Diffusive waves in inhomogeneous media

DOI10.1017/S0013091500028704zbMath0701.35085MaRDI QIDQ3478839

Paul C. Fife

Publication date: 1989

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

diffusion equationinitial-value problemconnectioninternal layer

Mathematics Subject Classification ID

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

Related Items

Dynamics of interfaces in a scalar parabolic equation with variable diffusion coefficients, Asymptotic Expansion for Layer Solutions of a Singularly Perturbed Reaction-Diffusion System, Traveling waves in time almost periodic structures governed by bistable nonlinearities. I: Stability and Uniqueness, Traveling waves in time almost periodic structures governed by bistable nonlinearities. II: Existence, Generation and propagation of interfaces for reaction-diffusion equations, Turning points and traveling waves in Fitzhugh--Nagumo type equations, Autowave propagation for general reaction diffusion systems, Verification of asymptotic solutions for one-dimensional nonlinear parabolic equations

Cites Work

• Long time behavior of solutions of bistable nonlinear diffusion equations
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• The generation and propagation of internal layers