Carlo Cercignani

11.1k total citations · 2 hit papers
141 papers, 7.2k citations indexed

About

Carlo Cercignani is a scholar working on Applied Mathematics, Computational Mechanics and Statistical and Nonlinear Physics. According to data from OpenAlex, Carlo Cercignani has authored 141 papers receiving a total of 7.2k indexed citations (citations by other indexed papers that have themselves been cited), including 102 papers in Applied Mathematics, 56 papers in Computational Mechanics and 40 papers in Statistical and Nonlinear Physics. Recurrent topics in Carlo Cercignani's work include Gas Dynamics and Kinetic Theory (102 papers), Advanced Thermodynamics and Statistical Mechanics (37 papers) and Fluid Dynamics and Turbulent Flows (30 papers). Carlo Cercignani is often cited by papers focused on Gas Dynamics and Kinetic Theory (102 papers), Advanced Thermodynamics and Statistical Mechanics (37 papers) and Fluid Dynamics and Turbulent Flows (30 papers). Carlo Cercignani collaborates with scholars based in Italy, United States and Canada. Carlo Cercignani's co-authors include Reinhard Illner, Mario Pulvirenti, Gilberto M. Kremer, Robert E. Street, A. Daneri, Maria Lampis, Silvia Lorenzani, Leif Arkeryd, Carlo Pagani and Stefan Stefanov and has published in prestigious journals such as Physical Review Letters, Journal of Applied Physics and Journal of Fluid Mechanics.

In The Last Decade

Carlo Cercignani

138 papers receiving 6.6k citations

Hit Papers

The Boltzmann Equation and Its Applications 1988 2026 2000 2013 1988 1994 500 1000 1.5k 2.0k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. The Boltzmann Equation and Its Applications
    1988 2.2k citations Carlo Cercignani Applied mathematical sciences profile →
  2. The Mathematical Theory of Dilute Gases
    1994 665 citations Carlo Cercignani et al. Applied mathematical sciences profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Carlo Cercignani Italy 32 5.1k 3.5k 1.4k 1.2k 1.1k 141 7.2k
James Glimm United States 53 2.4k 0.5× 3.9k 1.1× 868 0.6× 930 0.8× 2.7k 2.5× 260 9.0k
Shi Jin United States 43 2.5k 0.5× 3.8k 1.1× 1.1k 0.7× 901 0.7× 858 0.8× 254 6.8k
C. Cercignani Italy 27 2.0k 0.4× 1.4k 0.4× 724 0.5× 549 0.5× 347 0.3× 91 3.1k
Eugene P. Gross United States 25 3.2k 0.6× 5.5k 1.6× 1.6k 1.1× 4.3k 3.6× 345 0.3× 65 11.6k
Max Krook United States 12 2.6k 0.5× 5.2k 1.5× 623 0.4× 1.1k 0.9× 197 0.2× 25 7.5k
C. E. Siewert United States 34 1.7k 0.3× 2.4k 0.7× 322 0.2× 605 0.5× 1.0k 1.0× 248 4.6k
C. David Levermore United States 36 2.3k 0.5× 2.0k 0.6× 1.3k 0.9× 424 0.4× 1.1k 1.0× 81 4.9k
Tudor S. Raţiu Switzerland 40 1.4k 0.3× 1.6k 0.5× 4.2k 2.9× 680 0.6× 2.2k 2.1× 206 10.6k
G. A. Bird Australia 29 5.8k 1.2× 4.2k 1.2× 463 0.3× 1.2k 1.0× 63 0.1× 94 8.5k
K. Stewartson United Kingdom 46 770 0.2× 5.1k 1.5× 1.2k 0.8× 377 0.3× 449 0.4× 173 8.6k

