Palestras e Seminários
06/02/2025
16:30
sala 3-009
Palestrante: Juliana Honda Lopes
Responsável: Gabriel Araujo (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Modo: Presencial
Programa de Verão em Matemática 2025
Abstract
This work is concerned with the mathematical analysis of a general cell-fluid Navier-Stokes model with the inclusion of chemotaxis proposed by [2]. This general model relays on a mixture theory multi- phase formulation. It consists of two mass balance equations and two general momentum balance equations, respectively, for the cell and fluid phase, combined with a convection-diffusion-reaction equation for oxygen. We investigate the existence of weak solutions in a two or three-dimensional bounded domain when the fluids are assumed to be incompressible with constant volume fraction.
JHL was financed by FAPESP-Brazil grant 2020/14206-3.
This lecture is part of the Programa de Verão em Matemática 2025
