Stationary compressible Navier-Stokes equations with inflow boundary conditions.

Speaker(s)

Tomasz Piasecki

Affiliation

Uniwersytet Warszawski

Date

Jan. 15, 2015, 12:30 p.m.

Room

room 4060

Seminar

Seminar of Mathematical Physics Equations Group

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Abstract:
I will discuss recent results in the theory of compressible flows described
by Navier-Stokes equations focusing on problems with inhomogeneous boundary
data admitting inflow and outflow through the boundary.
Admission of inflow /outflow leads to substantial mathematical difficulties.
In particular there are no general existence results in the stationary
case in such situation what motivates investigation of small data problems
and simplified models.

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