[Dottorcomp] Fwd: Avviso di seminario

[Stefano Lisini]

Segnalo questo seminario online organizzato dal Politecnico di Milano.

Cordiali saluti,
Stefano Lisini.

Inizio messaggio inoltrato:

Si avvisa che in data 24/3/2021, alle ore 15:15 precise, Url: link
<https://polimi-it.zoom.us/j/87365124649?pwd=SjZOcDgrQU9qUGZCM3FZRmxCTUhlUT09>
, nell'ambito delle iniziative della sezione di Analisi, si svolgerà il
seguente seminario:

Explicit bounds for the generation of a lift force exerted by steady-state
Navier-Stokes flows over a fixed obstacle
Gianmarco Sperone, Dept. of Mathematical Analysis, Faculty of Mathematics
and Physics, Charles University in Prague
We analyze the steady motion of a viscous incompressible fluid in a two-
and three-dimensional channel containing an obstacle through the
Navier-Stokes equations under different types of boundary conditions. In
the 2D case we take constant non-homogeneous Dirichlet boundary data in a
(virtual) square containing the obstacle, and emphasize the connection
between the appearance of lift and the unique solvability of Navier-Stokes
equations. In the 3D case we consider mixed boundary conditions: the inflow
is given by a fairly general datum and the flow is assumed to satisfy a
constant traction boundary condition on the outlet. In the absence of
external forcing, explicit bounds on the inflow velocity guaranteeing
existence and uniqueness of such steady motion are provided after
estimating some Sobolev embedding constants and constructing a suitable
solenoidal extension of the inlet velocity. In the 3D case, this solenoidal
extension is built through the Bogovskii operator and ex! plicit bounds on
its Dirichlet norm (in terms of the geometric parameters of the obstacle)
are found by solving a variational problem involving the
infinity-Laplacian. The talk accounts for results obtained in collaboration
with Filippo Gazzola and Ilaria Fragalà (both at Politecnico di Milano)
Link:
https://polimi-it.zoom.us/j/87365124649?pwd=SjZOcDgrQU9qUGZCM3FZRmxCTUhlUT09
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