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Boundary layer problem: Navier-Stokes equations and Euler equations

GFM seminar

IIIUL, B3-01

2011-11-22 15:00 .. 16:00

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by Fernanda Cipriano (GFMUL / Departamento de Matemática, FCTUNL, Portugal)

We consider the flow of an incompressible viscous fluid in a 2D-bounded domain, with flux through the boundary. The flow is described by the Navier-Stokes equations with a non-homogeneous boundary condition also known as Yudovich condition.

We prove that the vanishing viscosity limit of the solutions of the Navier-Stokes equations is a solution of the Euler equations satisfying the Yudovich condition on the inflow region of the boundary.

This is a joint work with Nikolai Chemetov.

Past conference highlights: Symmetries in Quantum Physics 2017; Advances in Mathematical Fluid Mechanics, Stochastic & Deterministic Methods; Quantum Integrable Systems and Geometry; Chern-Simons Gauge Theory: 20 years after; Second Workshop on Quantum Gravity and Noncommutative Geometry; Infinite Dimensional Algebras and Quantum Integrable Systems II; Stochastic Analysis in Mathematical Physics; Mathematics in Chemistry; Geometric Aspects of Integrable Systems; ICMP 2003