English

The bidomain problem as a gradient system

Analysis of PDEs 2018-04-24 v1

Abstract

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

Cite

@article{arxiv.1804.08272,
  title  = {The bidomain problem as a gradient system},
  author = {Zakaria Belhachmi and Ralph Chill},
  journal= {arXiv preprint arXiv:1804.08272},
  year   = {2018}
}

Comments

15 pages

R2 v1 2026-06-23T01:32:07.244Z