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Integral results for nonlinear diffusion equations

โœ Scribed by J. R. King

Publisher
Springer
Year
1991
Tongue
English
Weight
518 KB
Volume
25
Category
Article
ISSN
0022-0833

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โœฆ Synopsis

We show how to construct integral results for the multi-dimensional nonlinear diffusion equation Oc/Ot=V.(D(c)Vc), 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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In this paper two existence results concerning the global attractivity and global asymptotic attractivity for a certain functional nonlinear integral equation are proved. Our existence results include several existence as well as attractivity results obtained earlier by Banas and Dhage (2008) [1], H