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

  1. Convergence of a heat flow on a Hilbert manifold, (pdf file)

Selected publications (the full list of publications is here)

  1. (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.
  2. (with M. Luskin), Existence of Energy Minimizers for Magnetostrictive Materials, SIAM J. Math Anal. 36, (2005), 2204-2019
  3. (with Y. Giga), Existence of self-similar evolution of crystals grown from supersaturated vapor, Interfaces and Free Boundaries, 6, (2004), 405-421 (pdf file)
  4. (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.
  5. (with Y. Giga), Berg's effect Advances in Mathematical Sciences and Applications, 13(2003), 625-637.
  6. (with Q.Tang, D.Waxman), Evolution in a changing environment: Existence of Solutions, Coll. Math. 98(2003).
  7. (with Y. Giga), Quasi-static evolution of 3-D crystals grown from supersaturated vapor, Adv. Diff. Equations. 15, (2002), 1-15.
  8. (with Y. Giga and M.Paolini), On the motion by singular interfacial energy, Japan J. Indust. Appl. Math. 18, (2001), 231--248.
  9. On modified crystalline Stefan problem with singular data, J.Differential Eq. 181, (2002), 340-366.
  10. (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.
  11. (with K.-H.Hoffmann), Convergence of solutions to Cahn-Hilliard equation, Commun. PDE. , 24 (1999), 1055-1077.
  12. (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.
  13. The crystalline version of the modified Stefan problem in the plane and its properties, SIAM J.Math. Anal., 30, (1999), No 4., 756-786
  14. Viscous damping prevents propagation of singularities in the system of viscoelasticity, Proc. Royal Soc. Edinburgh A, 127, (1997), 1067-1074.
  15. (with I.Fonseca), Relaxation of multiple integrals in the space BV, Proc. Royal Soc. Edinburgh A, 121, (1992), 321-348.
  16. 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

Piotr Rybka