with absorption
• Behaviour of the Velocity of One-Dimensional Flows in Porous Media
• THE INITIAL INTERFACE DEVELOPMENT FOR A REACTION-DIFFUSION EQUATION WITH POWER-LAW INITIAL DATA
• The Cauchy Problem for u t = Δu m When 0 < m < 1
• Short time behaviour of a singular solution to the heat equation with absorption
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• On the initial growth of interfaces in reaction–diffusion equations with strong absorption
• Interface Development and Local Solutions to Reaction-Diffusion Equations