Integral results for nonlinear diffusion equations

DOI10.1007/BF00042853zbMath0753.76168OpenAlexW1982715551MaRDI QIDQ1196984

John R. King

Publication date: 16 January 1993

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00042853

zbMATH Keywords

large-time behaviourradially symmetric problems

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Diffusion (76R50)

Related Items (12)

Exact polynomial solutions to some nonlinear diffusion equations ⋮ Modeling of coating flows on curved surfaces ⋮ Large-time behaviour of solutions of the exterior-domain Cauchy-Dirichlet problem for the porous media equation with homogeneous boundary data ⋮ Cauchy-Dirichlet problems for the porous medium equation ⋮ Critical Fujita exponent for the porous medium equation in \(\mathbb{R}^N\) with hole ⋮ Explicit solutions of a two-dimensional fourth-order nonlinear diffusion equation ⋮ Near-Field Asymptotics for the Porous Medium Equation in Exterior Domains. The Critical Two-Dimensional Case ⋮ Asymptotic analysis of extinction behaviour in fast nonlinear diffusion ⋮ Pressure-dipole solutions of the thin-film equation ⋮ Numerical solutions of linear and nonlinear diffusion equations by a differential quadrature method (DQM) ⋮ Two generalizations of the thin film equation ⋮ Multidimensional singular diffusion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Similarity solutions for nonlinear diffusion - A new integration procedure
• Higher order nonlinear degenerate parabolic equations
• Symmetry, conserved quantities and moments in diffusive equations
• Asymptotic Behaviour and Propagation Properties of the One-Dimensional Flow of Gas in a Porous Medium
• Exact similarity solutions to some nonlinear diffusion equations
• High-Order Nonlinear Diffusion
• Bubble growth in porous media and Hele–Shaw cells
• The Mesa Problem: Diffusion Patterns for u_t = ∇ · (u^m∇u) as m → +∞
• The Isolation Oxidation of Silicon: The Reaction-Controlled Case
• Some Hele Shaw flows with time-dependent free boundaries
• Large time solution of an inhomogeneous nonlinear diffusion equation
• Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
• DIFFUSION FROM AN INSTANTANEOUS POINT SOURCE WITH A CONCENTRATION-DEPENDENT COEFFICIENT

This page was built for publication: Integral results for nonlinear diffusion equations