Existence and asymptotic behavior for flows of Navier-Stokes fluids under rotational influences

• Grant number: 11/00334-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: June 01, 2011
• End date: May 31, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Lucas Catão de Freitas Ferreira
• Grantee: Marcelo Fernandes de Almeida
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 09/13838-7 - Qualitative and geometric properties of partial differential equations, AP.TEM

Abstract

In this project we consider the Navier-Stokes equations associated to two problems, where the fluid is influenced by rotation effects. The first one considers the Coriolis force and the second models the Navier-Stokes flow around a rotating obstacle with a certain angular velocity. We are interested in issues such as existence, stability of steady solutions, asymptotic behavior, and in studying the influence of the rotation speed on properties of solutions. We intend to address the equations in singular spaces such as those of Morrey and Lebesgue locally uniform, and obtain new solutions and conditions for their stability.

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)

DE ALMEIDA, MARCELO FERNANDES; FERREIRA, LUCAS C. F.. On the local solvability in Morrey spaces of the Navier-Stokes equations in a rotating frame. Journal of Mathematical Analysis and Applications, v. 405, n. 2, p. 362-372, SEP 15 2013. (11/00334-0)