On the Limit of some Diffusion-Reaction System with Small Parameter

H. Gajewski; H.-D. Sparing

doi:10.4171/zaa/123

JournalszaaVol. 3, No. 6pp. 481–487

On the Limit of some Diffusion-Reaction System with Small Parameter

H. Gajewski
Karl-Weierstraß-Institut für Mathematik, Berlin, Germany
H.-D. Sparing
Karl-Weierstraß-Institut für Mathematik, Berlin, Germany

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Abstract

A diffusion-reaction system with small parameter $ϵ$ is considered describing some process of polycondensation in which the chemical reactions are faster than the mass transport. For $ϵ \to 0$ results a nonlinear evolution equation like $v_{t} = Δ f (v)$ .

Cite this article

H. Gajewski, H.-D. Sparing, On the Limit of some Diffusion-Reaction System with Small Parameter. Z. Anal. Anwend. 3 (1984), no. 6, pp. 481–487

DOI 10.4171/ZAA/123