The bidomain problem as a gradient system

We consider a general, nonlinear version of the bidomain system. Using the gradient structure of this system, but also the notion of j-subgradient, we prove wellposedness of the bidomain system in the energy space and provide first numerical experiments.

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Bibliographic Details
Published in:Journal of Differential Equations 2020-05, Vol.268 (11), p.6598-6610
Main Authors: Belhachmi, Zakaria, Chill, Ralph
Format: Article
Language:English
Subjects:
Bidomain problem
FitzHugh-Nagumo model
General Mathematics
Gradient system
j-subgradient
Mathematics
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Description
Summary:We consider a general, nonlinear version of the bidomain system. Using the gradient structure of this system, but also the notion of j-subgradient, we prove wellposedness of the bidomain system in the energy space and provide first numerical experiments.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2019.11.042