Pousin, J. Infinitely fast kinetics for dissolution and diffusion in open reactive systems. (English) Zbl 0939.35040 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 39, No. 3, 261-279 (2000). 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. Reviewer: Costică Moroşanu (Iaşi) Cited in 1 ReviewCited in 4 Documents MSC: 35C20 Asymptotic expansions of solutions to PDEs 35R35 Free boundary problems for PDEs Keywords:parabolic-hyperbolic system; jumping nonlinearities PDF BibTeX XML Cite \textit{J. Pousin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 39, No. 3, 261--279 (2000; Zbl 0939.35040) Full Text: DOI