Renginiai

The speaker: Dr. Xiao Ren (Fudan University)

Title of the talk:“Leray's plane stationary solutions have the prescribed limit at infinity in the case of small Reynolds numbers”.

Time: Thursday, 13 of May 2021, 16:00 - 17:00.

Abstract. In the celebrated 1933 paper, J. Leray proposed the invading domains method to construct D-solutions for the stationary Navier-Stokes flow around obstacle problem. In two dimensions, whether Leray's D-solution achieves the prescribed limiting velocity at spatial infinity became a major open problem since then. In this paper, we solve this problem at small Reynolds numbers. The proof builds on a novel blow-down argument which rescales the invading domains to the unit disc, and the ideas developed in a recent paper [Korobkov-Pileckas-Russo2020], where the nontriviality of Leray solutions in the general case was proved, and [Korobkov-Ren-2021], where the uniqueness result for small Reynolds number was established. The talk is based on a joint work with M.Korobkov.

ZOOM link:

https://us02web.zoom.us/j/83673138944?pwd=azQyc1BwUjJFY3VjMStLbFR5Z2VwUT09

ZOOM Id: 836 7313 8944

Passcode: 808818

We are pleased to inform you that the information on previous talks is available on the seminar web page https://researchseminars.org/seminar/Cafe_Analysis_and_Fluid see Past Talks section.

Organizing Committee: Professors Zhen Lei, Mikhail Korobkov, Adele Ferone, Remigio Russo and Konstantin Pileckas.

This seminar is organized by Fudan University (Shanghai, China) with the collaboration of Universita degli studi della Campania "Luigi Vanvitelli" (Caserta, Italy) and Vilnius University (Vilnius, Lithuania). This seminar is meant to gather renowned experts working on Geometric and Real Analysis with applications to PDEs and Mathematical Physics and represents an opportunity for presenting high-impact research, as well as facilitating the exchange of ideas between researchers.

Gegužės 10 d. 12.30 – 14.00 sistemų analizės seminare bus pristatomos ir svarstomos disertacijos:

Julius Venskus „Dalinai prižiūrimų ir neprižiūrimų mašininio mokymosi metodų tyrimas jūrų eismo anomalijoms aptikti“,
Andrius Daranda „Dirbtinio intelekto metodų panaudojimas saugiai laivybai užtikrinti“.

Plačiau apie seminarą

Kviečiame 2021 m. gegužės 14 d. dalyvauti konferencijoje ir pasiklausyti magistrantų pristatomų pranešimų. Konferencijos nuoroda https://bit.ly/3vVpJgD

PROGRAMA

The speaker: Professor Eduard Feireisl (Institute of Mathematics of the Academy of Sciences of the Czech Republic; Institute of Mathematics, Technische Universitat Berlin)

Title of the talk:“Obstacle problem, Euler system, and turbulence”.

Time: Thursday, 6 of May 2021, 16:00 - 17:00.

Abstract. We consider a statistical limit of solutions to the compressible Navier-Stokes system in the high Reynolds number regime in a domain exterior to a rigid body. We investigate to what extent this highly turbulent regime can be modeled by an external stochastic perturbation, as suggested in the related physics literature. To this end, we interpret the statistical limit as a stochastic process on the associated trajectory space. We suppose that the limit process is statistically equivalent to a solution of thestochastic compressible Euler system. Then, necessarily,

(a) the stochastic forcing is not active - the limit is a statistical solution of the deterministic Euler system;

(b) the solutions S-converge to the limit;

(c) if, in addition, the expected value of the limit process solves the Euler system, then the limit is deterministic and the convergence is strong in the L^p-sense.

These results strongly indicate that a stochastic forcing may not be a suitable model for turbulent randomness incompressible fluid flows.

ZOOM link:

https://us02web.zoom.us/j/83673138944?pwd=azQyc1BwUjJFY3VjMStLbFR5Z2VwUT09

ZOOM Id: 836 7313 8944

Passcode: 808818

We are pleased to inform you that the information on previous talks is available on the seminar web page https://researchseminars.org/seminar/Cafe_Analysis_and_Fluid see Past Talks section.

