[Dottorcomp] Seminari di Matematica Applicata. Martedì 30 gennaio. Eduard Feireisl e Martin Kružík.

Stefano Lisini stefano.lisini a unipv.it
Gio 25 Gen 2024 17:32:41 CET


Seminari di Matematica Applicata, Dipartimento di Matematica "F. Casorati"
e Istituto del CNR IMATI "E. Magenes" di Pavia.

Martedì 30 gennaio 2024, alle ore 14.15 precise, presso l'aula Beltrami del
Dipartimento di Matematica,

Eduard Feireisl (Institute of Mathematics, Czech Academy of Sciences,
Prague)terrà un seminario dal titolo:

Unconditional stability of equilibria in thermally driven compressible
fluids

e alle ore 15.15 precise,

Martin Kružík (Institute of Information Theory and Automation, Czech
Academy of Sciences, Prague)
terrà un seminario dal titolo:

Non-interpenetration of matter in lower-dimensional structures

I seminari verranno anche trasmessi in diretta su zoom.

Link Zoom:
https://us02web.zoom.us/j/87518137128?pwd=eHg2eG9QZUdydFJEU1NESWN5a1lPQT09
<https://us02web.zoom.us/j/87518137128?pwd=eHg2eG9QZUdydFJEU1NESWN5a1lPQT09>


Abstract (Feireisl). We show that small perturbations of the spatially
homogeneous equilibrium of a thermally driven compressible viscous fluid
are globally stable. Specifically, any weak solution of the
evolutionary Navier–Stokes–Fourier system driven by thermal convection
converges to an equilibrium as time goes to infinity. The main difficulty
to overcome is the fact the problem does not admit any obvious Lyapunov
function. The result applies, in particular, to the Rayleigh–Benard
convection problem.

Joint work with Yong Lu, Nanjing.

Abstract (Kružík). Non-interpenetration of matter is a well-known challenge
for solid elastic materials combining analytical and geometrical aspects.
In the bulk model, at least on the conceptual level, non-interpenetration
is quite understood even if many challenges still remain open. In
lower-dimensional structures (plates, rods), the situation seems to be even
less clear. Focusing on rods in the plane, we will introduce a possible
concept of noninterpenetration and show density and Gamma-limit results in
this case. This is a joint work in progress with B. Benešová, D. Campbell,
and S. Hencl (all from Prague).

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Pagina web dei Seminari di Matematica Applicata
https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/
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