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홈 > 학술정보 >학술행사 > 세미나
KAIST PDE 세미나

Title
Boundary layers and vanishing viscosity limit of the Navier-Stokes equations
Speaker
Gung-Min Gie   (Univ. Louisville )
Date
2017-05-16 16:00:00
Host
KAIST
Place
Room 3221 of Bldg. E2
Abstract
We discuss the asymptotic behavior, at a small viscosity, of solutions to some fluid equations related to the Navier-Stokes equations. The model equations, we consider in this talk, are either supplemented with the Navier-slip type boundary conditions, or simplified under some special symmetries or linearized when the no-slip boundary condition is imposed. By explicitly constructing the boundary layer correctors, which approximate the differences between the viscous and inviscid solutions, we validate the smallness of our asymptotic expansions with respect to the viscosity parameter, and prove the vanishing viscosity limit with the optimal rates of convergence.
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