A study of fluid dynamics and its relationship with fractional in time derivatives

• Grant number: 13/00594-8
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: June 01, 2013
• End date: February 18, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Gabriela Del Valle Planas
• Grantee: Paulo Mendes de Carvalho Neto
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

Motivated by the success of the applications in many areas of science and engineering and important physical phenomena, in this project we attempt to study some questions concerning problems in fluid dynamics and their relationship with fractional in time derivatives. In particular, we are interested in studying the existence and properties of solutions to some fractional fluid dynamics equations.

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)

CARVALHO NETO, P. M.; LIBONI FILHO, P. A.. A mean value theorem for metric spaces. Mathematische Nachrichten, v. 288, n. 5-6, p. 509-524, APR 2015. (13/00594-8)

DE CARVALHO-NETO, PAULO MENDES; PLANAS, GABRIELA. Mild solutions to the time fractional Navier-Stokes equations in R-N. Journal of Differential Equations, v. 259, n. 7, p. 2948-2980, OCT 5 2015. (13/00594-8)