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Title
A reaction-diffusion 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, Faedo-Galerkin, 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

 
     
 

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