Date | Dec 20, 2023 |
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Speaker | Maryam Samavaki |

Dept. | Faculty of Information Technology and Communication Sciences, Tampere University |

Room | 129-309 |

Time | 11:00-12:30 |

This presentation explores solutions to the Navier–Stokes equations (NSEs) in compact Riemannian manifolds, acknowledged by the Clay Mathematics Institute. It delves into decomposing fluid flows using Killing vector fields and highlights diffusion operators’ impact. The framework integrates NSEs, the pressure–Poisson equation, and Hagen–Poiseuille-inspired boundary conditions to study non-Newtonian effects in cerebral arterial circulation. Conducted within a realistic head model, it estimates hemodynamic parameters, informing an electrical conductivity atlas of the brain. The atlas aids neuroimaging studies such as EEG/MEG, tES, and EIT, establishing a link to MRI data for a comprehensive understanding of fluid dynamics and electrical conductivity in the human brain.

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