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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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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Chill, Ralph
description 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.
doi_str_mv 10.1016/j.jde.2019.11.042
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ispartof Journal of Differential Equations, 2020-05, Vol.268 (11), p.6598-6610
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subjects Bidomain problem
FitzHugh-Nagumo model
General Mathematics
Gradient system
j-subgradient
Mathematics
title The bidomain problem as a gradient system
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