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A reaction-diffusion system modeling the cardiac electric field
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Description: |
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.
Area(s):
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Date: |
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| Start Time: |
15.30 |
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Speaker: |
Mostafa Bendahmane (University of Oslo, Norway)
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Place: |
5.5
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| Research Groups: |
-Analysis
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See more:
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<Main>
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© 2012 Centre for Mathematics, University of Coimbra, funded by
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