Boundary layers in incompressible flows

• Grant number: 08/09473-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: April 01, 2009
• End date: March 31, 2010
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Milton da Costa Lopes Filho
• Grantee: Dongjuan Niu
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 07/51490-7 - Mathematical aspects of incompressible fluid dynamics, AP.TEM

Abstract

The purpose of this pos-doctoral project is to investigate questions related to the broad issue of boundary layers and vortex dynamics, with a special concern with geophysical flows. More precisely, we are interested in certain fluid dynamical models, such as the Euler and Navier-Stokes equations with Coriolis-type forcing terms, the primitive system and the lake equations, specially the vanishing viscosity limit for these for these equations in the abscence of boundaries or with Navier-type boundary conditions.

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)

JIU, QUANSEN; LOPES FILHO, MILTON C.; NIU, DONGJUAN; NUSSENZVEIG LOPES, HELENA J.. The limit of vanishing viscosity for the incompressible 3D Navier-Stokes equations with helical symmetry. PHYSICA D-NONLINEAR PHENOMENA, v. 376, n. SI, p. 238-246, AUG 1 2018. (08/09473-0)

JIU, QUANSEN; LOPES FILHO, MILTON C.; NIU, DONGJUAN; NUSSENZVEIG LOPES, HELENA J.. The limit of vanishing viscosity for the incompressible 3D Navier-Stokes equations with helical symmetry. PHYSICA D-NONLINEAR PHENOMENA, v. 376, p. 9-pg., 2018-08-01. (08/09473-0)