Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego
Publications
Piotr Rybka
2017
- Adam Kubica, Piotr Rybka and K. Ryszewska, Weak solutions of fractional differential equations in non cylindrical domains, Nonlinear Analysis-real World Applications 36 2017, p. 154–182.see in PBN
- Atsushi Nakayasu and Piotr Rybka, Energy Solutions to One-Dimensional Singular Parabolic Problems with \$\$\ BV\$\$ Data are Viscosity Solutions, in: Mathematics for Nonlinear Phenomena --- Analysis and Computation: In Honor of Yoshikazu Giga's 60th Birthday, Sapporo, Japan, August 2015, 2017, p. 195–213.see in PBN
- Wojciech Górny, Piotr Rybka and Ahmad Sabra, Special cases of the planar least gradient problem, Nonlinear Analysis-theory Methods & Applications 151 2017, p. 66–95.see in PBN
2016
- M. D. Korzec, Piotr Amit Nayar and Piotr Rybka, Global attractors of sixth order PDEs describing the faceting of growing surfaces, Journal Of Dynamics And Differential Equations 28 (1) 2016, p. 49–67.see in PBN
- Milena Matusik and Piotr Rybka, Oscillating facets, Portugaliae Mathematica 73 (1) 2016, p. 1–40.see in PBN
- Adam Kubica and Piotr Rybka, Fine singularity analysis of solutions to the Laplace equation: Berg's effect, Mathematical Methods In The Applied Sciences 39 (5) 2016, p. 1069–1075.see in PBN
2015
- Adam Kubica and Piotr Rybka, Fine singularity analysis of solutions to the Laplace equation, Mathematical Methods In The Applied Sciences 38 (9) 2015, p. 1734–1745.see in PBN
- Yoshikazu Giga, Przemysław Górka and Piotr Rybka, Bent rectangles as viscosity solutions over a circle, Nonlinear Analysis-theory Methods & Applications 125 2015, p. 518–549.see in PBN
- Piotr Mucha, Monika Muszkieta and Piotr Rybka, Two cases of squares evolving by anisotropic diffusion, Advances In Differential Equations 20 2015, p. 773–800.see in PBN
- Luigi Ambrosio, Yoshikazu Giga, Piotr Rybka and Yoshihiro Tonegawa (eds.), Variational Methods for Evolving Objects, World Scientific, 2015.see in PBN
- Piotr Mucha and Piotr Rybka, Models of sudden directional diffusion, in: Variational Methods for Evolving Objects, World Scientific, 2015, p. 225–244.see in PBN
- Adam Kubica and Piotr Rybka, Fine singularity analysis of solutions to the Laplace equation., Mathematical Methods In The Applied Sciences 2015.see in PBN
2013
- Piotr Rybka, Przemysław Górka and Yoshikazu Giga, Evolution of regular bent rectangles by the driven crystalline curvature flow in the plane with a non-uniform forcing term, Advances In Differential Equations 18 (3-4) 2013, p. 201–242.see in PBN
- Karolina Kielak, Piotr Mucha and Piotr Rybka, Almost classical solutions to the total variation flow, Journal Of Evolution Equations 13 2013, p. 21–49.see in PBN
- Piotr Bogusław Mucha and Piotr Rybka, Well posedness of sudden directional diffusion equations, Mathematical Methods In The Applied Sciences 36 (17) 2013, p. 2359–2370.see in PBN
- Piotr Mucha and Piotr Rybka, Well-posedness of sudden directional diffusion equations, Mathematical Methods In The Applied Sciences 36 2013, p. 2359–2370.see in PBN
2012
- Piotr Mucha and Piotr Rybka, A Note on a Model System with Sudden Directional Diffusion, Journal Of Statistical Physics 146 2012, p. 975–988.see in PBN
- Piotr Rybka and M. Korzec, On a higher order convective Cahn-Hilliard-type equation, Siam Journal On Applied Mathematics 72 (4) 2012, p. 1343–1360.see in PBN
- Maciej D. Korzec, Piotr Amit Nayar and Piotr Rybka, Global Weak Solutions to a Sixth Order Cahn-Hilliard Type Equation, Siam Journal On Mathematical Analysis 44 (5) 2012, p. 3369–3387.see in PBN
2010
- Piotr Rybka and Przemysław Górka, Existence and uniqueness of solutions to singular ODE's, Archiv Der Mathematik 94 2010, p. 227–233.see in PBN
- Piotr Rybka, Yoshikazu Giga and Przemysław Górka, Nonlocal spatially inhomogeneous Hamilton-Jacobi equation with unusual free boundary, Discrete And Continuous Dynamical Systems 26 (2) 2010, p. 493–519.see in PBN
- Piotr Rybka and Danielle Hilhorst, Stabilization of Solutions to a FitzHugh-Nagumo Type System, Journal Of Statistical Physics 138 2010, p. 291–304.see in PBN
- Piotr Rybka and W. Merz, Strong solutions to the Richards equation in the unsaturated zone, Journal Of Mathematical Analysis And Applications 371 (2) 2010, p. 741–749.see in PBN
2009
- Piotr Mucha, Marek Niezgódka and Piotr Rybka (eds.), Nonlocal and Abstract Parabolic Equations and their Applications, Institute of Mathematics, Polish Academy of Science, Warszawa 2009.see in PBN
- Piotr Rybka and Yoshikazu Giga, Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term, Journal Of Differential Equations 246 (6) 2009, p. 2264–2303.see in PBN
- Piotr Rybka and Piotr Mucha, Almost classical solutions of static Stefan type problems involving crystalline curvature, in: Nonlocal and Abstract Parabolic Equations and their Applications, Institute of Mathematics, Polish Academy of Science, Warszawa 2009, p. 223–234.see in PBN
2008
- Piotr Mucha and Piotr Rybka, A caricature of a singular flow in the plane, Nonlinearity 21 (10) 2008, p. 2281–2316.see in PBN
- Piotr Rybka and Yoshikazu Giga, Facet bending in the driven crystalline curvature flow in the plane, Journal Of Geometric Analysis 18 (1) 2008, p. 109–147.see in PBN
- Etsuro Yokoyama, Yoshikazu Giga and Piotr Rybka, A microscopic time scale approximation to the behavior of the local slope on the faceted surface under a nonuniformity in supersayuration, Physica D-nonlinear Phenomena 237 2008, p. 2845–2855.see in PBN
- Piotr Rybka and Yoshikazu Giga, Faceted crystals grow from solutions - a Stefan type problem with a singular interfacial energy, in: Proceedings of the 4th JSAM-SIAMI seminar on Industrial and Applied Mathematics, Gakkotosho, Tokio 2008.see in PBN
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