Theoretical study of mathematical models in fluid dynamics

• Grant number: 24/16483-5
• Support Opportunities: Regular Research Grants
• Start date: February 01, 2025
• End date: January 31, 2028
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Nikolai Vasilievich Chemetov
• Grantee: Nikolai Vasilievich Chemetov
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil

Abstract

The project aims to continue the research that has already been carried out by the proponent as well as to solve the problems proposed in the research activities of this project. The project aims to support the proponent in the development of his scientific research in the area of knowledge of Mathematics in Partial Differential Equations.The research activities to be developed are mainly immersed in the Theory of Fluid Dynamics involving the following research activities:1st activity: Stochastic hyperbolic-elliptic equations (porous media, superconductivity)2nd activity: Movement of rigid bodies in a viscous fluid;We emphasize that the scientific gains of the project extend to the undergraduate level through scientific initiation guidance. The project will contribute to the training of personnel at the master's level through our Post-Graduate Program in Mathematics and at doctoral level through the Postgraduate Program in Mathematics-ICMC, São CarlosThe project will reinforce the existing partnership between the proponent and other researchers from Brazil and abroad, and consequently an increase in the scientific production of Mathematics at the Department of Computing and Mathematics - FFCLRP / USP. (AU)