Mathias Wilke

691 total citations
20 papers, 315 citations indexed

About

Mathias Wilke is a scholar working on Applied Mathematics, Control and Systems Engineering and Mathematical Physics. According to data from OpenAlex, Mathias Wilke has authored 20 papers receiving a total of 315 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Applied Mathematics, 8 papers in Control and Systems Engineering and 7 papers in Mathematical Physics. Recurrent topics in Mathias Wilke's work include Navier-Stokes equation solutions (11 papers), Advanced Mathematical Physics Problems (7 papers) and Nonlinear Partial Differential Equations (7 papers). Mathias Wilke is often cited by papers focused on Navier-Stokes equation solutions (11 papers), Advanced Mathematical Physics Problems (7 papers) and Nonlinear Partial Differential Equations (7 papers). Mathias Wilke collaborates with scholars based in Germany, United States and China. Mathias Wilke's co-authors include Jan Prüß, Helmut Abels, Gieri Simonett, Senjo Shimizu, Jinkai Li and Matthias Hieber and has published in prestigious journals such as Archive for Rational Mechanics and Analysis, Journal of Differential Equations and Nonlinear Analysis.

In The Last Decade

Mathias Wilke

16 papers receiving 290 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Mathias Wilke Germany 8 204 147 92 92 66 20 315
Sergio Frigeri Italy 13 212 1.0× 320 2.2× 62 0.7× 366 4.0× 50 0.8× 23 497
Edoardo Mainini Italy 10 107 0.5× 98 0.7× 71 0.8× 48 0.5× 33 0.5× 29 291
Andrea Giorgini Italy 11 167 0.8× 255 1.7× 39 0.4× 314 3.4× 33 0.5× 24 423
Nicolas Dirr United Kingdom 9 80 0.4× 93 0.6× 68 0.7× 39 0.4× 19 0.3× 32 217
Christian Seis Germany 10 136 0.7× 49 0.3× 45 0.5× 29 0.3× 17 0.3× 26 228
Martin Heida Germany 8 89 0.4× 101 0.7× 29 0.3× 111 1.2× 10 0.2× 27 284
Andrey Shishkov Ukraine 12 225 1.1× 220 1.5× 105 1.1× 80 0.9× 49 0.7× 62 397
Senjo Shimizu Japan 15 479 2.3× 236 1.6× 347 3.8× 7 0.1× 133 2.0× 52 582
Ihsan Topaloğlu United States 8 85 0.4× 79 0.5× 29 0.3× 39 0.4× 5 0.1× 21 196
Juncheng Wei Hong Kong 4 223 1.1× 177 1.2× 126 1.4× 18 0.2× 12 0.2× 7 298

Countries citing papers authored by Mathias Wilke

Since Specialization
Citations

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

Fields of papers citing papers by Mathias Wilke

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Mathias Wilke

This figure shows the co-authorship network connecting the top 25 collaborators of Mathias Wilke. A scholar is included among the top collaborators of Mathias Wilke 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 Mathias Wilke. Mathias Wilke 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.
Hieber, Matthias, Jinkai Li, & Mathias Wilke. (2025). Nematic liquid crystals: Ericksen-Leslie theory with general stress tensors. Archive for Rational Mechanics and Analysis. 249(6).
2.
Simonett, Gieri, et al.. (2024). The Navier-Stokes equations on manifolds with boundary. Journal of Differential Equations. 416. 1602–1659.
3.
Wilke, Mathias. (2023). $$L_p$$–$$L_q$$-Theory for a Quasilinear Non-isothermal Westervelt Equation. Applied Mathematics & Optimization. 88(1). 2 indexed citations
4.
Wilke, Mathias. (2023). Linear and quasilinear evolution equations in the context of weighted $$L_p$$-spaces. Archiv der Mathematik. 121(5-6). 625–642. 1 indexed citations
5.
Wilke, Mathias. (2022). On the Rayleigh–Taylor instability for the two-phase Navier–Stokes equations in cylindrical domains. Interfaces and Free Boundaries Mathematical Analysis Computation and Applications. 24(4). 487–531.
6.
Simonett, Gieri & Mathias Wilke. (2022). $$H^\infty $$-Calculus for the Surface Stokes Operator and Applications. Journal of Mathematical Fluid Mechanics. 24(4). 4 indexed citations
7.
Prüß, Jan, Gieri Simonett, & Mathias Wilke. (2020). On the Navier–Stokes equations on surfaces. Journal of Evolution Equations. 21(3). 3153–3179. 14 indexed citations
8.
Prüß, Jan, Gieri Simonett, & Mathias Wilke. (2019). The Rayleigh–Taylor instability for the Verigin problem with and without phase transition. Nonlinear Differential Equations and Applications NoDEA. 26(3). 5 indexed citations
9.
Prüß, Jan & Mathias Wilke. (2019). Gewöhnliche Differentialgleichungen und dynamische Systeme. 2 indexed citations
10.
Prüß, Jan, Gieri Simonett, & Mathias Wilke. (2017). Critical spaces for quasilinear parabolic evolution equations and applications. Journal of Differential Equations. 264(3). 2028–2074. 35 indexed citations
11.
Prüß, Jan & Mathias Wilke. (2017). Addendum to the paper “On quasilinear parabolic evolution equations in weighted $$L_p$$ L p -spaces II”. Journal of Evolution Equations. 17(4). 1381–1388. 21 indexed citations
12.
Prüß, Jan & Mathias Wilke. (2017). On Critical Spaces for the Navier–Stokes Equations. Journal of Mathematical Fluid Mechanics. 20(2). 733–755. 11 indexed citations
13.
Prüß, Jan, Gieri Simonett, & Mathias Wilke. (2015). On Thermodynamically Consistent Stefan Problems with Variable Surface Energy. Archive for Rational Mechanics and Analysis. 220(2). 603–638. 2 indexed citations
14.
Prüß, Jan, et al.. (2014). On quasilinear parabolic evolution equations in weighted L p -spaces II. Journal of Evolution Equations. 14(3). 509–533. 32 indexed citations
15.
Prüß, Jan, Mathias Wilke, & Gieri Simonett. (2013). Invariant Foliations Near Normally Hyperbolic Equilibria for Quasilinear Parabolic Problems. Advanced Nonlinear Studies. 13(1). 231–243. 2 indexed citations
16.
Prüß, Jan, Senjo Shimizu, & Mathias Wilke. (2013). Qualitative Behaviour of Incompressible Two-Phase Flows with Phase Transitions: The Case of Non-Equal Densities. Communications in Partial Differential Equations. 39(7). 1236–1283. 7 indexed citations
17.
Prüß, Jan, et al.. (2012). Qualitative behaviour of solutions for the two-phase Navier–Stokes equations with surface tension. Mathematische Annalen. 356(2). 737–792. 36 indexed citations
18.
Wilke, Mathias & Jan Prüß. (2010). Gewöhnliche Differentialgleichungen und dynamische Systeme. 3 indexed citations
19.
Prüß, Jan, et al.. (2010). On quasilinear parabolic evolution equations in weighted L p -spaces. Journal of Evolution Equations. 10(2). 443–463. 36 indexed citations
20.
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

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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