Stephan Luckhaus

4.1k citations
58 papers · 2.8k · 2 hit papers · h-index 22

Impact in

Papers in

Stephan Luckhaus

58 papers receiving 2.5k citations

Stephan Luckhaus's Hit Papers

On explosions of solutions to a system of partial differential equations modelling chemotaxis 1992 · 612 citations
6120+14+28Years since publication200400600

Peers

Stephan Luckhaus
Comparison fields: 5 of 85
  • Modeling and Simulation 922
  • Applied Mathematics 987
  • Computational Theory and Mathematics 1.4k
  • Mathematical Physics 470
  • Numerical Analysis 217
Replace Philippe Laurençot with:
Philippe Laurençot France
Lawrence Evans United States
Jacques Simon France
Avner Friedman United States
Lenya Ryzhik United States
Roberto Natalini Italy
Gary M. Lieberman United States
O. Ladyženskaja Russia
Didier Bresch France
Juan Soler Spain
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Citations per field
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Citations per year

Countries citing papers authored by Stephan Luckhaus

Since Specialization
Citations

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

Fields of papers citing papers by Stephan Luckhaus

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 25 scholars most cited alongside Stephan Luckhaus, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Stephan Luckhaus Line = papers co-authored together Stephan Luckhaus links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 58 papers — load more, or switch the sort, to bring in the rest.

#Work
1
Quasilinear elliptic-parabolic differential equations
Hit paper breakdown →
1983724
2
On explosions of solutions to a system of partial differential equations modelling chemotaxis
Hit paper breakdown →
1992612
3 1992157
4 1995116
5 1996111
6 1989100
7 199081
8 200378
9 198470
10 198467
11
198865
12 198765
13 198451
14 198737
15 200737
16 198633
17 201233
18 199532
19 199626
20 197925

About Stephan Luckhaus

Stephan Luckhaus is a scholar working on Computational Theory and Mathematics, Applied Mathematics, Mathematical Physics, Modeling and Simulation and Numerical Analysis, having authored 58 papers that have together received 2.8k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (22 papers), Nonlinear Partial Differential Equations (8 papers), Stability and Controllability of Differential Equations (5 papers), Mathematical and Theoretical Epidemiology and Ecology Models (5 papers), Stochastic processes and statistical mechanics (5 papers), advanced mathematical theories (5 papers), Geometric Analysis and Curvature Flows (5 papers) and Differential Equations and Numerical Methods (5 papers). The work is most often cited by research in Modeling and Simulation (922 citations), Applied Mathematics (987 citations), Computational Theory and Mathematics (1.4k citations), Mathematical Physics (470 citations) and Numerical Analysis (217 citations). Stephan Luckhaus has collaborated with scholars based in Germany, Italy and France. Frequent co-authors include Hans Wilhelm Alt, Willi Jäger, Luciano Modica, Alain Bourgeat, Andro Mikelić, Yoshie Sugiyama, Roberta Dal Passo, Augusto Visintin, Wolfgang Karl Härdle and K. Bente. Their work appears in journals such as Archive for Rational Mechanics and Analysis, Calculus of Variations and Partial Differential Equations, Transactions of the American Mathematical Society, Journal of Differential Equations and Indiana University Mathematics Journal.

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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