Róbert Kersner

1.4k total citations
47 papers, 987 citations indexed

About

Róbert Kersner is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Róbert Kersner has authored 47 papers receiving a total of 987 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Applied Mathematics, 18 papers in Computational Theory and Mathematics and 13 papers in Mathematical Physics. Recurrent topics in Róbert Kersner's work include Advanced Mathematical Modeling in Engineering (18 papers), Nonlinear Partial Differential Equations (13 papers) and Differential Equations and Numerical Methods (11 papers). Róbert Kersner is often cited by papers focused on Advanced Mathematical Modeling in Engineering (18 papers), Nonlinear Partial Differential Equations (13 papers) and Differential Equations and Numerical Methods (11 papers). Róbert Kersner collaborates with scholars based in Hungary, France and Italy. Róbert Kersner's co-authors include Brian H. Gilding, M. Guedda, Jesús Ildefonso Díaz Díaz, Michiel Bertsch, L. A. Peletier, Alberto Tesei, S. Kamin, Pierre Baras, Francesco Nicolosi and Andrey Shishkov and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Journal of Differential Equations and SIAM Journal on Applied Mathematics.

In The Last Decade

Róbert Kersner

45 papers receiving 858 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Róbert Kersner Hungary 16 560 392 309 257 193 47 987
Alberto Tesei Italy 21 854 1.5× 630 1.6× 472 1.5× 148 0.6× 242 1.3× 113 1.3k
Régis Monneau France 21 842 1.5× 671 1.7× 287 0.9× 153 0.6× 249 1.3× 107 1.4k
Mostafa Bendahmane France 18 360 0.6× 424 1.1× 175 0.6× 136 0.5× 153 0.8× 65 902
S. P. Kurdyumov Russia 11 498 0.9× 337 0.9× 365 1.2× 261 1.0× 72 0.4× 45 972
Hansjörg Kielhöfer Germany 17 346 0.6× 261 0.7× 152 0.5× 148 0.6× 107 0.6× 44 838
Chi-Kun Lin Taiwan 13 548 1.0× 119 0.3× 470 1.5× 119 0.5× 267 1.4× 31 991
Louis Dupaigne France 21 1.1k 1.9× 726 1.9× 453 1.5× 145 0.6× 208 1.1× 38 1.3k
Chiun‐Chuan Chen Taiwan 20 1.1k 1.9× 712 1.8× 587 1.9× 99 0.4× 105 0.5× 41 1.3k
Grzegorz Karch Poland 22 784 1.4× 379 1.0× 711 2.3× 102 0.4× 86 0.4× 71 1.3k
Jean‐Michel Roquejoffre France 24 778 1.4× 465 1.2× 315 1.0× 283 1.1× 765 4.0× 72 1.6k

Countries citing papers authored by Róbert Kersner

Since Specialization
Citations

This map shows the geographic impact of Róbert Kersner'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 Róbert Kersner with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Róbert Kersner more than expected).

Fields of papers citing papers by Róbert Kersner

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Róbert Kersner. 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 Róbert Kersner. The network helps show where Róbert Kersner may publish in the future.

Co-authorship network of co-authors of Róbert Kersner

This figure shows the co-authorship network connecting the top 25 collaborators of Róbert Kersner. A scholar is included among the top collaborators of Róbert Kersner 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 Róbert Kersner. Róbert Kersner 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.
Kersner, Róbert, et al.. (2022). A competition system with nonlinear cross-diffusion: exact periodic patterns. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 116(4). 5 indexed citations
2.
Faragó, István, et al.. (2015). Stability of patterns and of constant steady states for a cross-diffusion system. Journal of Computational and Applied Mathematics. 293. 208–216. 5 indexed citations
3.
Gilding, Brian H. & Róbert Kersner. (2012). Wavefront solutions of a nonlinear telegraph equation. Journal of Differential Equations. 254(2). 599–636. 7 indexed citations
4.
Hilhorst, Danielle, et al.. (2008). Interface dynamics of the Fisher equation with degenerate diffusion. Journal of Differential Equations. 244(11). 2870–2889. 12 indexed citations
5.
Guedda, M., et al.. (2007). A KPZ growth model with possibly unbounded data: Correctness and blow-up. Nonlinear Analysis. 68(7). 2079–2091. 11 indexed citations
6.
Kersner, Róbert, et al.. (2005). On a Stefan-type model arising in ecology. Applied Mathematics Letters. 19(8). 699–705.
7.
Guedda, M., et al.. (2003). The Cauchy problem for ut= u+| u|q. SZTAKI Publication Repository (Hungarian Academy of Sciences). 35 indexed citations
8.
Gilding, Brian H., M. Guedda, & Róbert Kersner. (2003). The Cauchy problem for ut=Δu+|∇u|q. Journal of Mathematical Analysis and Applications. 284(2). 733–755. 62 indexed citations
9.
Guedda, M. & Róbert Kersner. (2003). Self-similar solutions to the generalized deterministic KPZ equation. Nonlinear Differential Equations and Applications NoDEA. 10(1). 1–13. 12 indexed citations
10.
Gilding, Brian H., M. Guedda, & Róbert Kersner. (1998). The Cauchy problem for the K.P.Z. equation. University of Twente Research Information. 3 indexed citations
11.
Kersner, Róbert, et al.. (1997). On the Cauchy problem for a class of linear parabolic equations with variable density. OpenGrey (Institut de l'Information Scientifique et Technique). 9(4). 279–298. 22 indexed citations
12.
Kersner, Róbert & Andrey Shishkov. (1996). Instantaneous Shrinking of the Support of Energy Solutions. Journal of Mathematical Analysis and Applications. 198(3). 729–750. 20 indexed citations
13.
Gilding, Brian H. & Róbert Kersner. (1996). The Characterization of Reaction-Convection-Diffusion Processes by Travelling Waves. Journal of Differential Equations. 124(1). 27–79. 43 indexed citations
14.
Kawohl, Bernhard & Róbert Kersner. (1992). On degenerate diffusion with very strong absorption. Mathematical Methods in the Applied Sciences. 15(7). 469–477. 15 indexed citations
15.
Gilding, Brian H. & Róbert Kersner. (1991). Diffusion-convection-réaction, frontières libres et une équation intégrale. University of Twente Research Information. 313(11). 743–746. 4 indexed citations
16.
Kersner, Róbert & Francesco Nicolosi. (1991). On the free boundaries in a nonlinear diffusion-convection problem with positive initial conditions. Nonlinear Analysis. 16(6). 543–552. 8 indexed citations
17.
Díaz, Jesús Ildefonso Díaz & Róbert Kersner. (1988). On the behaviour and cases of nonexistence of the free boundary in a semibounded porous medium. Journal of Mathematical Analysis and Applications. 132(1). 281–289. 7 indexed citations
18.
Díaz, Jesús Ildefonso Díaz & Róbert Kersner. (1987). On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium. Journal of Differential Equations. 69(3). 368–403. 84 indexed citations
19.
Baras, Pierre & Róbert Kersner. (1987). Local and global solvability of a class of semilinear parabolic equations. Journal of Differential Equations. 68(2). 238–252. 39 indexed citations
20.
Kersner, Róbert. (1982). Filtration with absorption: Necessary and sufficient condition for the propagation of perturbations to have finite velocity. Journal of Mathematical Analysis and Applications. 90(2). 463–479. 10 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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