Strong time-periodic solutions to the bidomain equations with arbitrary large forces

@article{Giga2018StrongTS,
  title={Strong time-periodic solutions to the bidomain equations with arbitrary large forces},
  author={Yoshikazu Giga and Naoto Kajiwara and Klaus Kress},
  journal={Nonlinear Analysis: Real World Applications},
  year={2018}
}
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5 Citations
Methods Citations
3

5 Citations

The periodic version of the Da Prato–Grisvard theorem and applications to the bidomain equations with FitzHugh–Nagumo transport

In this article, the periodic version of the classical Da Prato–Grisvard theorem on maximal $${{L}}^p$$ L p -regularity in real interpolation spaces is developed, as well as its extension to…

Time-Periodic Solutions to Bidomain, Chemotaxis-Fluid, and Q-Tensor Models

The main objective of this thesis is the investigation of different models arising from mathematical biology and fluid mechanics in the time-periodic setting. We consider the classical Keller-Segel…

Existence of a T $T$ -Periodic Solution for the Monodomain Model Corresponding to an Isolated Ventricle Due to Ionic-Diffusive Relations

In this paper, we find relations between the ionic parameters and the diffusion parameters which are sufficient to ensure the existence of a periodic solution for a well-known monodomain model in a…

The periodic version of the Da Prato–Grisvard theorem and applications to the bidomain equations with FitzHugh–Nagumo transport

In this article, the periodic version of the classical Da Prato–Grisvard theorem on maximal Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts}…

Asymptotic behavior of fronts and pulses of the bidomain model

The bidomain model is investigated in two spatial dimension and it is found that, after the planar front is destabilized, a rotating zigzag front develops whose shape can be explained by simple geometric arguments using a suitable Frank diagram.

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