12 citations · 13 across the 9 of their papers we have counts for
10 papers
Upscaled equations for the Fokker-Planck diffusion through arrays of permeable and of impermeable inclusions
M. Amar, D. Andreucci, E. N. M. Cirillo
We study the Fokker-Planck diffusion equation with diffusion coefficient depending periodically on the space variable. Inside a periodic array of inclusions the diffusion coefficie…
Periodic homogenization in the context of structured deformations
Micol Amar, José Matias, Marco Morandotti +1
An energy for first-order structured deformations in the context of periodic homogenization is obtained. This energy, defined in principle by relaxation of an initial energy of int…
Well-posedness for a modified bidomain model describing bioelectric activity in damaged heart tissues
Micol Amar, Daniele Andreucci, Claudia Timofte
We prove the existence and the uniqueness of a solution for a modified bidomain model, describing the electrical behaviour of the cardiac tissue in pathological situations. The lea…
Homogenization of a modified bidomain model involving imperfect transmission
Micol Amar, Daniele Andreucci, Claudia Timofte
We study, by means of the periodic unfolding technique, the homogenization of a modified bidomain model, which describes the propagation of the action potential in the cardiac elec…
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…
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…