Global existence for a 1D parabolic–elliptic model for chemical aggression in permeable materials. (February 2015)

• Record Type: Journal Article
• Authors: Alì, Giuseppe; Natalini, Roberto; Torcicollo, Isabella
• Is Part Of: Nonlinear analysis. Volume 21(2015)
• Page Start: 1
• Page End: 12
• Publication Date: 2015-02
• Subjects: Reaction–diffusion -- Existence and uniqueness of solutions -- Porous media -- Convective and diffusive flows -- Chemical reactions -- Carbonate rocks; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.05.006
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We prove the global existence and uniqueness of smooth solutions to a nonlinear system of parabolic–elliptic equations, which describes the chemical aggression of a permeable material, like calcium carbonate rocks, in the presence of acid atmosphere. This model applies when convective flows are not negligible, due to the high permeability of the material. The global (in time) result is proven by using a weak continuation principle for the local solutions.