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Research Seminars: PDE

Spring 2014

Time & Location: All talks are on Thursdays in Gibson 325,12 noon to 2 PM unless otherwise noted.

Organizer: Kun Zhao


February 20

Vanishing Viscosity Limit of Navier-Stokes Equations

Kun Zhaotulane university

Abstract:

"One of the fundamental systems governing the motion of fluids like air and water under normal conditions is the Navier-Stokes equations (NSE) for incompressible homogeneous Newtonian fluids. For realistic fluids like air and water, the kinematic viscosity is very small and hence we may formally set it to zero and arrive at the Euler system for incompressible inviscid (dry) fluids. The natural question is then whether such an approximation can be justified via the zero viscosity limit of the Navier-Stokes equations. The vanishing viscosity limit of the NSE has been rigorously justified when there is no physical boundary or when the boundary condition is periodic. However, in the physically interesting case where there exist physical boundaries, and hence the fluid velocity is specified at the physical boundary, the problem of vanishing viscosity limit is essentially open."




February 27

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March 13

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March 20

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March 27

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April 3

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April 10

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April 17

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April 24

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Mathematics Department, 424 Gibson Hall, New Orleans, LA 70118 504-865-5727 math@math.tulane.edu