In the contemporary language of mathematics, a special place is occupied by Numerical
Analysis, thanks to the steadily developing interest for the interplay among abstract …

Abstract Systems of reaction–diffusion partial differential equations (RD-PDEs) are widely
applied for modeling life science and physico-chemical phenomena. In particular, the …

High-energy density metal anodes are a key solution for next-generation mobility batteries,
but the difficulty of studying materials in real-life battery context leads to a methodological …

We focus on the morphochemical reaction–diffusion model introduced in Bozzini et al.(2013)
and carry out a nonlinear bifurcation analysis with the aim to characterize the shape and the …

The process of electrodeposition can be described in terms of a reaction-diffusion partial
differential equation (PDE) system that models the dynamics of the morphology profile and …

This paper proposes a novel mathematical model for the formation of spatio-temporal
patterns in electrodeposition. At variance with classical modelling approaches that are …

In this paper, we investigate from a theoretical point of view the 2D reaction-diffusion system
for electrodeposition coupling morphology and surface chemistry, presented and …

We analyze the effects of cross-diffusion on pattern formation in a PDE reaction-diffusion
system introduced in Bozzini et al. 2013 to describe metal growth in an electrodeposition …

Reaction-diffusion systems are extensively used in the mathematical modeling of biological
and chemical systems to explain the Turing instability. Generally, reaction-diffusion systems …

We investigate a suitable application of Model Order Reduction (MOR) techniques for the
numerical approximation of Turing patterns, that are stationary solutions of reaction …