Helmut Abels
Impact in
- Applied Mathematics top 1%
- Navier-Stokes equation solutions
- Nonlinear Partial Differential Equations
- Computational Theory and Mathematics top 0.5%
- Advanced Mathematical Modeling in Engineering
Papers in
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- Advanced Mathematical Modeling in Engineering 49
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- Navier-Stokes equation solutions 26
- Nonlinear Partial Differential Equations 20
- Differential Equations and Boundary Problems 7
- Geometric Analysis and Curvature Flows 5
- Co-authors
- Harald Garcke (9 shared papers)Günther Grün (1 shared paper)Mathias Wilke (1 shared paper)Eduard Feireisl (1 shared paper)Yuning Liu (3 shared papers)Sebastian Aland (1 shared paper)Moritz Kaßmann (2 shared papers)Dominic Mokbel (1 shared paper)
In The Last Decade
Helmut Abels
65 papers receiving 1.4k citations
Peers
Comparison fields: 5 of 55
- Applied Mathematics 688
- Computational Theory and Mathematics 727
- Computational Mechanics 567
- Mathematical Physics 240
- Materials Chemistry 767
Countries citing papers authored by Helmut Abels
This map shows the geographic impact of Helmut Abels'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 Helmut Abels with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Helmut Abels more than expected).
Fields of papers citing papers by Helmut Abels
This network shows the impact of papers produced by Helmut Abels. 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 Helmut Abels. The network helps show where Helmut Abels may publish in the future.
Co-authors
The 25 scholars most cited alongside Helmut Abels, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 68 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 2011 | 306 | |
| 2 | 2008 | 180 | |
| 3 | 2006 | 102 | |
| 4 | 2008 | 79 | |
| 5 | 2009 | 65 | |
| 6 | 2018 | 53 | |
| 7 | 2014 | 37 | |
| 8 | 2009 | 34 | |
| 9 | 2007 | 31 | |
| 10 | 2009 | 30 | |
| 11 | 2014 | 30 | |
| 12 | 2005 | 30 | |
| 13 | The initial value problem for the navier-stokes equations with a free surface in Lq-Sobolev spaces | 2003 | 28 |
| 14 | 2012 | 26 | |
| 15 | 2008 | 26 | |
| 16 | 2005 | 24 | |
| 17 | 2005 | 24 | |
| 18 | 2005 | 24 | |
| 19 | 2011 | 23 | |
| 20 | 2010 | 22 |
About Helmut Abels
Helmut Abels is a scholar working on Computational Theory and Mathematics, Applied Mathematics, Materials Chemistry, Mathematical Physics and Computational Mechanics, having authored 68 papers that have together received 1.5k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (49 papers), Navier-Stokes equation solutions (26 papers), Solidification and crystal growth phenomena (22 papers), Nonlinear Partial Differential Equations (20 papers), Differential Equations and Boundary Problems (7 papers), Fluid Dynamics and Thin Films (7 papers), Numerical methods in inverse problems (6 papers) and Geometric Analysis and Curvature Flows (5 papers). The work is most often cited by research in Applied Mathematics (688 citations), Computational Theory and Mathematics (727 citations), Computational Mechanics (567 citations), Mathematical Physics (240 citations) and Materials Chemistry (767 citations). Helmut Abels has collaborated with scholars based in Germany, Italy and Japan. Frequent co-authors include Harald Garcke, Günther Grün, Mathias Wilke, Eduard Feireisl, Yuning Liu, Sebastian Aland, Moritz Kaßmann, Dominic Mokbel, Georg Dolzmann and Matthias Röger. Their work appears in journals such as SIAM Journal on Mathematical Analysis, Journal of Differential Equations, Journal of Evolution Equations, Discrete and Continuous Dynamical Systems - S and Archive for Rational Mechanics and Analysis.
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.