Hermann Sohr

4.8k total citations
65 papers, 2.8k citations indexed

About

Hermann Sohr is a scholar working on Applied Mathematics, Mathematical Physics and Control and Systems Engineering. According to data from OpenAlex, Hermann Sohr has authored 65 papers receiving a total of 2.8k indexed citations (citations by other indexed papers that have themselves been cited), including 52 papers in Applied Mathematics, 37 papers in Mathematical Physics and 27 papers in Control and Systems Engineering. Recurrent topics in Hermann Sohr's work include Navier-Stokes equation solutions (44 papers), Advanced Mathematical Physics Problems (27 papers) and Stability and Controllability of Differential Equations (27 papers). Hermann Sohr is often cited by papers focused on Navier-Stokes equation solutions (44 papers), Advanced Mathematical Physics Problems (27 papers) and Stability and Controllability of Differential Equations (27 papers). Hermann Sohr collaborates with scholars based in Germany, Japan and United States. Hermann Sohr's co-authors include Reinhard Farwig, Hideo Kozono, Wolfgang Borchers, Giovanni P. Galdi, Jan Prüß, Wolf von Wahl, Christian G. Simader, Tetsuro Miyakawa, Werner Varnhorn and Takayoshi Ogawa 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

Hermann Sohr

65 papers receiving 2.6k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Hermann Sohr Germany 26 2.3k 1.5k 1.1k 1.1k 544 65 2.8k
Lucio Boccardo Italy 33 5.0k 2.2× 2.5k 1.7× 4.5k 4.1× 692 0.7× 314 0.6× 181 5.8k
Songmu Zheng China 25 647 0.3× 393 0.3× 1.2k 1.0× 788 0.7× 326 0.6× 58 2.0k
Hana Petzeltová Czechia 19 1.2k 0.5× 689 0.5× 425 0.4× 448 0.4× 559 1.0× 63 1.5k
Jingxue Yin China 19 1.4k 0.6× 646 0.4× 1.1k 1.0× 560 0.5× 140 0.3× 167 1.9k
Maurizio Grasselli Italy 31 916 0.4× 547 0.4× 2.0k 1.8× 1.1k 1.0× 487 0.9× 162 3.0k
Konrad Gröger Germany 12 616 0.3× 417 0.3× 906 0.8× 304 0.3× 275 0.5× 51 1.6k
Vladimír Šverák United States 26 2.1k 0.9× 1.3k 0.9× 833 0.8× 701 0.7× 528 1.0× 66 2.6k
Lihe Wang United States 25 1.8k 0.8× 837 0.6× 1.3k 1.1× 92 0.1× 199 0.4× 136 2.3k
Thierry Gallouët France 20 2.4k 1.1× 1.3k 0.9× 2.1k 1.9× 402 0.4× 413 0.8× 45 3.0k
Jishan Fan China 24 2.2k 1.0× 1.8k 1.3× 206 0.2× 548 0.5× 796 1.5× 226 2.4k

Countries citing papers authored by Hermann Sohr

Since Specialization
Citations

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

Fields of papers citing papers by Hermann Sohr

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Hermann Sohr

This figure shows the co-authorship network connecting the top 25 collaborators of Hermann Sohr. A scholar is included among the top collaborators of Hermann Sohr 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 Hermann Sohr. Hermann Sohr 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.
Farwig, Reinhard, Hermann Sohr, & Werner Varnhorn. (2013). Besov Space Regularity Conditions for Weak Solutions of the Navier–Stokes Equations. Journal of Mathematical Fluid Mechanics. 16(2). 307–320. 4 indexed citations
2.
Farwig, Reinhard, Hideo Kozono, & Hermann Sohr. (2011). Global Weak Solutions of the Navier–Stokes Equations with Nonhomogeneous Boundary Data and Divergence. Rendiconti del Seminario Matematico della Università di Padova. 125. 51–70. 10 indexed citations
3.
Farwig, Reinhard & Hermann Sohr. (2010). On the existence of local strong solutions for the Navier–Stokes equations in completely general domains. Nonlinear Analysis. 73(6). 1459–1465. 4 indexed citations
4.
Farwig, Reinhard, Hermann Sohr, & Werner Varnhorn. (2010). Necessary and sufficient conditions on local strong solvability of the Navier–Stokes system. Applicable Analysis. 90(1). 47–58. 5 indexed citations
5.
Farwig, Reinhard, Hideo Kozono, & Hermann Sohr. (2008). Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin's condition. Banach Center Publications. 175–184. 9 indexed citations
6.
Farwig, Reinhard, Hideo Kozono, & Hermann Sohr. (2007). Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data. Journal of the Mathematical Society of Japan. 59(1). 25 indexed citations
7.
Farwig, Reinhard, Giovanni P. Galdi, & Hermann Sohr. (2005). Very weak solutions and large uniqueness classes of stationary Navier–Stokes equations in bounded domains of R2. Journal of Differential Equations. 227(2). 564–580. 23 indexed citations
8.
Farwig, Reinhard, Hideo Kozono, & Hermann Sohr. (2005). An Lq-approach to Stokes and Navier-Stokes equations in general domains. Acta Mathematica. 195(1). 21–53. 89 indexed citations
9.
Farwig, Reinhard, Hideo Kozono, & Hermann Sohr. (2005). The Helmholtz decomposition in arbitrary unbounded domains : a theory beyond L2. 3 indexed citations
10.
Galdi, Giovanni P. & Hermann Sohr. (2004). Existence and Uniqueness of Time-Periodic Physically Reasonable Navier-Stokes Flow Past a Body. Archive for Rational Mechanics and Analysis. 172(3). 363–406. 54 indexed citations
11.
Sohr, Hermann. (2001). The Navier-Stokes Equations. CERN Document Server (European Organization for Nuclear Research). 380 indexed citations
12.
Sohr, Hermann. (2001). The Navier-Stokes Equations. 199 indexed citations
13.
Farwig, Reinhard & Hermann Sohr. (1997). Weighted Lq-theory for the Stokes resolvent in exterior domains. Journal of the Mathematical Society of Japan. 49(2). 68 indexed citations
14.
Simader, Christian G. & Hermann Sohr. (1996). The Dirichlet problem for the Laplacian in bounded and unbounded domains : a new approach to weak, strong and (2+k)-solutions in Sobolev-type spaces. Longman eBooks. 14 indexed citations
15.
Farwig, Reinhard & Hermann Sohr. (1994). Generalized resolvent estimates for the Stokes system in bounded and unbounded domains. Journal of the Mathematical Society of Japan. 46(4). 128 indexed citations
16.
Kozono, Hideo & Hermann Sohr. (1992). Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains. Journal of the Mathematical Society of Japan. 44(2). 18 indexed citations
17.
Kozono, Hideo & Hermann Sohr. (1992). On a new class of generalized solutions for the Stokes equations in exterior domains. French digital mathematics library (Numdam). 19(2). 155–181. 37 indexed citations
18.
Borchers, Wolfgang & Hermann Sohr. (1990). On the equations rot v=g and div u=f with zero boundary conditions. Hokkaido Mathematical Journal. 19(1). 159 indexed citations
19.
Sohr, Hermann & Wolf von Wahl. (1987). Generic solvability of the equations of Navier-Stokes. Hiroshima Mathematical Journal. 17(3). 3 indexed citations
20.
Sohr, Hermann. (1983). Zur Regularit�tstheorie der instation�ren Gleichungen von Navier-Stokes. Mathematische Zeitschrift. 184(3). 359–375. 71 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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