
details
Title
A reactiondiffusion system modeling the cardiac electric field
Abstract We are concerned with a degenerate system of nonlinear
partial differential
equations modeling the cardiac electric field at macroscopic level.
First, the existence of weak solutions is proved via non degenerate
approximation
system, FaedoGalerkin, monotonicity and compactness methods.
Second, we prove the existence of a weak solution by demonstrating that
the finite volume scheme
is convergent and that any limit function satisfies the definition of
weak solution. The convergence proof is based on deriving a series of a
priori estimates
and using a general $L^p$ compactness.
Speaker(s)
Mostafa Bendahmane (University of Oslo, Norway)
Date
July 15, 2005 Time 15.30 Room
5.5

