Analysis of the dynamics of rigid bodies immersed in an incompressible fluid

• Grant number: 13/00048-3
• Support Opportunities: Scholarships abroad - Research
• Start date: September 01, 2013
• End date: February 28, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Gabriela Del Valle Planas
• Grantee: Gabriela Del Valle Planas
• Host Investigator: James Cooper Robinson
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Institution abroad: University of Warwick, England

Abstract

The research project involves the theoretical analysis of the dynamics of rigid bodies immersed in an incompressible fluid. More precisely, it deals with the study of the dynamic of systems involving the interaction of fluids and particles or rigid bodies. We will be interested in systems with several rigid bodies and the study of the asymptotic behaviour of solutions, when the diameter of the bodies tends to zero. We would also like to investigate, in the case where there is no collision, the asymptotic behavior of solutions for long times. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CHIPOT, MICHEL; DRONIOU, JEROME; PLANAS, GABRIELA; ROBINSON, JAMES C.; XUE, WEI. Limits of the Stokes and Navier-Stokes equations in a punctured periodic domain. ANALYSIS AND APPLICATIONS, v. 18, n. 2, p. 211-235, MAR 2020. (13/00048-3)