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Coupled diffusion systems with localized nonlinear reactions

✍ Scribed by M. Pedersen; Zhigui Lin

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
492 KB
Volume
42
Category
Article
ISSN
0898-1221

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✦ Synopsis

This paper deals with the blowup rate and profile near the blowup time for the system of diffusion equations ui, -Aui = u~. l (xo, t), (i = 1,..., k, Uk+l := ut) in ~ x (0, T) with boundary conditions ui = 0 on 0fl x [0, T). We show that the solution has a global blowup. The exact rate of the blowup is obtained, and we also derive the estimate of the boundary layer and on the asymptotic behavior of the solution in the boundary layer.

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