Countries citing papers authored by Carlo Cercignani

Since Specialization
Citations

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

Fields of papers citing papers by Carlo Cercignani

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Carlo Cercignani

This figure shows the co-authorship network connecting the top 25 collaborators of Carlo Cercignani. A scholar is included among the top collaborators of Carlo Cercignani 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 Carlo Cercignani. Carlo Cercignani 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.
Cercignani, Carlo & Ester Gabetta. (2007). Transport phenomena and kinetic theory : applications to gases, semiconductors, photons, and biological systems. Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)). 8 indexed citations
2.
Cercignani, Carlo. (2006). Ludwig Boltzmann. Physics World. 19(9). 34–37. 2 indexed citations
3.
Cercignani, Carlo. (2006). Weak Solutions of the Boltzmann Equation Without Angle Cutoff. Journal of Statistical Physics. 123(4). 753–762. 3 indexed citations
4.
Cercignani, Carlo. (2000). Rarefied gas dynamics : from basic concepts to actual calculations. Virtual Community of Pathological Anatomy (University of Castilla La Mancha). 248 indexed citations
5.
Bobylev, A. V. & Carlo Cercignani. (1999). On the Rate of Entropy Production for the Boltzmann Equation. Journal of Statistical Physics. 94(3). 603–618. 24 indexed citations
6.
Bobylev, A. V. & Carlo Cercignani. (1999). . Journal of Statistical Physics. 94(3/4). 603–618. 18 indexed citations
7.
Cercignani, Carlo. (1998). Ludwig Boltzmann: The Man Who Trusted Atoms. CERN Document Server (European Organization for Nuclear Research). 28 indexed citations
8.
Cercignani, Carlo. (1998). Steady solutions of the nonlinear Boltzmann equation. Transport Theory and Statistical Physics. 27(3-4). 257–271. 3 indexed citations
9.
Cercignani, Carlo & S. Cortese. (1994). Validation of a Monte Carlo simulation of the plane Couette flow of a rarefied gas. Journal of Statistical Physics. 75(5-6). 817–838. 18 indexed citations
10.
Stefanov, Stefan & Carlo Cercignani. (1993). Monte Carlo simulation of the Taylor–Couette flow of a rarefied gas. Journal of Fluid Mechanics. 256. 199–213. 55 indexed citations
11.
Cercignani, Carlo & Stefan Stefanov. (1992). Benard's instability in kinetic theory. Transport Theory and Statistical Physics. 21(4-6). 371–381. 10 indexed citations
12.
Cercignani, Carlo, et al.. (1991). Velocity slip for curved shock waves. 153–160. 4 indexed citations
13.
Arkeryd, Leif & Carlo Cercignani. (1990). On a functional equation arising in the kinetic theory of gases. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni. 1(2). 139–149. 7 indexed citations
14.
Cercignani, Carlo. (1988). The Boltzmann Equation and Its Applications. Applied mathematical sciences. 2175 indexed citations breakdown →
15.
Boffi, V. C. & Carlo Cercignani. (1986). Proceedings of the 15th International Symposium on Rarefied Gas Dynamics, June 16-20, 1986, Grado, Italy. 6 indexed citations
16.
Cercignani, Carlo. (1977). Spazio, tempo, movimento : introduzione alla meccanica razionale. 1 indexed citations
17.
Cercignani, Carlo & Maria Lampis. (1972). Free molecular flow past a flat plate in the presence of a nontrivial gas-surface interaction. Zeitschrift für angewandte Mathematik und Physik. 23(5). 713–728. 15 indexed citations
18.
Cercignani, Carlo. (1968). Existence, Uniqueness, and Convergence of the Solutions of Models in Kinetic Theory. Journal of Mathematical Physics. 9(4). 633–639. 6 indexed citations
19.
Cercignani, Carlo. (1965). The Kramers problem for a not completely diffusing wall. Journal of Mathematical Analysis and Applications. 10(3). 568–586. 35 indexed citations
20.
Cercignani, Carlo & A. Daneri. (1963). Flow of a Rarefied Gas between Two Parallel Plates. Journal of Applied Physics. 34(12). 3509–3513. 209 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

Breakdown of academic impact, for papers by James Glimm Breakdown of academic impact, for papers by Shi Jin Breakdown of academic impact, for papers by C. Cercignani Breakdown of academic impact, for papers by Eugene P. Gross Breakdown of academic impact, for papers by Max Krook Breakdown of academic impact, for papers by C. E. Siewert Breakdown of academic impact, for papers by C. David Levermore Breakdown of academic impact, for papers by Tudor S. Raţiu Breakdown of academic impact, for papers by G. A. Bird Breakdown of academic impact, for papers by K. Stewartson
Rankless by CCL
2026