Piotr B. Mucha

1.8k total citations
89 papers, 922 citations indexed

About

Piotr B. Mucha is a scholar working on Applied Mathematics, Mathematical Physics and Control and Systems Engineering. According to data from OpenAlex, Piotr B. Mucha has authored 89 papers receiving a total of 922 indexed citations (citations by other indexed papers that have themselves been cited), including 76 papers in Applied Mathematics, 40 papers in Mathematical Physics and 31 papers in Control and Systems Engineering. Recurrent topics in Piotr B. Mucha's work include Navier-Stokes equation solutions (63 papers), Advanced Mathematical Physics Problems (34 papers) and Stability and Controllability of Differential Equations (31 papers). Piotr B. Mucha is often cited by papers focused on Navier-Stokes equation solutions (63 papers), Advanced Mathematical Physics Problems (34 papers) and Stability and Controllability of Differential Equations (31 papers). Piotr B. Mucha collaborates with scholars based in Poland, France and Czechia. Piotr B. Mucha's co-authors include Raphaël Danchin, Milan Pokorný, Wojciech M. Zajączkowski, Piotr Rybka, Marta Lewicka, Ewelina Zatorska, Eduard Feireisl, Antonín Novotný, Reimund Rautmann and Joachim Escher and has published in prestigious journals such as PLoS ONE, Communications in Mathematical Physics and Journal of the Franklin Institute.

In The Last Decade

Piotr B. Mucha

79 papers receiving 848 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Piotr B. Mucha Poland	16	839	552	352	265	152	89	922
Quansen Jiu China	21	1.1k 1.4×	932 1.7×	519 1.5×	404 1.5×	139 0.9×	73	1.3k
Corrado Mascia Italy	14	435 0.5×	269 0.5×	263 0.7×	126 0.5×	114 0.8×	39	597
Fucai Li China	16	834 1.0×	572 1.0×	403 1.1×	114 0.4×	88 0.6×	78	867
Hermano Frid Brazil	14	678 0.8×	375 0.7×	332 0.9×	134 0.5×	242 1.6×	66	857
Ivan Straškraba Czechia	15	643 0.8×	384 0.7×	374 1.1×	152 0.6×	179 1.2×	27	817
Yue‐Jun Peng France	20	827 1.0×	514 0.9×	482 1.4×	104 0.4×	93 0.6×	69	945
Harumi Hattori United States	10	410 0.5×	268 0.5×	232 0.7×	100 0.4×	65 0.4×	28	526
Milan Pokorný Czechia	19	1.0k 1.2×	680 1.2×	344 1.0×	436 1.6×	141 0.9×	61	1.1k
Yun‐guang Lu China	14	416 0.5×	259 0.5×	231 0.7×	94 0.4×	58 0.4×	75	516
Alexei Ilyin Russia	14	338 0.4×	290 0.5×	166 0.5×	304 1.1×	153 1.0×	55	621

Countries citing papers authored by Piotr B. Mucha

Since Specialization

Citations

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

Fields of papers citing papers by Piotr B. Mucha

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Piotr B. Mucha. 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 B. Mucha. The network helps show where Piotr B. Mucha may publish in the future.

Co-authorship network of co-authors of Piotr B. Mucha

This figure shows the co-authorship network connecting the top 25 collaborators of Piotr B. Mucha. A scholar is included among the top collaborators of Piotr B. Mucha 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 B. Mucha. Piotr B. Mucha is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Mucha, Piotr B., et al.. (2025). Construction of weak solutions to a model of pressureless viscous flow driven by nonlocal attraction–repulsion. Journal de Mathématiques Pures et Appliquées. 195. 103671–103671. 1 indexed citations

Mucha, Piotr B., et al.. (2024). A new construction of weak solutions to compressible Navier–Stokes equations. Mathematische Annalen. 390(2). 1669–1729. 1 indexed citations

Mucha, Piotr B., et al.. (2024). A fuzzy q-closest alignment model. Nonlinearity. 37(8). 85007–85007.

Mucha, Piotr B., et al.. (2023). Global-in-time stability of ground states of a pressureless hydrodynamic model of collective behaviour. Communications in Mathematical Sciences. 21(7). 1937–1959. 1 indexed citations

Mucha, Piotr B., et al.. (2020). Density-induced consensus protocol. Mathematical Models and Methods in Applied Sciences. 30(12). 2389–2415. 6 indexed citations

Mucha, Piotr B., et al.. (2019). Between homogeneous and inhomogeneous Navier–Stokes systems: The issue of stability. Journal of Differential Equations. 267(1). 307–363. 3 indexed citations

Zatorska, Ewelina & Piotr B. Mucha. (2015). Multicomponent mixture model: the issue of existence via time discretization. Communications in Mathematical Sciences. 13(8). 1975–2003.

Mucha, Piotr B., Milan Pokorný, & Ewelina Zatorska. (2014). Approximate solutions to model of o two-components reactive flow. Discrete and Continuous Dynamical Systems. 1079–1099. 2 indexed citations

Zatorska, Ewelina, Milan Pokorný, & Piotr B. Mucha. (2014). Approximate solutions to a model of two-component reactive flow. Discrete and Continuous Dynamical Systems - S. 7(5). 1079–1099. 12 indexed citations

10.

Mucha, Piotr B.. (2012). Regular solutions to a monodimensional model with discontinuous elliptic operator. Interfaces and Free Boundaries Mathematical Analysis Computation and Applications. 14(2). 145–152. 4 indexed citations

11.

Amann, Herbert, Joachim Escher, Patrick Guidotti, et al.. (2011). Parabolic problems : the Herbert Amann festschrift. Springer eBooks. 8 indexed citations

12.

Mucha, Piotr B.. (2008). Stability of 2D incompressible flows in R3. Journal of Differential Equations. 245(9). 2355–2367. 13 indexed citations

13.

Danchin, Raphaël & Piotr B. Mucha. (2008). A critical functional framework for the inhomogeneous Navier–Stokes equations in the half-space. Journal of Functional Analysis. 256(3). 881–927. 36 indexed citations

14.

Mucha, Piotr B.. (2007). Limit of kinetic term for a Stefan problem. Discrete and Continuous Dynamical Systems. 741–750. 1 indexed citations

15.

Mucha, Piotr B., Patrick Penel, Michael Wiegner, & Wojciech M. Zajączkowski. (2005). Regularity and other aspects of the navier-stokes equations. 5 indexed citations

16.

Mucha, Piotr B.. (2005). On a Pump. Acta Applicandae Mathematicae. 88(2). 125–141. 1 indexed citations

17.

Mucha, Piotr B.. (2004). On cylindrical symmetric flows through pipe-like domains. Journal of Differential Equations. 201(2). 304–323. 13 indexed citations

18.

Mucha, Piotr B.. (2004). On cylindrical symmetric flows through pipe-like domains. Journal of Differential Equations. 201(2). 304–323. 2 indexed citations

19.

Mucha, Piotr B. & Wojciech M. Zajączkowski. (2002). On a Lp-estimate for the linearized compressible Navier–Stokes equations with the Dirichlet boundary conditions. Journal of Differential Equations. 186(2). 377–393. 15 indexed citations

20.

Mucha, Piotr B.. (2000). GLOBAL EXISTENCE OF SOLUTIONS OF THE EINSTEIN-BOLTZMANN EQUATION IN THE SPATIALLY HOMOGENEOUS CASE. Banach Center Publications. 52(1). 175–180. 5 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.

Explore authors with similar magnitude of impact