Reinhard Farwig

2.8k total citations
114 papers, 1.7k citations indexed

About

Reinhard Farwig is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Reinhard Farwig has authored 114 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 102 papers in Applied Mathematics, 59 papers in Mathematical Physics and 52 papers in Computational Theory and Mathematics. Recurrent topics in Reinhard Farwig's work include Navier-Stokes equation solutions (87 papers), Advanced Mathematical Modeling in Engineering (51 papers) and Advanced Mathematical Physics Problems (45 papers). Reinhard Farwig is often cited by papers focused on Navier-Stokes equation solutions (87 papers), Advanced Mathematical Modeling in Engineering (51 papers) and Advanced Mathematical Physics Problems (45 papers). Reinhard Farwig collaborates with scholars based in Germany, Japan and Czechia. Reinhard Farwig's co-authors include Hermann Sohr, Hideo Kozono, Toshiaki Hishida, Jiřı́ Neustupa, Giovanni P. Galdi, Yasushi Taniuchi, Werner Varnhorn, Detlef Müller, Šárka Nečasová and Mirosłav Krbec and has published in prestigious journals such as Mathematics of Computation, SIAM Journal on Numerical Analysis and Journal of Mathematical Analysis and Applications.

In The Last Decade

Reinhard Farwig

110 papers receiving 1.6k citations

Peers

Countries citing papers authored by Reinhard Farwig

Since Specialization

Citations

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

Fields of papers citing papers by Reinhard Farwig

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Reinhard Farwig

This figure shows the co-authorship network connecting the top 25 collaborators of Reinhard Farwig. A scholar is included among the top collaborators of Reinhard Farwig 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 Reinhard Farwig. Reinhard Farwig is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	The time periodic problem for the Navier-Stokes equations on half spaces with moving boundary: Linear theory 2024 ·Journal of Differential Equations ·Reinhard Farwig, (unknown)	0
2	Sobolev spaces on arbitrary domains and semigroups generated by the fractional Laplacian 2024 ·Bulletin des Sciences Mathématiques ·Reinhard Farwig, Tsukasa Iwabuchi	0
3	From Jean Leray to the millennium problem: the Navier–Stokes equations 2020 ·Journal of Evolution Equations ·Reinhard Farwig	5
4	Maximal regularity of the Stokes system with Navier boundary condition in general unbounded domains 2019 ·Journal of the Mathematical Society of Japan ·Reinhard Farwig, (unknown)	2
5	Incompressible inhomogeneous fluids in bounded domains of R3 with bounded density 2019 ·Journal of Functional Analysis ·Reinhard Farwig, Chenyin Qian, Ping Zhang	3
6	Asymptotic behavior for the quasi-geostrophic equations with fractional dissipation in R2 2018 ·Journal of Differential Equations ·Reinhard Farwig, Chenyin Qian	5
7	THE NAVIER-STOKES EQUATIONS WITH INITIAL VALUES IN BESOV SPACES OF TYPE B -1+3/q q, ∞ 2017 ·Journal of the Korean Mathematical Society ·Reinhard Farwig, Yoshikazu Giga, (unknown)	8
8	Existence of strong solutions and decay of turbulent solutions of Navier–Stokes flow with nonzero Dirichlet boundary data 2017 ·Journal of Mathematical Analysis and Applications ·Reinhard Farwig, Hideo Kozono, (unknown)	4
9	On the continuity of the solutions to the Navier-Stokes equations with initial data in critical Besov spaces 2016 ·EPrints - Department of Mathematics, Hokkaido University ·Reinhard Farwig, Yoshikazu Giga, (unknown)	2
10	The Navier-Stokes equations with initial values in Besov spaces of type $B_{q,\infty}^{-1+3/q}$ 2016 ·EPrints - Department of Mathematics, Hokkaido University ·Reinhard Farwig, Yoshikazu Giga, (unknown)	3
11	Very weak solutions of the stationary Stokes equations in unbounded domains of half space type 2015 ·Mathematica Bohemica ·Reinhard Farwig, (unknown)	2
12	Note on Friedrichs' inequality in N-star-shaped domains 2015 ·Journal of Mathematical Analysis and Applications ·Reinhard Farwig, (unknown)	5
13	Weak solutions of the Navier–Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality 2014 ·Journal of Differential Equations ·Reinhard Farwig, Hideo Kozono	7
14	Spectral analysis of a Stokes-type operator arising from flow around a rotating body 2011 ·Journal of the Mathematical Society of Japan ·Reinhard Farwig, Šárka Nečasová, Jiřı́ Neustupa	7
15	Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data 2007 ·Journal of the Mathematical Society of Japan ·Reinhard Farwig, Hideo Kozono, Hermann Sohr	25
16	Very weak solutions and large uniqueness classes of stationary Navier–Stokes equations in bounded domains of R2 2005 ·Journal of Differential Equations ·Reinhard Farwig, Giovanni P. Galdi, Hermann Sohr	23
17	L^q-theory of a singular “winding” integral operator arising from fluid dynamics 2004 ·Pacific Journal of Mathematics ·Reinhard Farwig, Toshiaki Hishida, Detlef Müller	49
18	Weighted Lq-theory for the Stokes resolvent in exterior domains 1997 ·Journal of the Mathematical Society of Japan ·Reinhard Farwig, Hermann Sohr	68
19	Generalized resolvent estimates for the Stokes system in bounded and unbounded domains 1994 ·Journal of the Mathematical Society of Japan ·Reinhard Farwig, Hermann Sohr	128
20	Multivariate interpolation of scattered data by moving least squares methods 1987 ·Clarendon Press eBooks ·Reinhard Farwig	18

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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