# 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} }

## 5 Citations

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

- MathematicsAnnali di Matematica Pura ed Applicata (1923 -)
- 2020

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

- Mathematics
- 2020

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

- MathematicsActa Applicandae Mathematicae
- 2022

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

- MathematicsAnnali di Matematica Pura ed Applicata (1923 -)
- 2020

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

- MathematicsSIAM J. Appl. Dyn. Syst.
- 2022

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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### Strong Time Periodic Solutions to the Bidomain Equations with FitzHugh-Nagumo Type Nonlinearities

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Motivated by the study of related optimal control problems, weak and strong solution concepts for the bidomain system together with two-variable ionic models are analyzed. A key ingredient for the…

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The bidomain model is the standard model describing electrical activity of the heart. Here we study the stability of planar front solutions of the bidomain equation with a bistable nonlinearity (the…

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The findings suggest that the finite element method is suitable for studying normal and pathological cardiac activation and has significant advantages over existing techniques.