Evolution of a stable profile for a class of nonlinear diffusion equations. II

DOI10.1063/1.523653zbMath0468.76085OpenAlexW2073982700MaRDI QIDQ3922407

James G. Berryman, Charles J. Holland

Publication date: 1978

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.523653

zbMATH Keywords

nonlinear diffusion equationsSturm Liouville problemcross-field diffusionstable profiletoroidal multiple plasmas

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Diffusion and convection (76R99) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (8)

Immiscible two-phase flow in a porous medium: Utilization of a Laplace transform boost ⋮ Implementation of new iterative techniques for solutions of Thomas-Fermi and Emden-Fowler equations ⋮ Stability of the separable solution for fast diffusion ⋮ Semi-discretization in time of a fast diffusion equation ⋮ On comparing the solutions of linear diffusion equations with those of singular nonlinear ``fast diffusion equations ⋮ Evolution of a stable profile for a class of nonlinear diffusion equations. III. Slow diffusion on the line ⋮ Convergence of Berryman’s iterative method for some Emden–Fowler equations ⋮ Shape functions for separable solutions to cross-field diffusion problems

Cites Work

• Evolution of a stable profile for a class of nonlinear diffusion equations with fixed boundaries

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