35 citations · 57 across the 17 of their papers we have counts for
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Asymptotic properties of solutions to the Cauchy problem for degenerate parabolic equations with inhomogeneous density on manifolds
Daniele Andreucci, Anatoli Tedeev
We consider the Cauchy problem for doubly nonlinear degenerate parabolic equations with inhomogeneous density on noncompact Riemannian manifolds. We give a qualitative classificati…
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…
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…