Organizers

prof. dr hab. Grzegorz Łukaszewicz

Information

Thursdays, 12:30 p.m. , room: 5070

Research fields

Mathematical Physics and Applied Analysis

List of talks

Oct. 29, 2020, 12:30 p.m.
Tomasz Piasecki (IMSiM)
A maximal regularity approach to compressible mixtures"
Join Zoom Meeting https://us02web.zoom.us/j/81583752461?pwd=c2xXN0hoQVBVc2JLNmNYRHkxTzV4UT09 Meeting ID: 815 8375 2461 Passcode: 495149 -------------------------------------------------------------------------------------------------------------- I will present recent results obtained in collaboration with Yoshihiro Shibata and Ewelina Zatorska. We investigate the well posedness of …
Oct. 15, 2020, 12:30 p.m.
Gustavo Abade (Instytut Geofizyki FUW UW)
Turbulent clustering of low-inertia droplets
Several effects of turbulence may reduce the time for rain initiation in warm (ice-free) atmospheric clouds. This talk overviews the effect of turbulent clustering of inertial droplets that interact hydrodynamically. Using the so-called drift-diffusion model (based on the Master …
March 12, 2020, 12:30 p.m.
Jakub Gałecki (Politechnika Warszawska)
Adjoint-Based Optimal Control of Incompressible Flows with Energy-Stable Boundary Conditions
Problems arising in computational fluid dynamics often require artificially truncating the domain and posing appropriate open boundary conditions. However, these are known to suffer from backflow instability – when the flow at the boundary reverses, …
March 5, 2020, 12:30 p.m.
prof. Wojciech Zajączkowski (IMPAN)
The Ladyzhenskaya-Serrin condition for regular solutions of the Navier-Stokes eguations
Jan. 23, 2020, 12:30 p.m.
Wojciech Górny (doktorant MIM)
Structure of solutions to the least gradient problem
In the least gradient problem with discontinuous boundary data, the solutions may fail to be unique. However, they often share a similar structure. In this talk, I will discuss the geometrical reasons for this phenomenon, …
Jan. 16, 2020, 12:30 p.m.
Piotr Kokocki (UMK Toruń)
Total integrals of solutions for inhomogeneous Painlevé II equation
We establish a formula determining the value of the Cauchy integrals for the real and purely imaginary Ablowitz-Segur solutions for the inhomogeneous second Painlevé equation. Our approach relies on the Deift-Zhou steepest descent analysis of the corresponding …
Dec. 19, 2019, 12:30 p.m.
dr Maciej Lisicki (Wydzial Fizyki UW)
Pumping and swimming: two faces of phoretic flows
Janus particles with the ability to move phoretically in self-generated chemical concentration gradients are model systems for active matter. On the other hand, chemically active surfaces can lead to microscale flow generation, bacoming an effective …
Dec. 5, 2019, 12:30 p.m.
Łukasz Chomienia (doktorant MIM)
Energy conservation for the compressible Euler system
We prove the local energy equality for the isentropic compressible Euler equations under the assumption of the Besov regularity in space and the Bochner integrability in time. We show that this result can be established …
Nov. 28, 2019, 12:30 p.m.
Jakub Siemianowski (UMK Toruń)
Systems of elliptic PDEs on R^N
We consider the system of second-order elliptic equations with the nonlinear term depending on the solution and its first-order derivatives on whole R^N. In order to solve it, firstly, we investigate auxiliary systems on large …
Nov. 21, 2019, 12:30 p.m.
Piotr Kalita (UJ)
Rigorous numerical integration of PDEs by means of Finite Element Method
I will present the results on the attractor structure for problems governed by PDEs. I will demonstrate that the approach based on rigorous numerical simulations and Finite Element Method makes it possible to find the …
Nov. 14, 2019, 12:30 p.m.
Grzegorz Łukaszewicz (MIM)
An analogy between electromagnetism and hydrodynamics. Maxwell and Euler equations.
Analogy is a powerful tool of discovery. James Clerk Maxwell, in particular, used certain analogies between hydrodynamics and electromagnetism to better understand the nature of the electromagnetic field. In this talk I shall present …
Nov. 7, 2019, 12:30 p.m.
Cristiana De Filippis (University of Oxford)
Double phase problems
The double phase energy \int_{\Omega} |Dw|^p+a(x) |Dw|^q dx is probably the most extreme example of non-homogeneous structure exhibiting different degeneration rates while simultaneously depending on the space variable. Introduced by V. V. Zhikov in order …
Oct. 24, 2019, 12:30 p.m.
Mikołaj Sierżęga (IMSiM)
On triviality of solutions for a generalised Giga-Kohn equation
Giga-Kohn equation is a particular semilinear elliptic equation of Ornstein-Uhlenbeck type that plays a central role in the description of singularities for the Fujita equation - the semilinear heat equation with power law nonlinearity. In …
Oct. 17, 2019, 12:30 p.m.
Wojciech Szkółka (doktorant Instytutu Geofizyki PAN)
Equatorial Kelvin waves – theory and observations.
The atmosphere is an area of occurrence of phenomena of different spatial scales - from small (about 1mm) to large (about 10 000km). Therefore, different approximations are used to describe its dynamics, depending on the …
Oct. 10, 2019, 12:30 p.m.
Kamila Łyczek (doktorantka MIM)
On differentiability of solutions to the nonlinear transport equation in bounded Radon measures
We consider the nonlinear transport equation in the space of bounded Radon measures. Amongst its applications are structure population model or crowd dynamics. Previous results concerning this type of equations do not allow us to …