Infinitely fast kinetics for dissolution and diffusion in open reactive systems
type: Item
instance of: scholarly article
title: Infinitely fast kinetics for dissolution and diffusion in open reactive systems
zbMATH Open document ID: 0939.35040
DOI: 10.1016/S0362-546X(98)00162-X
author: J. Pousin
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2000-07-05T00:00:00Z
review text: In the present paper it is analysed the asymptotics of the dissolution-diffusion reactive model that consists of a mixed system of two semilinear partial differential equations (a parabolic one and a hyperbolic one) with jumping nonlinearities. It is introduced the function \(Z\) (Legendre function) associated to the concentration in liquid phase, and convergence results for this function, when \(k\) (the rate of dissolution) becomes infinite, are given. It is proved also that the sequence of functions representing the concentration in liquid phase converges to the solution of a Stefan problem when \(k\) goes to infinity.
Mathematics Subject Classification ID: 35C20
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 1389526
zbMATH Keywords: parabolic-hyperbolic system
zbMATH Keywords: jumping nonlinearities
reviewed by: Costică Moroşanu
MaRDI profile type: Publication
full work available at URL: s0362-546x(98)00162-x
OpenAlex ID: W1963819732
Wikidata QID: Q128054905
description: scientific article; zbMATH DE number 1389526