35 citations · 57 across the 17 of their papers we have counts for
12 papers · 1 filter
A supersolution approach to doubly degenerate parabolic equations with weights
Daniele Andreucci, Anatoli F. Tedeev
We consider the Cauchy problem in the Euclidean space for a doubly degenerate parabolic equation with a space-dependent exponential weight, where the exponent satisfies the doublin…
The Cauchy problem for doubly degenerate parabolic equations with weights
Daniele Andreucci, Anatoli F. Tedeev
We consider the Cauchy problem in the Euclidean space for a doubly degenerate parabolic equation with a space-dependent exponential weight, roughly speaking of the type of the expo…
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…
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…