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Integral results for nonlinear diffusion equations
Authors:J. R. King
Affiliation:(1) Department of Theoretical Mechanics, University of Nottingham, NG7 2RD Nottingham, United Kingdom
Abstract:We show how to construct integral results for the multi-dimensional nonlinear diffusion equation partc/partt=nabla·(partD(c)partpartc) and for some generalisations of this. For appropriate boundary conditions these become integral invariants. An application of these results to determining the large-time behaviour of some radially symmetric problems is indicated.
Keywords:
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