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
- Piotr Rybka, Ahmad Sabra,
The planar Least Gradient problem in convex domains: the discontinuous case,
Nonlinear Differ. Equ. Appl.
(2021) 28:15
preprint.
-
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
-
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.
-
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
- 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.