Petr Kaplický

498 total citations
28 papers, 308 citations indexed

About

Petr Kaplický is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Fluid Flow and Transfer Processes. According to data from OpenAlex, Petr Kaplický has authored 28 papers receiving a total of 308 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Applied Mathematics, 22 papers in Computational Theory and Mathematics and 6 papers in Fluid Flow and Transfer Processes. Recurrent topics in Petr Kaplický's work include Advanced Mathematical Modeling in Engineering (22 papers), Navier-Stokes equation solutions (16 papers) and Nonlinear Partial Differential Equations (12 papers). Petr Kaplický is often cited by papers focused on Advanced Mathematical Modeling in Engineering (22 papers), Navier-Stokes equation solutions (16 papers) and Nonlinear Partial Differential Equations (12 papers). Petr Kaplický collaborates with scholars based in Czechia, Germany and Italy. Petr Kaplický's co-authors include Lars Diening, Sebastian Schwarzacher, Josef Málek, Michael Růžička, H. Beirão da Veiga, Jana Stará, Miroslav Bulíček, Dalibor Pražák, Nils Ackermann and Thomas Bartsch and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Journal of Differential Equations.

In The Last Decade

Petr Kaplický

27 papers receiving 290 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Petr Kaplický Czechia 10 255 208 71 70 48 28 308
Mark Steinhauer Germany 7 230 0.9× 190 0.9× 49 0.7× 51 0.7× 86 1.8× 10 300
Francesca Crispo Italy 12 338 1.3× 162 0.8× 109 1.5× 146 2.1× 124 2.6× 32 373
Sebastian Schwarzacher Czechia 12 300 1.2× 258 1.2× 63 0.9× 139 2.0× 76 1.6× 32 370
Agnieszka Świerczewska-Gwiazda Poland 12 360 1.4× 217 1.0× 65 0.9× 129 1.8× 166 3.5× 35 478
Remigio Russo Italy 11 190 0.7× 183 0.9× 82 1.2× 93 1.3× 75 1.6× 36 310
Mikhail V. Korobkov Russia 10 224 0.9× 116 0.6× 56 0.8× 101 1.4× 75 1.6× 44 286
Hermenegildo Borges de Oliveira Portugal 10 165 0.6× 125 0.6× 99 1.4× 103 1.5× 59 1.2× 30 232
Dominic Breit Germany 14 362 1.4× 277 1.3× 32 0.5× 138 2.0× 97 2.0× 50 466
M. Padula Italy 10 190 0.7× 80 0.4× 76 1.1× 81 1.2× 88 1.8× 21 229
Jana Stará Czechia 14 319 1.3× 312 1.5× 48 0.7× 107 1.5× 35 0.7× 35 397

