Gabriel S. Koch

505 total citations
7 papers, 249 citations indexed

About

Gabriel S. Koch is a scholar working on Applied Mathematics, Mathematical Physics and Control and Systems Engineering. According to data from OpenAlex, Gabriel S. Koch has authored 7 papers receiving a total of 249 indexed citations (citations by other indexed papers that have themselves been cited), including 7 papers in Applied Mathematics, 6 papers in Mathematical Physics and 2 papers in Control and Systems Engineering. Recurrent topics in Gabriel S. Koch's work include Navier-Stokes equation solutions (6 papers), Advanced Mathematical Physics Problems (6 papers) and Fluid Dynamics and Turbulent Flows (2 papers). Gabriel S. Koch is often cited by papers focused on Navier-Stokes equation solutions (6 papers), Advanced Mathematical Physics Problems (6 papers) and Fluid Dynamics and Turbulent Flows (2 papers). Gabriel S. Koch collaborates with scholars based in United Kingdom, France and Slovakia. Gabriel S. Koch's co-authors include Nikolaï Nadirashvili, G. Serëgin, Vladimír Šverák, Fabrice Planchon, Isabelle Gallagher and Carlos E. Kenig and has published in prestigious journals such as Communications in Mathematical Physics, Acta Mathematica and Mathematische Annalen.

In The Last Decade

Gabriel S. Koch

7 papers receiving 232 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Gabriel S. Koch United Kingdom	5	234	192	101	78	33	7	249
Zhuan Ye China	10	314 1.3×	272 1.4×	138 1.4×	98 1.3×	20 0.6×	19	319
Hideyuki Miura Japan	10	256 1.1×	194 1.0×	115 1.1×	64 0.8×	41 1.2×	21	275
Ryo Takada Japan	10	245 1.0×	211 1.1×	62 0.6×	97 1.2×	19 0.6×	25	275
Ondřej Kreml Czechia	9	218 0.9×	124 0.6×	34 0.3×	147 1.9×	15 0.5×	18	244
Haifeng Shang China	10	326 1.4×	273 1.4×	191 1.9×	44 0.6×	71 2.2×	40	337
Frédéric Charve France	9	288 1.2×	225 1.2×	42 0.4×	162 2.1×	23 0.7×	18	291
In‐Jee Jeong South Korea	9	218 0.9×	130 0.7×	27 0.3×	130 1.7×	19 0.6×	25	250
Boris Haspot France	9	258 1.1×	215 1.1×	43 0.4×	175 2.2×	7 0.2×	25	267
Lizhi Ruan China	10	220 0.9×	167 0.9×	36 0.4×	117 1.5×	30 0.9×	32	251

Countries citing papers authored by Gabriel S. Koch

Since Specialization

Citations

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

Fields of papers citing papers by Gabriel S. Koch

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gabriel S. Koch. 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 Gabriel S. Koch. The network helps show where Gabriel S. Koch may publish in the future.

Co-authorship network of co-authors of Gabriel S. Koch

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

All Works

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7 of 7 papers shown

1.

Koch, Gabriel S.. (2023). Parabolic fractal dimension of forward-singularities for Navier-Stokes and liquid crystals inequalities. Discrete and Continuous Dynamical Systems. 44(3). 678–701. 1 indexed citations

2.

Koch, Gabriel S.. (2023). Partial regularity for Navier–Stokes and liquidcrystals inequalities without maximum principle. Analysis & PDE. 16(7). 1701–1744. 3 indexed citations

3.

Gallagher, Isabelle, Gabriel S. Koch, & Fabrice Planchon. (2016). Blow-up of Critical Besov Norms at a Potential Navier–Stokes Singularity. Communications in Mathematical Physics. 343(1). 39–82. 24 indexed citations

4.

Gallagher, Isabelle, Gabriel S. Koch, & Fabrice Planchon. (2012). A profile decomposition approach to the $$L^\infty _t(L^{3}_x)$$ Navier–Stokes regularity criterion. Mathematische Annalen. 355(4). 1527–1559. 17 indexed citations

5.

Kenig, Carlos E. & Gabriel S. Koch. (2010). An alternative approach to regularity for the Navier–Stokes equations in critical spaces. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 28(2). 159–187. 23 indexed citations

6.

Koch, Gabriel S.. (2010). Profile decompositions for critical Lebesgue and Besov space embeddings. Indiana University Mathematics Journal. 59(5). 1801–1830. 12 indexed citations

7.

Koch, Gabriel S., Nikolaï Nadirashvili, G. Serëgin, & Vladimír Šverák. (2009). Liouville theorems for the Navier–Stokes equations and applications. Acta Mathematica. 203(1). 83–105. 169 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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