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

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 problme), Mathematical models of continua and biology.

- (with Y. Giga, P.Gorka), Nonlocal spatially inhomogeneous Hamilton-Jacobi
equation with unusual free boundary,
*Discrete Contin. Dyn. Syst.,***26**(2010), 493-519. - (with E.Yokoyama, Y. Giga), A microscopic time scale approximation
to the behavior of the local slope on the faceted surface under a
nonuniformity in supersaturation,
*Physica D,***237**(2008), 2845-2855. - (with Y. Giga), Facet bending driven by the planar crystalline
curvature with a generic nonuniform forcing term,
*J.Differential Equations***2466**, (2009), 2264-2303. - (with P.B.Mucha), A New Look at Equilibria in
Stefan-Type Problems in the Plane,
*SIAM J. Math Anal.***39,**(2007), No 4, 1120-1134. - (with M. Luskin), Existence of Energy Minimizers for
Magnetostrictive Materials,
*SIAM J. Math Anal.***36,**(2005), 2204-2019 - (with Q.Tang, D.Waxman), Evolution in a changing environment:
Existence of Solutions,
*Coll. Math.***98**(2003). - (with Y. Giga), Quasi-static evolution of 3-D crystals grown from supersaturated vapor,
*Adv. Diff. Equations.***15,**(2002), 1-15. - On modified crystalline Stefan problem with
singular data,
*J.Differential Eq.***181,**(2002), 340-366. - (with K.-H.Hoffmann), Convergence of solutions to Cahn-Hilliard
equation,
*Commun. PDE.*,**24**(1999), 1055-1077. - (with K.-H.Hoffmann), Convergence of solutions to equation
of quasi-static approximation of viscoelasticity with capillarity,
*J. Math. Analysis Appl.*,**226**, (1998), 61-81. - The crystalline version of the modified Stefan problem
in the plane and its properties,
*SIAM J.Math. Anal.*,**30,**(1999), No 4., 756-786 - Viscous damping prevents propagation of singularities in
the
system of viscoelasticity,
*Proc. Royal Soc. Edinburgh A*,**127,**(1997), 1067-1074. - (with I.Fonseca), Relaxation of multiple integrals in the
space BV,
*Proc. Royal Soc. Edinburgh A,***121**, (1992), 321-348. - Dynamical modeling of phase transitions by means
of viscoelasticity in many dimensions,
*Proc. Royal Soc. Edinburgh A,***121**, (1992), 101-138.

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

Piotr Rybka |