Some qualitative properties of solutions of a generalised diffusion equation

DOI10.1017/S030500410005636XzbMath0428.35046OpenAlexW1988197089MaRDI QIDQ3864904

Julio E. Bouillet, Colin Atkinson

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1017/s030500410005636x

zbMATH Keywords

monotonicityfiltrationuniquenessSchauder's fixed point theoremlocal existenceporous mediamonotone iterationbackward continuationcompact support of the solutionssimilarity solutions for nonlinear diffusion equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for linear higher-order PDEs (35G10) Diffusion and convection (76R99) Second-order parabolic equations (35K10) Higher-order parabolic equations (35K25) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (13)

Existence results for doubly nonlinear higher order parabolic equations on unbounded domains ⋮ Positive solutions of singular Dirichlet boundary value problems with time and space singularities ⋮ Error bounds for the finite element approximation of a degenerate quasilinear parabolic variational inequality ⋮ Boundary value problems for general second order equations and similarity solutions to the Rayleigh problem ⋮ Steady temperature fields associated with a moving rod in a medium with nonlinear thermal conductivity ⋮ Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear parabolic equations and variational inequalities ⋮ On a doubly nonlinear diffusion equation in hydrology ⋮ A necessary and sufficient condition for finite speed of propagation in the theory of doubly nonlinear degenerate parabolic equations ⋮ A free boundary problem for a generalized diffusion equation ⋮ On existence of multiple positive solutions for \(\phi\)-Laplacian multipoint boundary value ⋮ Homogeneous diffusion in \({\mathbb{R}}\) with power-like nonlinear diffusivity ⋮ A generalized diffusion equation: Radial symmetries and comparison theorems ⋮ Some moving boundary problems for a generalised diffusion equation

Cites Work

• Similarity profiles of flows through porous media
• SIMILARITY SOLUTIONS IN SOME NON-LINEAR DIFFUSION PROBLEMS AND IN BOUNDARY-LAYER FLOW OF A PSEUDO-PLASTIC FLUID
• n-Diffusion
• Similarity solutions of the nonlinear diffusion equation

This page was built for publication: Some qualitative properties of solutions of a generalised diffusion equation