Waiting-Time Behavior in a Nonlinear Diffusion Equation

DOI10.1002/sapm198267279zbMath0499.76078OpenAlexW2553142701MaRDI QIDQ3965828

William L. Kath, Donald S. Cohen

Publication date: 1982

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm198267279

zbMATH Keywords

nonlinear diffusiontwo-scale expansionswaiting-time solutionscorner shockssingular-perturbation theoryspeed of interfaces

Mathematics Subject Classification ID

Diffusion and convection (76R99)

Related Items (17)

Simulation of parabolic flow on an eye-shaped domain with moving boundary ⋮ Merging traveling waves for the porous-Fisher's equation ⋮ The porous medium equation as a finite-speed approximation to a Hamilton- Jacobi equation ⋮ Nonlinear diffusion of impurities in semiconductors ⋮ A mapping of a generalisation of a thin film equation on a moving substrate ⋮ Bifurcations of self-similar solutions for reversing interfaces in the slow diffusion equation with strong absorption ⋮ Effects of Anisotropy in Tridimensional Diffusion: Flow Patterns and Transport Efficiency ⋮ Cauchy-Dirichlet problems for the porous medium equation ⋮ Approximate solutions to a nonlinear diffusion equation ⋮ Interfaces with a corner point in one-dimensional porous medium flow ⋮ Bounds of waiting-time in nonlinear diffusion. ⋮ An asymptotic approach to second-kind similarity solutions of the modified porous-medium equation ⋮ Lyapunov functions for thermomechanics with spatially varying boundary temperatures ⋮ Self-similar viscous gravity currents: phase-plane formalism ⋮ Ray methods for free boundary problems ⋮ Waiting and propagating fronts in nonlinear diffusion ⋮ A large time‐step implicit moving mesh scheme for moving boundary problems

Cites Work

• Unsteady propagation of the combustion wave in a medium with slowly varying parameters
• The asymptotic behaviour of the solution of the filtration equation
• Asymptotic Analysis of Nonlinear Marshak Waves
• The Porous Medium Equation in One Dimension
• Viscous sheets advancing over dry beds
• A perturbation method for nonlinear dispersive wave problems
• Regularity Properties of Flows Through Porous Media: A Counterexample
• On a quasi-linear parabolic equation occurring in aerodynamics
• Unnamed Item

This page was built for publication: Waiting-Time Behavior in a Nonlinear Diffusion Equation