"Fluid-rigid body" interaction problem

• Grant number: 23/11369-7
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: October 16, 2023
• End date: October 22, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Nikolai Vasilievich Chemetov
• Grantee: Nikolai Vasilievich Chemetov
• Visiting researcher: Anna Laura Mazzucato
• Visiting researcher institution: Pennsylvania State University, United States
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil

Abstract

In many phenomena of fluid dynamics, a fluid interacts with a solid structure, where it exerts pressure that can cause deformation in the structure and thus causes a change in the flow of the fluid itself. These phenomena are called "fluid-body interactions", which occur, for example, in medicine (blood flow in veins of animal bodies), in zoology (swimming aquatic animals) and in aerodynamics (flow around cars, aircrafts or boats), among other areas.In this project we consider a "fluid-rigid body" interaction problem, considering the Navier slip conditions on the rigid body boundary and on the bounded domain boundary, which is occupied by the Newtonian fluid and the rigid body.We will obtain the theoretical result of the global in time solvability of the problem in the three-dimensional case.During this visit, a joint investigation will be carried out by Professors Nikolai Chemetov (host) and Marcelo Santos (UNICAMP) with Visiting Professor Anna Mazzucato (Penn State University, United States), on the "fluid-rigid body" interaction problem.In addition, Professor Anna Mazzucato is a member of the organizing committee of the ''VI Workshop on Fluids and PDE'' which will be at IMECC/UNICAMP in Campinas, and will also give a lecture on a mathematical model in Fluid Mechanics. (AU)