New technologies play a central role in damage prevention of artistic and cultural heritage.
The literature is ourishing of mathematical models that describe the process of corrosion due …

Recently reaction–diffusion approximation has been intensively studied. This paper reviews
the studies in reaction–diffusion approximation and is based on Iida and Ninomiya (Sugaku …

We provide a common theoretical framework reuniting specific models for the Ca2+-alginate
system and general reaction diffusion theory along with experimental validation on a …

A new type of competition-diffusion system with a small parameter is proposed. By singular
limit analysis, it is shown that any solution of this system converges to the weak solution of …

We develop a model that takes into account the combined effect of transport and chemical
reactions for the study of various flooding experiments with chalk cores where the flooding …

We investigate the qualitative behavior of solutions to the initial-boundary value problem on
the half-line for a nonlinear system of parabolic equations, which arises to describe the …

We introduce a degenerate nonlinear parabolic system that describes the chemical
aggression of calcium carbonate stones under the attack of sulphur dioxide. For this system …

We consider a coupled bulk-surface system of partial differential equations with nonlinear
coupling modeling receptor-ligand dynamics. The model arises as a simplification of a …

We consider in this paper a microscopic model (that is, a system of three reaction–diffusion
equations) incorporating the dynamics of handling and searching predators, and show that …

The rigorous asymptotics from reaction-cross-diffusion systems for three species with known
entropy to cross-diffusion systems for two variables is investigated. The equations are …