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arXiv · 1412.4158

Application of the $j$-subgradient in a problem of electropermeabilisation

Ralph Chill·Zakaria Belhachmi
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Abstract

We study a coupled elliptic-parabolic Poincar\'e-Steklov system arising in electrical cell activity in biological tissues. By using the notion of $j$-subgradient, we show that this system has a gradient structure and thus obtain wellposedness. We further exploit the gradient structure for the discretisation of the problem and provide numerical experiments.

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Ralph Chill, Zakaria Belhachmi. 2014-12-12. Application of the $j$-subgradient in a problem of electropermeabilisation. https://arxiv.org/abs/1412.4158

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