Countries citing papers authored by Petr Kaplický

Since Specialization
Citations

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

Fields of papers citing papers by Petr Kaplický

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Petr Kaplický

This figure shows the co-authorship network connecting the top 25 collaborators of Petr Kaplický. A scholar is included among the top collaborators of Petr Kaplický 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 Petr Kaplický. Petr Kaplický 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.
Bulíček, Miroslav, et al.. (2023). On the exponential decay in time of solutions to a generalized Navier–Stokes–Fourier system. Journal of Differential Equations. 379. 762–793. 1 indexed citations
2.
Bulíček, Miroslav, et al.. (2019). On the Existence of Classical Solution to the Steady Flows of Generalized Newtonian Fluid with Concentration Dependent Power-Law Index. Journal of Mathematical Fluid Mechanics. 21(1). 2 indexed citations
3.
Kalenda, Ondřej F. K., et al.. (2019). Finitely additive measures and complementability of Lipschitz-free spaces. Israel Journal of Mathematics. 230(1). 409–442. 4 indexed citations
4.
Bulíček, Miroslav, Petr Kaplický, & Dalibor Pražák. (2019). Uniqueness and regularity of flows of non-Newtonian fluids with critical power-law growth. Mathematical Models and Methods in Applied Sciences. 29(6). 1207–1225. 5 indexed citations
5.
Bulíček, Miroslav, Sun‐Sig Byun, Petr Kaplický, Jehan Oh, & Sebastian Schwarzacher. (2019). On global $$L^q$$ estimates for systems with p-growth in rough domains. Calculus of Variations and Partial Differential Equations. 58(6). 2 indexed citations
6.
Diening, Lars, Petr Kaplický, & Sebastian Schwarzacher. (2013). Campanato estimates for the generalized Stokes System. Annali di Matematica Pura ed Applicata (1923 -). 193(6). 1779–1794. 20 indexed citations
7.
Diening, Lars & Petr Kaplický. (2012). L q theory for a generalized Stokes System. manuscripta mathematica. 141(1-2). 333–361. 27 indexed citations
8.
Diening, Lars, Petr Kaplický, & Sebastian Schwarzacher. (2011). BMO estimates for the -Laplacian. Nonlinear Analysis. 75(2). 637–650. 53 indexed citations
9.
Veiga, H. Beirão da, Petr Kaplický, & Michael Růžička. (2010). Regularity theorems, up to the boundary, for shear thickening flows. Comptes Rendus Mathématique. 348(9-10). 541–544. 7 indexed citations
10.
Bulíček, Miroslav, Petr Kaplický, & Josef Málek. (2010). AnL2-maximal regularity result for the evolutionary Stokes–Fourier system. Applicable Analysis. 90(1). 31–45. 6 indexed citations
11.
Bulíček, Miroslav, et al.. (2010). On uniqueness and time regularity of flows of power-law like non-Newtonian fluids. Mathematical Methods in the Applied Sciences. n/a–n/a. 17 indexed citations
12.
Veiga, H. Beirão da, Petr Kaplický, & Michael Růžička. (2010). Boundary Regularity of Shear Thickening Flows. Journal of Mathematical Fluid Mechanics. 13(3). 387–404. 42 indexed citations
13.
Bulíček, Miroslav, et al.. (2009). The dimension of the attractor for the 3D flow of a non-Newtonian fluid. Communications on Pure & Applied Analysis. 8(5). 1503–1520. 7 indexed citations
14.
Ackermann, Nils, Thomas Bartsch, Petr Kaplický, & Pavol Quíttner. (2008). A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems. Transactions of the American Mathematical Society. 360(7). 3493–3540. 12 indexed citations
15.
Kaplický, Petr & Dalibor Pražák. (2006). Differentiability of the solution operator and the dimension of the attractor for certain power–law fluids. Journal of Mathematical Analysis and Applications. 326(1). 75–87. 3 indexed citations
16.
Kaplický, Petr. (2006). Regularity of Flow of Anisotropic Fluid. Journal of Mathematical Fluid Mechanics. 10(1). 71–88. 7 indexed citations
17.
Kaplický, Petr. (2005). SOME REMARKS TO REGULARITY OF FLOW OF GENERALIZED NEWTONIAN FLUID. 377–379. 2 indexed citations
18.
Kaplický, Petr. (2005). Regularity of Flows of a Non-Newtonian Fluid Subject to Dirichlet Boundary Conditions. Zeitschrift für Analysis und ihre Anwendungen. 24(3). 467–486. 22 indexed citations
19.
Kaplický, Petr, Josef Málek, & Jana Stará. (2002). C1,α-Solutions to a Class of Nonlinear Fluids in the 2D Stationary Dirichlet Problem. Journal of Mathematical Sciences. 109(5). 1867–1893. 9 indexed citations
20.
Kaplický, Petr, Josef Málek, & Jana Stará. (1997). Full regularity of weak solutions to a class of nonlinear fluids in two dimensions -- stationary, periodic problem. Commentationes Mathematicae Universitatis Carolinae. 38(4). 681–695. 15 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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