Integral results for nonlinear diffusion equations |
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Authors: | J. R. King |
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Affiliation: | (1) Department of Theoretical Mechanics, University of Nottingham, NG7 2RD Nottingham, United Kingdom |
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Abstract: | We show how to construct integral results for the multi-dimensional nonlinear diffusion equation c/t=·(D(c)c) 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. |
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