77 citations · 1.1k across the 89 of their papers we have counts for
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Homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary data
Vishnu Raveendran, Ida de Bonis, Emilio N. M. Cirillo +1
We study the periodic homogenization of a reaction-diffusion problem with large nonlinear drift and Robin boundary condition posed in an unbounded perforated domain. The nonlinear…
Phase separation and morphology formation in interacting ternary mixtures under evaporation: Well-posedness and numerical simulation of a non-local evolution system
Rainey Lyons, Emilio N. M. Cirillo, Adrian Muntean
We study a nonlinear coupled parabolic system with non-local drift terms modeling at the continuum level the inter-species interaction within a ternary mixture that allows the evap…
Upscaling of a reaction-diffusion-convection problem with exploding non-linear drift
Vishnu Raveendran, Emilio N. M. Cirillo, Adrian Muntean
We study a reaction-diffusion-convection problem with nonlinear drift posed in a domain with periodically arranged obstacles. The non-linearity in the drift is linked to the hydrod…
Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer
Vishnu Raveendran, Emilio N. M. Cirillo, Ida de Bonis +1
We study the question of periodic homogenization of a variably scaled reaction-diffusion problem with non-linear drift posed for a domain crossed by a flat composite thin layer. Th…
Diffusion in inhomogeneous media with periodic microstructures
Micol Amar, Daniele Andreucci, Emilio N. M. Cirillo
Diffusion in inhomogeneous materials can be described by both the Fick and Fokker--Planck diffusion equations. Here, we study a mixed Fick and Fokker-Planck diffusion problem with…
Driven particle flux through a membrane: Two-scale asymptotics of a diffusion equation with polynomial drift
Emilio N. M. Cirillo, Ida de Bonis, Adrian Muntean +1
Diffusion of particles through an heterogenous obstacle line is modeled as a two-dimensional diffusion problem with a one--directional nonlinear convective drift and is examined us…