Renginiai

The speaker: Professor Jiri Neustupa (Institute of Mathematics, The Czech Academy of Sciences, Prague, Czech Republic)

Title of the talk: “New regularity criteria for weak solutions to the MHD equations in terms of an associated pressure”.

Time: Thursday, 15 of April 2021, 16:00 - 17:00.

Abstract

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.

2021 m. gegužės 19 d. 15 val. VU Matematikos ir informatikos fakulteto 102 auditorijoje (Naugarduko g. 24) vyks Roko Gylio matematikos krypties disertacijos viešas gynimas.

Disertacijos tema – “Application of Lee-Carter mortality projection model and its modifications in modelling of solvency capital of insurance company” (liet. „Lee ir Carterio mirtingumo prognozavimo modelis ir jo modifikacijos draudimo įmonės mokumui skaičiuoti“).

Mokslinis vadovas – prof. dr. Jonas Šiaulys.

Pageidaujančius dalyvauti disertacijos gynime nuotoliniu būdu kviečiame jungtis per MS Teams platformą adresu: https://teams.microsoft.com/l/team/19%3a708f595f105b48c195d757ca30707b3c%40thread.tacv2/conversations?groupId=ba7b7d01-e901-4f86-9eee-d09bf0c09f52&tenantId=82c51a82-548d-43ca-bcf9-bf4b7eb1d012

The speaker: Professor Pavel Plotnikov (Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia)

Title of the talk: “Concentrations and singularities of solutions to the Navier-Stokes equations of compressible isentropic flows”.

Time: Thursday, 8 of April 2021, 15:00 - 16:00.

Abstract. The talk is devoted to the theory of weak solutions to compressible Navier-Stokes equation with critical and subcritical adiabatic constants. In 2001, Feireisl, Novotny, and Petzeltova proved the existence of globally defined weak solutions to the Navier-Stokes equations of compressible isentropic flows in the three space dimension on condition that the adiabatic constant is greater than critical value 3/2. The critical and subcritical cases are still poor investigated. The main difficulty lies in the fact that in the critical and subcritical cases, the finite energy can be concentrated on sets of arbitrarily small measure. This leads to the so-called concentration problem. In the present work, we prove the absence of concentrations of the kinetic energy tensor in the critical case. We also give the derivation of estimates of non-stationary potentials of the pressure function. These estimates allow us to estimate from below the Hausdorff dimension of the support of the concentrations-defect measure. The case of rotationally symmetric solutions with adiabaticconstant equals 1 is studied in details. In this case we prove that the concentrations-defect measure of the kinetic energy tensor is a matrix-valued measure, which is concentrated on the symmetry axis and depends only on the time variable. In particular, the divergence of the concentrations-defect measure equals zero.

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 Anvarbek Meirmanov (National Research University "Higher School of Economics", Moscow, Russia)

Title of the talk: “Mathematical models of oil reservoir.”

Time: Thursday, 25 of March 2021, 15:00 - 16:00.

Abstract. This report is devoted to mathematical models of displacement of oil by some suspension in rocks during oil production. Mathematical models of the oil reservoir are very important from both theoretical and practical points of view. So far, one of the most popular such models is the Backley-Leverett model [1]. Probably, the next known model could be the Muskat problem [2]. Each of these models is a phenomenological mathematical model. That is, it describes the physical process at the macroscopic level, where the characteristic size of the domain under consideration is several meters. We discuss existing phenomenological models of oil reservoir and suggest new exact mathematical models based on ideas R. Barridge and J. Keller [3] and E. Sanchez-Palencia [4] (mathematical modelling) and G. Nguetseng [5] (homogenization). Finally, we illustrate our results with some numerical implementations for one-porosity geometries and compare obtained results for different mathematical models.

1. S.E. Buckley and M.C. Leverett, 1942, Mechanism of fluid displacements in sands, Transactions of the AIME, v.146, pp. 107-116.
2. M. Muskat, Two fluid systems in porous media. The encroachment of water into an oil sand, Physics, 5, 1934.
3. R. Barridge and J. Keller, Poroelasticity equations derived from microstructure, J. Acoust. Soc. Am., V. 70, issue 4, 1981.
4. E. Sanchez-Palencia, Non-homogeneous media and vibration theory, Lecture Notes in Phys., 127, Springer-Verlag, Berlin–New York, 1980.
5. G. Nguetseng, A general convergence result for a functional related to the theory of homogenization, SIAM J. Math. Anal., V. 20, issue 3, 1989, 608 - 623.

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 Andrea Cianchi (University of Florence)

Title of the talk: “Symmetric gradient Orlicz-Sobolev spaces.”

Time: Thursday, 18 of March 2021, 15:00 - 16:00.

Abstract. A unified approach to embedding theorems for Sobolev type spaces of vector-valued functions, defined via their symmetric gradient, is proposed. The Sobolev spaces in question are built upon general rearrangement-invariant norms. Optimal target spaces in the relevant embeddings are determined within the class of all rearrangement-invariant spaces. In particular, all symmetric gradient Sobolev embeddings into rearrangement-invariant target spaces are shown to be equivalent to the corresponding embeddings for the full gradient built upon the same spaces. A sharp condition for embeddings into spaces of uniformly continuous functions, and their optimal targets, are also exhibited. By contrast, these embeddings may be weaker than the corresponding ones for the full gradient. Related results, of independent interest in the theory of symmetric gradient Sobolev spaces, are established. They include global approximation and extension theorems under minimal assumptions on the domain. A formula for the K-functional, which is pivotal for our method based on a reduction to one-dimensional inequalities, is provided as well. The case of symmetric gradient Orlicz-Sobolev spaces, of use in mathematical models in continuum mechanics driven by nonlinearities of non-power type, is especially focused. This is joint work with Dominic Breit.

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 Hideo Kozono, Waseda University, Tokyo

Title of the talk: “L^r-Helmholtz-Weyl decomposition in two dimensional exterior domains”

Time: Thursday, 11 of March 2021, 15:00 - 16:00.

Abstract.

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 Maria Agostina VIVALDI, “SAPIENZA" UNIVERSITA DI ROMA

Title of the talk: “SAND PILES MODELS AND NON-LINEAR DIFFUSION EQUATIONS”

Time: Thursday, 4 of March 2021, 15:00 - 16:00.

Abstract: In this talk we deal with theoretical and numerical aspects of evolution and time behaviour of solutions to nonlinear diffusion equations describing the dynamics of self-organizing sandpile process with critical state.

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 Jan Kristensen, University of Oxford

Title of the talk: “Gårding inequalities and their impact on regularity and uniqueness.”

Time: Thursday, 25 of February 2021, 15:00 - 16:00.

Abstract: Minimizers of strongly quasiconvex variational integrals need not be regular nor unique. However, if a suitable Gårding type inequality is assumed for the variational integral, then both regularity and uniqueness of minimizers can be restored under natural smallness conditions on the data. In turn, the Gårding inequality turns out to always hold under an a priori C1 regularity hypothesis on the minimizer, while its validity is not known in the general case. In this talk, we discuss these issues and how they are naturally connected to convexity of the variational integral on the underlying Dirichlet classes. The talk is based on joint work with Judith Campos Cordero, Bernd Kirchheim and Jan Kolar.

ZOOM link

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 see Past Talks section.

We sincerely hope you will be able to participate.