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Sem. Równań Fiz. Mat.

 

Approximation of the shape of rigid obstacle in a viscous fluid


Prelegent: Sadokat Malikova

2021-05-20 12:30

We  analyze a model based on the classical Navier-Stokes system describing a flow through an obstacle.The goal is to approximate the obstacle by an area with high viscosity. In such situation we obtain an elliptic problem with discontinuous coefficients. From the mathematical perspective one of  the main difficulties is to show a pointwise bound on the gradient of the flow.

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