12 citations · 13 across the 5 of their papers we have counts for
5 papers
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…
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…
Short time existence for a general backward-forward parabolic system arising from Mean-Field Games
Marco Cirant, Roberto Gianni, Paola Mannucci
We study the local in time existence of a regular solution of a nonlinear parabolic backward-forward system arising from the theory of Mean-Field Games (briefly MFG). The proof is…
Error estimate for a homogenization problem involving the Laplace-Beltrami operator
Micol Amar, Roberto Gianni
In this paper we prove a concentration result and an error estimate for a model of heat conduction in composite materials having a microscopic structure arranged in a perodic array…
Asymptotic decay under nonlinear and noncoercive dissipative effects for electrical conduction in biological tissues
Micol Amar, Daniele Andreucci, Roberto Gianni
We consider a nonlinear model for electrical conduction in biological tissues. The nonlinearity appears in the interface condition prescribed on the cell membrane. The purpose of t…