Piotr Rybka

756 total citations
63 papers, 494 citations indexed

About

Piotr Rybka is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Piotr Rybka has authored 63 papers receiving a total of 494 indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Computational Theory and Mathematics, 27 papers in Applied Mathematics and 19 papers in Mathematical Physics. Recurrent topics in Piotr Rybka's work include Advanced Mathematical Modeling in Engineering (32 papers), Nonlinear Partial Differential Equations (21 papers) and Numerical methods in inverse problems (12 papers). Piotr Rybka is often cited by papers focused on Advanced Mathematical Modeling in Engineering (32 papers), Nonlinear Partial Differential Equations (21 papers) and Numerical methods in inverse problems (12 papers). Piotr Rybka collaborates with scholars based in Poland, Japan and Germany. Piotr Rybka's co-authors include Yoshikazu Giga, Piotr B. Mucha, Karl‐Heinz Hoffmann, Irene Fonseca, A. Pollo, Tsutomu T. Takeuchi, Mitchell Luskin, Przemysław Górka, J. R. Ockendon and Vaughan R. Voller and has published in prestigious journals such as Astronomy and Astrophysics, Journal of Mathematical Analysis and Applications and Physica D Nonlinear Phenomena.

In The Last Decade

Piotr Rybka

56 papers receiving 444 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Piotr Rybka Poland 13 256 220 148 84 83 63 494
Massimiliano Morini Italy 14 261 1.0× 237 1.1× 116 0.8× 95 1.1× 23 0.3× 45 607
Reiner Schätzle Germany 16 294 1.1× 584 2.7× 113 0.8× 151 1.8× 29 0.3× 47 942
Lia Bronsard Canada 12 368 1.4× 284 1.3× 321 2.2× 103 1.2× 38 0.5× 24 716
Xiaoxiao Zheng China 16 71 0.3× 77 0.3× 185 1.3× 108 1.3× 81 1.0× 44 568
Nicholas D. Alikakos United States 15 415 1.6× 332 1.5× 381 2.6× 141 1.7× 79 1.0× 21 855
Anvarbek Meirmanov Russia 10 262 1.0× 110 0.5× 91 0.6× 88 1.0× 34 0.4× 41 499
Xiaodong Yan United States 12 250 1.0× 257 1.2× 70 0.5× 108 1.3× 16 0.2× 45 554
Michael Pilant United States 11 105 0.4× 67 0.3× 42 0.3× 169 2.0× 36 0.4× 27 394
Kamel Hamdache France 16 290 1.1× 371 1.7× 30 0.2× 183 2.2× 61 0.7× 58 671
Roberta Dal Passo Italy 16 443 1.7× 434 2.0× 259 1.8× 207 2.5× 155 1.9× 32 1.1k

Countries citing papers authored by Piotr Rybka

Since Specialization
Citations

This map shows the geographic impact of Piotr Rybka's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Piotr Rybka with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Piotr Rybka more than expected).

Fields of papers citing papers by Piotr Rybka

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Piotr Rybka. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Piotr Rybka. The network helps show where Piotr Rybka may publish in the future.

Co-authorship network of co-authors of Piotr Rybka

This figure shows the co-authorship network connecting the top 25 collaborators of Piotr Rybka. A scholar is included among the top collaborators of Piotr Rybka based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Piotr Rybka. Piotr Rybka is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Rybka, Piotr, et al.. (2025). A classification of solitons for the surface diffusion flow of entire graphs. Physica D Nonlinear Phenomena. 477. 134702–134702.
2.
Lewiński, Tomasz, Piotr Rybka, & Anna Zatorska‐Goldstein. (2023). The free material design problem for the stationary heat equation on low dimensional structure. Nonlinearity. 36(8). 4501–4521. 1 indexed citations
3.
Giga, Yoshikazu, et al.. (2020). On boundary detachment phenomena for the total variation flow with dynamic boundary conditions. Journal of Differential Equations. 269(12). 10587–10629. 4 indexed citations
4.
Rybka, Piotr, et al.. (2018). Integrability of the derivative of solutions to a singular one-dimensional parabolic problem. Topological Methods in Nonlinear Analysis. 1–1. 1 indexed citations
5.
Rybka, Piotr, et al.. (2016). Oscillating facets. Portugaliae Mathematica. 73(1). 1–40. 2 indexed citations
6.
Giga, Yoshikazu, Przemysław Górka, & Piotr Rybka. (2013). 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). 4 indexed citations
7.
Giga, Yoshikazu, et al.. (2011). A comparison principle for singular diffusion equations with spatially inhomogeneous driving force for graphs. EPrints - Department of Mathematics, Hokkaido University. 981. 1–43. 1 indexed citations
8.
Rybka, Piotr, et al.. (2010). Strong solutions to the Richards equation in the unsaturated zone. Journal of Mathematical Analysis and Applications. 371(2). 741–749. 14 indexed citations
9.
Pollo, A., Piotr Rybka, & Tsutomu T. Takeuchi. (2010). Star-galaxy separation by far-infrared color-color diagrams for the AKARI FIS all-sky survey (bright source catalog version β-1). Astronomy and Astrophysics. 514. A3–A3. 26 indexed citations
10.
Giga, Yoshikazu & Piotr Rybka. (2009). Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term. Journal of Differential Equations. 246(6). 2264–2303.
11.
Mucha, Piotr B. & Piotr Rybka. (2007). A New Look at Equilibria in Stefan-Type Problems in the Plane. SIAM Journal on Mathematical Analysis. 39(4). 1120–1134. 10 indexed citations
12.
Giga, Yoshikazu & Piotr Rybka. (2005). FACETED CRYSTALS GROWN FROM SOLUTION - A STEFAN TYPE PROBLEM WITH A SINGULAR INTERFACIAL ENERGY. EPrints - Department of Mathematics, Hokkaido University. 753. 1–14. 1 indexed citations
13.
Rybka, Piotr, et al.. (2004). A free boundary problem describing reaction–diffusion problems in chemical vapor infiltration of pyrolytic carbon. Journal of Mathematical Analysis and Applications. 292(2). 571–588. 12 indexed citations
14.
Giga, Yoshikazu & Piotr Rybka. (2004). Existence of self-similar evolution of crystals grown from supersaturated vapor. Interfaces and Free Boundaries Mathematical Analysis Computation and Applications. 6(4). 405–421. 4 indexed citations
15.
Rybka, Piotr, Qi Tang, & David Waxman. (2003). Evolution in a changing environment: existence of solutions. Colloquium Mathematicum. 98(1). 97–111. 2 indexed citations
16.
Giga, Yoshikazu & Piotr Rybka. (2002). Berg's effect. Preprint Series of Department of Mathematics, Hokkaido University. 553. 1–12. 3 indexed citations
17.
Rybka, Piotr. (2002). On the Modified Crystalline Stefan Problem with Singular Data. Journal of Differential Equations. 181(2). 340–366.
18.
Rybka, Piotr & Karl‐Heinz Hoffmann. (1998). Convergence of Solutions to the Equation of Quasi-Static Approximation of Viscoelasticity with Capillarity. Journal of Mathematical Analysis and Applications. 226(1). 61–81. 19 indexed citations
19.
Rybka, Piotr. (1995). Viscous damping prevents propagation of singularities in the system of viscoelasticity. 1–6. 1 indexed citations
20.
Fonseca, Irene & Piotr Rybka. (1992). Relaxation of multiple integrals in the spaceBV(Ω, RP). Proceedings of the Royal Society of Edinburgh Section A Mathematics. 121(3-4). 321–348. 25 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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