Reinhard Illner

3.3k citations
87 papers · 2.1k indexed · 1 hit paper · h-index 20
Topics
Gas Dynamics and Kinetic Theory (37 papers)Advanced Thermodynamics and Statistical Mechanics (15 papers)Advanced Mathematical Physics Problems (14 papers)
Partner nations
CanadaGermanyItaly

In The Last Decade

Reinhard Illner

84 papers receiving 1.9k citations

Hit Papers

The Mathematical Theory of Dilute Gases19942026200420151994200400600

Peers

Reinhard Illner
Comparison fields: 5 of 105
  • Applied Mathematics 1.4k
  • Computational Mechanics 726
  • Mathematical Physics 697
  • Statistical and Nonlinear Physics 468
  • Atomic and Molecular Physics, and Optics 259
Replace Hailiang Liu with:
Hailiang Liu United States
Tai-Ping Liu United States
Helmut Neunzert Germany
Giuseppe Savaré Italy
Solomon G. Mikhlin United States
Wilfrid Gangbo United States
Gui‐Qiang Chen United States
Steve Abbott United States
Tatsien Li China
L. C. Evans United States
Reinhard Illner relative to Hailiang Liu United States Hailiang Liu's profile →
Citations per field
00.5×1.5×2.1×
Hailiang Liu · 1×
Citations per year

Countries citing papers authored by Reinhard Illner

Since Specialization
Citations

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

Fields of papers citing papers by Reinhard Illner

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Reinhard Illner

This figure shows the co-authorship network connecting the top 25 collaborators of Reinhard Illner. A scholar is included among the top collaborators of Reinhard Illner 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 Reinhard Illner. Reinhard Illner 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
#WorkIndexed citations
1 1
2 8
3 19
4 16
5 9
6 12
7 6
8 1
9 4
10 10
11 25
12 5
13
The Mathematical Theory of Dilute Gasesbreakdown →
665
14 11
15 4
16
Domain Decomposition: Linking Kinetic and Aerodynamic Descriptions
4
17 93
18 36
19 3
20 9

About Reinhard Illner

Reinhard Illner is a scholar working on Applied Mathematics, Mathematical Physics and Statistical and Nonlinear Physics, having authored 87 papers that have together received 2.1k indexed citations. Recurring topics across this work include Gas Dynamics and Kinetic Theory (37 papers), Advanced Thermodynamics and Statistical Mechanics (15 papers) and Advanced Mathematical Physics Problems (14 papers). The work is most often cited by research in Applied Mathematics (1.4k citations), Mathematical Physics (697 citations) and Statistical and Nonlinear Physics (468 citations). Reinhard Illner has collaborated with scholars based in Canada, Germany and Italy. Frequent co-authors include Mario Pulvirenti, Carlo Cercignani, Tadeusz Płatkowski, Marvin Shinbrot, Helmut Neunzert, Hans Babovsky, Horst Lange, Gerhard Rein, P. F. Zweifel and Roderick Edwards. Their work appears in journals such as SHILAP Revista de lepidopterología, Journal of Geophysical Research Atmospheres and Chemical Physics Letters.

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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