dr hab. Piotr Rybka
Ta strona ma swój polski odpowiednik
ul. Banacha 2
02-097 Warszawa, Poland
phone (+48 22) 55 44 429 or 55 44 486
fax (+48 22) 55 44 300
e-mail rybka@mimuw.edu.pl
Scientific interests
Differential Equations, Calculus of Variations, Free Boundary Problems,
Singular Curvature Flow, Phase Transitions
(crystal growth, martensitic phase transitions in solids), Mathematical
models of continua and biology.
Preprints
- Convergence of a heat flow on a Hilbert manifold,
(pdf file)
- (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 Y. Giga), Existence of self-similar evolution of
crystals grown from supersaturated vapor, Interfaces and Free
Boundaries, 6, (2004), 405-421
(pdf file)
- (with W. Merz) A Free Boundary Problem Describing
Reaction--Diffusion Problems in Chemical Vapor Infiltration of
Pyrolytic Carbon J. Math. Anal. Appl., 292,(2004), 571-588.
- (with Y. Giga), Berg's effect Advances in Mathematical
Sciences and Applications, 13(2003), 625-637.
- (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.
- (with Y. Giga and M.Paolini), On the motion by singular interfacial
energy, Japan J. Indust. Appl. Math. 18, (2001), 231--248.
- On modified crystalline Stefan problem with
singular data, J.Differential Eq. 181, (2002), 340-366.
- (with K.-H.Hoffmann), Analyticity of the nonlinear term forces convergence of solutions to two equations of continuum mechanics,
Nonlinear Analysis: Theory, Methods & Applications 50
(3), (2002) pp. 409 -424.
- (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.
Here is my cv