Organizing Committee: Professors Zhen Lei, Mikhail Korobkov, Adele Ferone, Remigio Russo and Konstantin Pileckas.

This seminar is organized by Fudan University (Shanghai, China) with the collaboration of Universita degli studi della Campania "Luigi Vanvitelli" (Caserta, Italy) and Vilnius University (Vilnius, Lithuania). This seminar is meant to gather renowned experts working on Geometric and Real Analysis with applications to PDEs and Mathematical Physics and represents an opportunity for presenting high-impact research, as well as facilitating the exchange of ideas between researchers.

The speaker: Professor Antonin Novotny (University of Toulon, IMATH, France)

Title of the talk: “On the weak solvability of some compressible bi-fluid models with general in/out-flow boundary data”.

Time: Thursday, 29 of April 2021, 16:00 - 17:00.

Abstract. We will discuss the existence of weak solutions for some simple models of mixtures of several compressible viscous and non-interacting fluids. A particular attention in this talk will be devoted to the explanation of the role played by the pure transport and continuity equations in the existence proof.

ZOOM link:
https://us02web.zoom.us/j/83673138944?pwd=azQyc1BwUjJFY3VjMStLbFR5Z2VwUT09

ZOOM Id: 836 7313 8944
Passcode: 808818

We are pleased to inform you that the information on previous talks is available on the seminar web page https://researchseminars.org/seminar/Cafe_Analysis_and_Fluid see Past Talks section.

Organizing Committee: Professors Zhen Lei, Mikhail Korobkov, Adele Ferone, Remigio Russo and Konstantin Pileckas.

This seminar is organized by Fudan University (Shanghai, China) with the collaboration of Universita degli studi della Campania "Luigi Vanvitelli" (Caserta, Italy) and Vilnius University (Vilnius, Lithuania). This seminar is meant to gather renowned experts working on Geometric and Real Analysis with applications to PDEs and Mathematical Physics and represents an opportunity for presenting high-impact research, as well as facilitating the exchange of ideas between researchers.

The speaker: Professor Toshiaki Hishida (Nagoya University, Japan)

Title of the talk: “Optimal boundary control for steady motions of a self-propelled body in a viscous incompressible fluid”.

Time: Thursday, 22 of April 2021, 16:00 - 17:00.

Abstract. Consider steady motions of a self-propelled rigid body into an infinite viscous incompressible fluid in 3D. We say that a body undergoes a self-propelled motion if the external force and external torque acting on fluid-body are zero so that the body moves only by a mechanism produced by itself at the boundary through fluid-body interaction. Given translational and angular velocities being assumed to be small, we show the existence of many boundary controls subject to a physically relevant side condition (such as tangential control or localized control) which generate the self-propelled motion of the body with target velocity and then discuss minimization of the work to overcome the drag. We next derive a necessary condition for optimal boundary control in terms of a variational inequality, where the adjoint state associated with the optimal control is involved as a Lagrange multiplier. This talk is based on a joint work with Ana Silvestre (Lisbon) and Takeo Takahashi (Nancy).

ZOOM link:
https://us02web.zoom.us/j/83673138944?pwd=azQyc1BwUjJFY3VjMStLbFR5Z2VwUT09

ZOOM Id: 836 7313 8944
Passcode: 808818

We are pleased to inform you that the information on previous talks is available on the seminar web page https://researchseminars.org/seminar/Cafe_Analysis_and_Fluid see Past Talks section.

Organizing Committee: Professors Zhen Lei, Mikhail Korobkov, Adele Ferone, Remigio Russo and Konstantin Pileckas.

This seminar is organized by Fudan University (Shanghai, China) with the collaboration of Universita degli studi della Campania "Luigi Vanvitelli" (Caserta, Italy) and Vilnius University (Vilnius, Lithuania). This seminar is meant to gather renowned experts working on Geometric and Real Analysis with applications to PDEs and Mathematical Physics and represents an opportunity for presenting high-impact research, as well as facilitating the exchange of ideas between researchers.

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