You are not logged in |
Weekly research seminar
Organizers
Information
Thursdays, 12:30 p.m. , room: 5070Home page
https://apde.mimuw.edu.pl/Research fields
List of talks
-
Nov. 5, 2026, 12:30 p.m.
Erik Hupp (University of Vienna)
On a parabolic curvature lower bound generalizing Ricci flows
This talk investigates a connection between two objects of central interest in geometric analysis: (1) Ricci flows (introduced and developed by Hamilton, with powerful analytic tools established later by Perelman); (2) metric-measure spaces satisfying a …
-
Oct. 29, 2026, 12:30 p.m.
Tommaso Bertin (IMPAN)
Lavrentiev Phenomenon and integral representation of the lower semi-continuous envelope for functionals with non convex and non continuous Lagrangians
In this seminar, we investigate classical integral functionals in the Calculus of Variations and study conditions on the Lagrangian that guarantee the absence of the Lavrentiev Phenomenon. In particular, we focus on Lagrangians that are …
-
Oct. 22, 2026, 12:30 p.m.
Shrish Parmeshwar
Global-in-time Vortex Configurations for the 2D Euler Equations
A long-standing topic of interest is to understand the desingularization problem in vortex dynamics for the incompressible 2D Euler equations: solutions of the system that approximate point vortices in the sense that the vorticity of …
-
Oct. 15, 2026, 12:30 p.m.
Tomasz Cieślak (IMPAN)
Prandtl spirals revisited
Prandtl spirals were introduced by Prandtl as a model of a vortex detaching from the tip of a wing when the plane takes off. Until very recently it was not clear what is the status …
-
May 7, 2026, 12:30 p.m.
Tomasz Piasecki (MIM UW)
Free Boundary Problems for incompressible and inhomogeneous Navier-Stokes equations
The talk will be based on my recent joint work with Piotr B. Mucha and Yoshihiro Shibata. We investigate free boundary problems for incompressible and inhomogeneous (with variable density and divergence-free velocity) Navier-Stokes equations, where …
-
April 23, 2026, 12:30 p.m.
Piotr Michał Bies (PW)
Existence, uniqueness, and time-asymptotics of regular solutions in multidimensional thermoelasticity on domains with boundary
In the talk, we will discuss our results in nonlinear thermoelasticity. We will study our issue in bounded and open domains. We will propose new boundary conditions for the displacement. These conditions are not usual …
-
April 16, 2026, 12:30 p.m.
Nilasis Chaudhuri (MIM UW)
Weak-Strong Uniqueness and Relaxation Limit for a Navier--Stokes--Korteweg Model
In this talk, we study a parabolic relaxation model for a compressible fluid with capillarity effects in an isothermal setting, involving relaxation parameters $\alpha,\beta>0$ that formally drive the system toward the compressible Navier--Stokes--Korteweg equations in …
-
March 26, 2026, 12:30 p.m.
Piotr Rybka (MIM UW)
Simple solutions to the surface diffusion equation for graphs of functions defined on the real line.
I will present results on self-similar (travelling-wave, steady-state) solutions to surface diffusion. We are interested in the evolution of graphs of functions defined on the real line. Our analysis is based on the observation that …
-
March 12, 2026, 12:30 p.m.
Marcin Walicki (Politechnika Warszawska)
Harmonic mappings on Grushin spaces
The goal of the talk is to discuss harmonic functions (maps) with domain contained in the Grushin space and a Euclidean target. Such maps can have various definitions (not all equivalent); the most common is …
-
March 5, 2026, 12:30 p.m.
Longxiu Huang (Michigan State University)
Gradient-Informed Metrics for Supervised Manifold Learning
High-dimensional datasets—common in biology, medicine, and the social sciences—often contain thousands of measured variables, even though only a small subset truly influences the outcome we care about. How can we uncover and visualize the meaningful …
-
Jan. 22, 2026, 12:30 p.m.
Michał Trelka (MIM UW)
Analysis of a Compressible Navier-Stokes System with Dispersive Effects
We cordially invite you for the talk: We consider a compressible Navier-Stokes system with additional dispersive effects induced by rotation through a Coriolis-type term. Such a model arises naturally in geophysical fluid dynamics, in magnetohydrodynamics, …
-
Dec. 18, 2025, 12:30 p.m.
Jacopo Schino (MIM UW)
Non-variational ODEs with constraints
In the past decades, semilinear Schrödinger equations with L² constraints have attracted many scholars' attention. They have been mostly investigated via variational methods, which involve different approaches depending on whether the energy is bounded below …
-
Dec. 4, 2025, 12:30 p.m.
Nilasis Chaudhuri (MIM UW)
Compactness in compressible Navier-Stokes system revisited
In this talk, we revisit the existence theory of weak solutions for the compressible Navier--Stokes system. We propose an approximation scheme that, instead of the classical regularization of the continuity equation (based on the viscosity …
-
Nov. 27, 2025, 12:30 p.m.
Xiao Zhong (School of Mathematics, Sun Yat-sen University)
Dimer models and Beltrami equation
We study the variational problem associated with dimer models, a class of models from integrable probability and statistical mechanics in dimension two, which have been the focus of intense research efforts over the last decades. …
-
Nov. 6, 2025, 12:30 p.m.
Wojciech Górny
Variable-growth total variation denoising
Even though more than 30 years have passed since the seminal Rudin--Osher--Fatemi (ROF) paper on total variation denoising, it still remains relevant; however, it is known to suffer from artifacts such as the staircasing effect. …
