Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Repeated Support Splitting and Connecting Phenomena in the Solutions of Some Nonlinear Diffusion Equations(Theory)
Kenji TomoedaTatsuyuki Nakaki
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2009 Volume 19 Issue 1 Pages 25-37

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Abstract
The interaction between diffusion and absorption suggests some interesting phenomena in several fields. Numerical computation to the model equation which describes such an interaction suggests a remarkable property on the support of solution; that is, after support splitting phenomena appear, the support becomes connected, and thereafter the support splits again. In this paper we construct an initial function for which such a property appears by making use of the particular solutions. Moreover, we justify repeated numerical support splitting and connecting phenomena.
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© 2009 The Japan Society for Industrial and Applied Mathematics
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