Michael Wiegner

1.1k total citations
29 papers, 777 citations indexed

About

Michael Wiegner is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Control and Systems Engineering. According to data from OpenAlex, Michael Wiegner has authored 29 papers receiving a total of 777 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Applied Mathematics, 20 papers in Computational Theory and Mathematics and 10 papers in Control and Systems Engineering. Recurrent topics in Michael Wiegner's work include Advanced Mathematical Modeling in Engineering (18 papers), Nonlinear Partial Differential Equations (13 papers) and Stability and Controllability of Differential Equations (10 papers). Michael Wiegner is often cited by papers focused on Advanced Mathematical Modeling in Engineering (18 papers), Nonlinear Partial Differential Equations (13 papers) and Stability and Controllability of Differential Equations (10 papers). Michael Wiegner collaborates with scholars based in Germany, United States and Poland. Michael Wiegner's co-authors include María E. Schonbek, Helmut Abels, Wojciech M. Zajączkowski, Martin Fuchs, Wolf von Wahl, Stuart S. Antman, Patrick Penel and Piotr B. Mucha and has published in prestigious journals such as Nonlinear Analysis, Mathematische Annalen and Communications in Partial Differential Equations.

In The Last Decade

Michael Wiegner

29 papers receiving 695 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Michael Wiegner Germany 14 699 418 332 300 137 29 777
Hiroko Morimoto Japan 11 477 0.7× 258 0.6× 263 0.8× 249 0.8× 152 1.1× 22 579
Marco Cannone France 16 923 1.3× 757 1.8× 375 1.1× 106 0.4× 294 2.1× 30 1.0k
Stathis Filippas Greece 16 799 1.1× 429 1.0× 165 0.5× 442 1.5× 27 0.2× 30 930
J. Toledo Spain 16 523 0.7× 240 0.6× 111 0.3× 440 1.5× 43 0.3× 42 672
Jan W. Cholewa Poland 15 433 0.6× 518 1.2× 797 2.4× 513 1.7× 31 0.2× 52 941
Andrea Dall’Aglio Italy 12 619 0.9× 360 0.9× 131 0.4× 592 2.0× 39 0.3× 28 735
Peer Christian Kunstmann Germany 14 482 0.7× 400 1.0× 100 0.3× 190 0.6× 27 0.2× 56 613
Sadek Gala Algeria 17 1.1k 1.5× 854 2.0× 324 1.0× 175 0.6× 209 1.5× 110 1.2k
Silvia Romanelli Italy 14 244 0.3× 291 0.7× 202 0.6× 342 1.1× 18 0.1× 48 494
A. S. Kalashnikov Russia 9 591 0.8× 312 0.7× 150 0.5× 504 1.7× 44 0.3× 27 829

Countries citing papers authored by Michael Wiegner

Since Specialization
Citations

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

Fields of papers citing papers by Michael Wiegner

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michael Wiegner

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Wiegner. A scholar is included among the top collaborators of Michael Wiegner 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 Michael Wiegner. Michael Wiegner 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.
Wiegner, Michael, et al.. (2011). Solutions for fourth order parabolic equation modeling epitaxial thin film growth. RWTH Publications (RWTH Aachen). 2 indexed citations
2.
Mucha, Piotr B., Patrick Penel, Michael Wiegner, & Wojciech M. Zajączkowski. (2005). Regularity and other aspects of the navier-stokes equations. 5 indexed citations
3.
Antman, Stuart S., et al.. (2002). The motion of a particle on a light viscoelastic bar: asymptotic analysis of its quasilinear parabolic–hyperbolic equation. Journal de Mathématiques Pures et Appliquées. 81(4). 283–309. 8 indexed citations
4.
Wiegner, Michael, et al.. (2000). Some results on degenerate parabolic equations not in divergence form. RWTH Publications (RWTH Aachen). 18 indexed citations
5.
Wiegner, Michael. (1999). The Navier-Stokes equations - a neverending challenge?. RWTH Publications (RWTH Aachen). 31 indexed citations
6.
Wiegner, Michael. (1997). A degenerate diffusion equation with a nonlinear source term. Nonlinear Analysis. 28(12). 1977–1995. 55 indexed citations
7.
Schonbek, María E. & Michael Wiegner. (1996). On the decay of higher-order norms of the solutions of Navier–Stokes equations. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 126(3). 677–685. 125 indexed citations
8.
Wiegner, Michael. (1994). Blow-up for solutions of some degenerate parabolic equations. Differential and Integral Equations. 7(5-6). 43 indexed citations
9.
Wiegner, Michael. (1994). Decay of the L?-norm of solutions of Navier-Stokes equations in unbounded domains. Acta Applicandae Mathematicae. 37(1-2). 215–219. 15 indexed citations
10.
Wiegner, Michael. (1993). Schauder estimates for boundary layer potentials. Mathematical Methods in the Applied Sciences. 16(12). 877–894. 12 indexed citations
11.
Wiegner, Michael. (1992). Global solutions to a class of strongly coupled parabolic systems. Mathematische Annalen. 292(1). 711–727. 22 indexed citations
12.
Fuchs, Martin & Michael Wiegner. (1989). The regularity of minima of variational problems with graph obstacles. Archiv der Mathematik. 53(1). 75–81. 7 indexed citations
13.
Wiegner, Michael. (1987). Decay Results for Weak Solutions of the Navier-Stokes Equations on Rn. Journal of the London Mathematical Society. s2-35(2). 303–313. 216 indexed citations
14.
Wiegner, Michael. (1986). On 385-01385-01385-01regularity of the gradient of solutions of degenerate parabolic systems. Annali di Matematica Pura ed Applicata (1923 -). 145(1). 385–405. 37 indexed citations
15.
Wiegner, Michael. (1984). On the asympotic behaviour of solutions of nonlinear parabolic equations. Mathematische Zeitschrift. 188(1). 3–22. 12 indexed citations
16.
Wiegner, Michael. (1982). Regularity theorems for nondiagonal elliptic systems. Arkiv för matematik. 20(1-2). 1–13. 2 indexed citations
17.
Wiegner, Michael. (1981). The C1,1—character of solutions of second order elliptic equations with gradient constraint. Communications in Partial Differential Equations. 6(3). 361–371. 22 indexed citations
18.
Wiegner, Michael. (1976). Ein optimaler Regularit�tssatz f�r schwache L�sungen gewisser elliptischer Systeme. Mathematische Zeitschrift. 147(1). 21–28. 29 indexed citations
19.
Wiegner, Michael. (1976). A-Priori Schranken f�r L�sungen gewisser elliptischer Systeme. manuscripta mathematica. 18(3). 279–297. 23 indexed citations
20.
Wiegner, Michael. (1975). �ber die Regularit�t schwacher L�sungen gewisser elliptischer Systeme. manuscripta mathematica. 15(4). 365–384. 10 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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