prof. dr hab. Piotr Rybka

Ta strona ma swój polski odpowiednik

ul. Banacha 2
02-097 Warszawa, Poland
room: 4290
phone +48 22 55 44 486
fax +48 22 55 44 300
e-mail rybka (at) mimuw . edu . pl

Scientific interests

Differential Equations (singular parabolic equations, Cahn-Hilliard problems, gradient flows, Łojasiewicz inequality), Calculus of Variations (linear growth functionals, BV space), Free Boundary Problems, Singular Curvature Flow, Phase Transitions (crystal growth, Stefan-type problem), Mathematical models of continua and biology.

Expired in 2023 NCN grant HARMONIA

Last five papers (the full list of publications is here)

  1. Piotr Rybka, On the Dirichlet problem for the one-dimensional ROF functional, Mathematical Methods in the Applied Sciences, 2025, 48, Issue 16, 15 November 2025, 15265-15277, preprint.
  2. Samer Dweik, Piotr Rybka, Ahmad Sabra, The non-convex planar Least Gradient Problem, Nonlinear Analysis, 260 November 2025, 113843 preprint.
  3. Piotr Rybka, Glen Wheeler, A classification of solitons for the surface diffusion flow of entire graphs, Physica D, 477 July 2025, 134702, preprint.
  4. Danielle Hilhorst, Sabrina Roscani, Piotr Rybka, Convergence of solutions of a one-phase Stefan problem with Neumann   boundary data to a self-similar profile, Nonlinear Differ. Equ. Appl. 31 56, (2024)
  5. Yoshikazu Giga, Michał Łasica, Piotr Rybka, The heat equation with the dynamic boundary condition as a singular limit of problems degenerating at the boundary, Asymptotic Analysis, 135 (2023), 463-508

Here is my cv

Lecture notes:

my own, The BV space in variational and evolution problems, The University of Tokyo, Nov. 1 -- Nov. 10, 2016. The log of changes.

by my guest, MICHAL KOWALCZYK, NONLINEAR THEORY OF LOCALIZED PATTERNS: AN INTRODUCTION, delivered at the Faculty of Mathematics, the University of Warsaw, January 2016

Conferences:

Conference archives

Piotr Rybka