Helmut Abels
Impact in
- Applied Mathematics top 0.5%
- Navier-Stokes equation solutions
- Nonlinear Partial Differential Equations
- Computational Theory and Mathematics top 0.5%
- Advanced Mathematical Modeling in Engineering
Papers in
-
- Navier-Stokes equation solutions 35
- Nonlinear Partial Differential Equations 25
- Differential Equations and Boundary Problems 8
-
- Advanced Mathematical Modeling in Engineering 65
- Co-authors
- Harald Garcke (19 shared papers)Günther Grün (3 shared papers)Mathias Wilke (3 shared papers)Eduard Feireisl (1 shared paper)Yuning Liu (4 shared papers)Matthias Röger (1 shared paper)Dominic Mokbel (1 shared paper)Sebastian Aland (1 shared paper)
In The Last Decade
Helmut Abels
90 papers receiving 1.9k citations
Peers
Comparison fields: 5 of 61
- Applied Mathematics 903
- Computational Theory and Mathematics 963
- Computational Mechanics 762
- Mathematical Physics 322
- Materials Chemistry 1.0k
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 98 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 2011 | 367 | |
| 2 | 2008 | 207 | |
| 3 | 2006 | 121 | |
| 4 | 2009 | 82 | |
| 5 | 2008 | 80 | |
| 6 | Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities | 2011 | 70 |
| 7 | On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility | 2012 | 68 |
| 8 | 2018 | 56 | |
| 9 | 2007 | 48 | |
| 10 | 2009 | 39 | |
| 11 | 2014 | 38 | |
| 12 | 2005 | 34 | |
| 13 | 2014 | 34 | |
| 14 | 2009 | 34 | |
| 15 | 2005 | 33 | |
| 16 | The initial value problem for the navier-stokes equations with a free surface in Lq-Sobolev spaces | 2003 | 33 |
| 17 | 2012 | 32 | |
| 18 | 2011 | 31 | |
| 19 | 2008 | 31 | |
| 20 | 2005 | 27 |
About Helmut Abels
Helmut Abels is a scholar working on Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Computational Mechanics and Materials Chemistry, having authored 98 papers that have together received 2.0k indexed citations. Recurring topics across this work include Advanced Mathematical Modeling in Engineering (65 papers), Navier-Stokes equation solutions (35 papers), Solidification and crystal growth phenomena (34 papers), Nonlinear Partial Differential Equations (25 papers), Fluid Dynamics and Thin Films (17 papers), Advanced Mathematical Physics Problems (8 papers), Differential Equations and Boundary Problems (8 papers) and Numerical methods in inverse problems (8 papers). The work is most often cited by research in Applied Mathematics (903 citations), Computational Theory and Mathematics (963 citations), Computational Mechanics (762 citations), Mathematical Physics (322 citations) and Materials Chemistry (1.0k 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, Matthias Röger, Dominic Mokbel, Sebastian Aland, Moritz Kaßmann and Georg Dolzmann. Their work appears in journals such as SIAM Journal on Mathematical Analysis, Journal of Differential Equations, Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, Mathematische Annalen and Discrete and Continuous Dynamical Systems - S.
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.