Micropolar fluid-thin elastic structure interaction: variational analysis

• Published in: Mathematical modelling and analysis Vol. 29; no. 4; pp. 641 - 668
• Main Authors: Panasenko, Grigory, Paoli, Laetitia, Stavre, Ruxandra
• Format: Journal Article
• Language: English
• Published: Vilnius Vilnius Gediminas Technical University 11.10.2024; Taylor&Francis and VGTU
• Subjects: Applied mathematics; Blood flow; Elastic analysis; Elastic layers; existence; Fluid pressure; Fluid-structure interaction; Mathematics; micropolar fluid; Micropolar fluids; periodic flow; Regularity; Rheology; stratified elastic layer; Thin films; Two dimensional analysis; Two dimensional flow; uniqueness; Veins & arteries; periodic flow; fluid-structure interaction; micropolar fluid; uniqueness; existence; stratified elastic layer; regularity

We consider the non-stationary flow of a micropolar fluid in a thin channel with an impervious wall and an elastic stiff wall, motivated by applications to blood flows through arteries. We assume that the elastic wall is composed of several layers with different elastic characteristics and that the...