Helmut Abels

2.5k total citations
68 papers, 1.5k citations indexed

About

Helmut Abels is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Materials Chemistry. According to data from OpenAlex, Helmut Abels has authored 68 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 49 papers in Computational Theory and Mathematics, 46 papers in Applied Mathematics and 23 papers in Materials Chemistry. Recurrent topics in Helmut Abels's work include Advanced Mathematical Modeling in Engineering (49 papers), Navier-Stokes equation solutions (26 papers) and Solidification and crystal growth phenomena (22 papers). Helmut Abels is often cited by papers focused on Advanced Mathematical Modeling in Engineering (49 papers), Navier-Stokes equation solutions (26 papers) and Solidification and crystal growth phenomena (22 papers). Helmut Abels collaborates with scholars based in Germany, Italy and Japan. Helmut Abels's co-authors include Harald Garcke, Günther Grün, Mathias Wilke, Eduard Feireisl, Yuning Liu, Sebastian Aland, Moritz Kaßmann, Dominic Mokbel, Georg Dolzmann and Matthias Röger and has published in prestigious journals such as Journal of Computational Physics, Communications in Mathematical Physics and Archive for Rational Mechanics and Analysis.

In The Last Decade

Helmut Abels

65 papers receiving 1.4k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Helmut Abels Germany 21 767 727 688 567 240 68 1.5k
Giulio Schimperna Italy 22 864 1.1× 932 1.3× 521 0.8× 292 0.5× 188 0.8× 81 1.5k
Francisco Guillén‐González Spain 19 399 0.5× 346 0.5× 331 0.5× 586 1.0× 162 0.7× 91 1.2k
Elisabetta Rocca Italy 19 476 0.6× 578 0.8× 381 0.6× 194 0.3× 122 0.5× 93 1.0k
Amy Novick-Cohen Israel 21 1.0k 1.4× 596 0.8× 226 0.3× 534 0.9× 110 0.5× 67 1.5k
Roberta Dal Passo Italy 16 259 0.3× 443 0.6× 434 0.6× 474 0.8× 207 0.9× 32 1.1k
Songmu Zheng China 25 898 1.2× 1.2k 1.6× 647 0.9× 326 0.6× 393 1.6× 58 2.0k
Gianni Gilardi Italy 18 588 0.8× 695 1.0× 266 0.4× 249 0.4× 116 0.5× 71 1.0k
James F. Blowey United Kingdom 15 686 0.9× 531 0.7× 87 0.1× 584 1.0× 60 0.3× 22 1.1k
Reiner Schätzle Germany 16 113 0.1× 294 0.4× 584 0.8× 176 0.3× 151 0.6× 47 942

Countries citing papers authored by Helmut Abels

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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-authorship network of co-authors of Helmut Abels

This figure shows the co-authorship network connecting the top 25 collaborators of Helmut Abels. A scholar is included among the top collaborators of Helmut Abels 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 Helmut Abels. Helmut Abels 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.
Abels, Helmut, et al.. (2025). Diffuse interface model for two-phase flows on evolving surfaces with different densities: global well-posedness. Calculus of Variations and Partial Differential Equations. 64(5). 141–141. 1 indexed citations
2.
Abels, Helmut, et al.. (2024). Mathematical Analysis of a Diffuse Interface Model for Multi-phase Flows of Incompressible Viscous Fluids with Different Densities. Journal of Mathematical Fluid Mechanics. 26(2). 4 indexed citations
3.
Abels, Helmut & Gerd Grubb. (2024). Maximal $$L_p$$-regularity for x-dependent fractional heat equations with Dirichlet conditions. Mathematische Annalen. 391(3). 3295–3331.
4.
Abels, Helmut, et al.. (2024). Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier–Stokes/Allen–Cahn System. Archive for Rational Mechanics and Analysis. 248(5). 77–77. 1 indexed citations
5.
Abels, Helmut, Harald Garcke, & Andrea Giorgini. (2023). Global regularity and asymptotic stabilization for the incompressible Navier–Stokes-Cahn–Hilliard model with unmatched densities. Mathematische Annalen. 389(2). 1267–1321. 10 indexed citations
6.
Abels, Helmut, et al.. (2023). Short time existence for coupling of scaled mean curvature flow and diffusion. Journal of Evolution Equations. 23(1). 4 indexed citations
7.
Abels, Helmut & Yadong Liu. (2023). Short-time existence of a quasi-stationary fluid–structure interaction problem for plaque growth. Advances in Nonlinear Analysis. 12(1). 1 indexed citations
8.
Abels, Helmut, et al.. (2022). Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°. SIAM Journal on Mathematical Analysis. 54(1). 114–172. 4 indexed citations
9.
Abels, Helmut, et al.. (2022). Large times existence for thin vibrating rods. Asymptotic Analysis. 131(3-4). 471–512. 1 indexed citations
10.
Abels, Helmut, et al.. (2022). Convergence of a nonlocal to a local diffuse interface model for two-phase flow with unmatched densities. Discrete and Continuous Dynamical Systems - S. 15(8). 1871–1871. 7 indexed citations
11.
Abels, Helmut, et al.. (2021). Sharp Interface Limit of a Stokes/Cahn–Hilliard System, Part II: Approximate Solutions. University of Regensburg Publication Server (University of Regensburg). 6 indexed citations
12.
Abels, Helmut, et al.. (2019). Convergence of the Allen–Cahn equation to the mean curvature flow with 90°-contact angle in 2D. Interfaces and Free Boundaries Mathematical Analysis Computation and Applications. 21(3). 313–365. 5 indexed citations
13.
Abels, Helmut & Yuning Liu. (2018). Sharp Interface Limit for a Stokes/Allen–Cahn System. Archive for Rational Mechanics and Analysis. 229(1). 417–502. 19 indexed citations
14.
Abels, Helmut, Gerd Grubb, & Ian Wood. (2014). Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems. Journal of Functional Analysis. 266(7). 4037–4100. 14 indexed citations
15.
Abels, Helmut, et al.. (2013). Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows. Nonlinear Analysis Real World Applications. 15. 149–157. 11 indexed citations
16.
Abels, Helmut & Moritz Kaßmann. (2009). The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels. Osaka Journal of Mathematics. 46(3). 661–683. 21 indexed citations
17.
Abels, Helmut. (2009). Longtime behavior of solutions of a Navier-Stokes/Cahn-Hilliard system. Banach Center Publications. 9–19. 34 indexed citations
18.
Abels, Helmut & Moritz Kaßmann. (2007). An analytic approach to purely nonlocal Bellman equations arising in models of stochastic control. Journal of Differential Equations. 236(1). 29–56. 14 indexed citations
19.
Abels, Helmut & Mathias Wilke. (2006). Convergence to equilibrium for the Cahn–Hilliard equation with a logarithmic free energy. Nonlinear Analysis. 67(11). 3176–3193. 102 indexed citations
20.
Abels, Helmut. (2005). Reduced and Generalized Stokes Resolvent Equations in Asymptotically Flat Layers, Part I: Unique Solvability. Journal of Mathematical Fluid Mechanics. 7(2). 201–222. 24 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.

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