3 papers
math.AP2020
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…
math.AP2020
Well-posedness of two pseudo-parabolic problems for electrical conduction in heterogeneous media
Micol Amar, Daniele Andreucci, Roberto Gianni +1
We prove a well-posedness result for two pseudo-parabolic problems, which can be seen as two models for the same electrical conduction phenomenon in heterogeneous media, neglecting…
math.AP2020
Concentration and homogenization in electrical conduction in heterogeneous media involving the Laplace-Beltrami operator
Micol Amar, Daniele Andreucci, Roberto Gianni +1
We study a concentration and homogenization problem modelling electrical conduction in a composite material. The novelty of the problem is due to the specific scaling of the physic…