OREGON STATE UNIVERSITY
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The inviscid limit of the incompressible Navier-Stokes equations

Event Detail

Event Type: 
Applied Mathematics and Computation Seminar
Date/Time: 
Friday, January 13, 2012 - 04:00
Location: 
GLK 113

Speaker Info

Local Speaker: 
Abstract: 

We consider solutions of the incompressible Navier-Stokes and Euler equations in the plane with bounded, nondecaying vorticity.  Under these assumptions we show that as viscosity approaches zero, finite energy solutions of the Navier-Stokes equations converge to the solution of the Euler equations uniformly in space, where convergence holds on any finite time interval.  We also study the case where velocity is bounded and does not necessarily decay at infinity, and we establish a similar short time convergence result.