Mechanics Colloquium

 

PROGRAM

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MATEMATIČKI INSTITUT SANU
ODELJENJE ZA MEHANIKU

PROGRAM ZA OKTOBAR 2024.

 

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Predavanja se mogu pratiti na daljinu preko stranice:
https://miteam.mi.sanu.ac.rs/asset/YfY2cZTcN3YwGqFjc
Ukoliko želite da učestvujete u radu seminara ili da postavite pitanja na kraju predavanja, a još niste registrovani na miteam platformi Matematičkog instituta, možete se registrovati popunjavanjem forme:
https://miteam.mi.sanu.ac.rs/asset/o9cuDZYqrq7jvFxw8
Arhiva snimljenih predavanja se nalazi na stranici:
https://miteam.mi.sanu.ac.rs/asset/j9rAJJvBQHx2zgSSH

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Pozivamo Vas da učestvujete u radu sednica Odeljenja i to:

Sreda, 16.10.2024. u 18:00, Kneza Mihaila 36, sala 301f i Online
Voja Radovanović, Fizički fakultet, Univerzitet u Beogradu
BV KVANTIZACIJA 'BRAIDED' KVANTNE TEORIJE POLJA
U ovom predavanju bavićemo se braided nekomutaivnim teorijama polja. Mi smo do sada analizirali spinorsku i skalarnu kvantnu elektrodinamiku, kao i $\phi^3-$ teoriju. Klasična dinamika ovih teorija je formulisana u okviru L_\infty algebri, dok smo ih kvantovali primenom algebarskog BV formalizma. Jedan od osnovnih elemenata pri računanju korelacionih funkcija je homološka petrubaciona lema, koju ćemo detaljno izložiti. U analiziranim modelima ne dolazi do UV/IC mešanja divergencija.

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Četvrtak 24.10.2024. u 17:15, Kneza Mihaila 36, sala 301f i Online
Zoran Grujić, The University of Alabama at Birmingham
SPATIAL INTERMITTENCY AND TURBULENT DISSIPATION IN 3D VISCOUS AND HYPER-VISCOUS NAVIER-STOKES FLOWS
The problem of whether a singularity can form in an initially smooth viscous, incompressible flow described by the homogeneous (no external force) 3D Navier-Stokes (NS) equations has been a fundamental open problem in mathematical physics. A key obstacle to progress has been super-criticality of the system, i.e., there is a scaling gap between the energy level and the scaling invariant level. A manifestation of this super-criticality can be seen in the realm of the hyper-viscous flows described by the hyper-dissipative (HD) NS system. Here, the negative Laplacian is replaced by the negative Laplacian to the power (say beta) greater than 1. It has been known since the fundamental work of J.L. Lions in 1960s that the HD NS system is regular for any beta greater or equal to 5/4, while what happens in the super-critical regime (1 < beta < 5/4) has remained a mystery. (At 5/4, the energy level and the scaling-invariant level coincide.)
The main goal of this lecture is to present a novel mathematical framework suitable for encoding the spatial intermittency of turbulent flows and the mechanism of turbulent dissipation for the purpose of the analysis of the possible singularity formation in the NS and HD NS flows. In particular, mathematical evidence of criticality of the NS dissipation (beta = 1) will be given – namely, the approximately self-similar blow-up (a prime candidate for the formation of a singularity) is ruled out as soon as beta is greater than 1.
Zajednička sednica sa Odeljenjem za matematiku i Seminarom iz geometrije

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Predavanja su namenjena širokom krugu slušalaca, uključujući studente redovnih i doktorskih studija. Održavaju se sredom sa početkom u 18 sati u sali 301f na trećem spratu zgrade Matematičkog instituta SANU, Knez Mihailova 36.

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