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.

Current NCN grant HARMONIA

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

  1. Piotr Rybka, Ahmad Sabra, The planar Least Gradient problem in convex domains: the discontinuous case, Nonlinear Differ. Equ. Appl. (2021) 28:15 preprint.
  2. Tokinaga Namba, Piotr Rybka, Vaughan Voller, Some comments on using fractional derivative operators in modeling non-local diffusion processes, J. Comput. Appl. Math. 381 (2021), 113040, preprint
  3. Yoshikazu Giga, Ryota Nakayashiki, Piotr Rybka, Ken Shirakawa, On boundary detachment phenomena for the total variation flow with dynamic boundary conditions, Journal of Differential Equations, 269, (2020), no 12, 10587-10629.
  4. Tokinaga Namba, Piotr Rybka, On viscosity solutions of space-fractional diffusion equations of Caputo type , SIAM Journal on Mathematical Analysis 52, (2020), no 1, 653-681. preprint
  5. Piotr Rybka, Anna Zatorska-Goldstein, A stationary heat conduction problem, Calc. Var. Partial Differential Equations 59 (2020), no. 1, Paper No. 40. preprint.

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:

Nonlocal diffusion problems, nonlocal interface evolution, 1.--3. October 2020. Organizers: Adam Kubica, Michał Łasica, Piotr Rybka, Katarzyna Ryszewska.
Recordings available upon request.

Conference archives

Piotr Rybka