Asymptotic analysis of a doubly nonlinear diffusion equation

King, John R. (2016) Asymptotic analysis of a doubly nonlinear diffusion equation. Nonlinear Analysis: Theory, Methods & Applications, 138 . pp. 253-276. ISSN 0362-546X

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Abstract

We investigate the doubly nonlinear diffusion equation

∂u/∂t=1/n ∇.(u^m│∇u│^n-1) ∇u) and the same equation expressed in terms of a `pressure' variable. We classify various classes of compacted supported solutions, as well as finite-mass solutions that decay algebraically at infinity. A number of novel phenomena are identified, particularly for n<0, that seem to us worthy of further mathematical investigation.

Item Type: Article
Keywords: Nonlinear diffusion; asymptotic analysis; moving boundary problems; image analysis
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1016/j.na.2015.12.003
Depositing User: Mason, Jane
Date Deposited: 23 Jun 2016 09:39
Last Modified: 15 Sep 2016 20:31
URI: http://eprints.nottingham.ac.uk/id/eprint/33229

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