35 citations · 57 across the 17 of their papers we have counts for
3 papers · 1 filter
Some remarks on the Sobolev inequality in Riemannian manifolds
Daniele Andreucci, Anatoli F. Tedeev
We investigate Sobolev and Hardy inequalities, specifically weighted Minerbe's type estimates, in noncompact complete connected Riemannian manifolds whose geometry is described by…
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…