Self-similar solutions in reaction-diffusion systems

Joanna Rencławowicz

Banach Center Publications, Tome 60 (2003), p. 337-346 / Harvested from The Polish Digital Mathematics Library

Résumé

In this paper we examine self-similar solutions to the system $u_{i t} - d_{i} Δ u_{i} = \prod_{k = 1}^{m} u_{k}^{p_{k}^{i}}$ , i = 1,…,m, $x \in ℝ^{N}$ , t > 0, $u_{i} (0, x) = u_{0 i} (x)$ , i = 1,…,m, $x \in ℝ^{N}$ , where m > 1 and $p_{k}^{i} > 0$ , to describe asymptotics near the blow up point.

Publié le : 2003-01-01

Zbl 1024.35015

EUDML-ID : urn:eudml:doc:282135

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     author = {Joanna Renc\l awowicz},
     title = {Self-similar solutions in reaction-diffusion systems},
     journal = {Banach Center Publications},
     volume = {60},
     year = {2003},
     pages = {337-346},
     zbl = {1024.35015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-26}
}

Joanna Rencławowicz. Self-similar solutions in reaction-diffusion systems. Banach Center Publications, Tome 60 (2003) pp. 337-346. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc60-0-26/