Steve Shkoller

4.4k total citations
67 papers, 2.5k citations indexed

About

Steve Shkoller is a scholar working on Applied Mathematics, Computational Mechanics and Mathematical Physics. According to data from OpenAlex, Steve Shkoller has authored 67 papers receiving a total of 2.5k indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Applied Mathematics, 33 papers in Computational Mechanics and 21 papers in Mathematical Physics. Recurrent topics in Steve Shkoller's work include Navier-Stokes equation solutions (27 papers), Computational Fluid Dynamics and Aerodynamics (19 papers) and Advanced Mathematical Physics Problems (17 papers). Steve Shkoller is often cited by papers focused on Navier-Stokes equation solutions (27 papers), Computational Fluid Dynamics and Aerodynamics (19 papers) and Advanced Mathematical Physics Problems (17 papers). Steve Shkoller collaborates with scholars based in United States, United Kingdom and Taiwan. Steve Shkoller's co-authors include Daniel Coutand, Jerrold E. Marsden, George W. Patrick, C. H. Arthur Cheng, Sergey Pekarsky, Tudor S. Raţiu, Rafael Granero-Belinchón, Vlad Vicol, Kamran Mohseni and Branko Kosović and has published in prestigious journals such as Proceedings of the National Academy of Sciences, SHILAP Revista de lepidopterología and Journal of Fluid Mechanics.

In The Last Decade

Steve Shkoller

66 papers receiving 2.3k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Steve Shkoller United States	29	1.3k	1.1k	818	511	503	67	2.5k
Kevin Zumbrun United States	32	2.4k 1.8×	1.6k 1.4×	1.6k 2.0×	465 0.9×	284 0.6×	146	3.4k
Hailiang Liu United States	26	970 0.8×	1.3k 1.1×	591 0.7×	430 0.8×	505 1.0×	129	2.3k
J. Thomas Beale United States	27	1.5k 1.2×	1.8k 1.6×	1.1k 1.3×	236 0.5×	141 0.3×	51	3.2k
Jean‐Claude Saut France	37	1.8k 1.4×	640 0.6×	3.2k 3.9×	2.2k 4.3×	216 0.4×	118	4.4k
Yan Guo United States	37	3.5k 2.7×	2.0k 1.8×	1.8k 2.2×	438 0.9×	84 0.2×	134	4.2k
Jean‐Michel Ghidaglia France	21	449 0.3×	722 0.6×	737 0.9×	434 0.8×	111 0.2×	92	1.8k
Cathleen S. Morawetz United States	27	987 0.8×	448 0.4×	1.3k 1.5×	298 0.6×	263 0.5×	67	2.3k
L. E. Fraenkel United Kingdom	19	669 0.5×	756 0.7×	263 0.3×	182 0.4×	195 0.4×	62	1.7k
Zhouping Xin Hong Kong	45	6.1k 4.7×	3.9k 3.4×	4.3k 5.3×	678 1.3×	239 0.5×	160	7.1k
Tai-Ping Liu United States	37	4.1k 3.2×	2.5k 2.2×	2.6k 3.1×	288 0.6×	163 0.3×	99	4.7k

Countries citing papers authored by Steve Shkoller

Since Specialization

Citations

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

Fields of papers citing papers by Steve Shkoller

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Steve Shkoller

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Shkoller, Steve, et al.. (2025). A characteristics approach to shock formation in 2D Euler with azimuthal symmetry and entropy. SHILAP Revista de lepidopterología. 17(1). 188–236.

Shkoller, Steve, et al.. (2023). A new type of stable shock formation in gas dynamics. Communications on Pure & Applied Analysis. 23(10). 1423–1447. 1 indexed citations

Granero-Belinchón, Rafael & Steve Shkoller. (2016). A model for Rayleigh-Taylor mixing and interface turn-over. UCrea (University of Cantabria). 15 indexed citations

Hadžić, Mahir, Steve Shkoller, & Jared Speck. (2015). A priori estimates for solutions to the relativistic Euler equations\n with a moving vacuum boundary. arXiv (Cornell University). 9 indexed citations

Cheng, C. H. Arthur, Rafael Granero-Belinchón, & Steve Shkoller. (2015). Well-posedness of the Muskat problem with H 2 initial data. Advances in Mathematics. 286. 32–104. 40 indexed citations

Cheng, C. H. Arthur, Daniel Coutand, & Steve Shkoller. (2014). Global existence and decay for solutions of the Hele–Shaw flow with injection. Interfaces and Free Boundaries Mathematical Analysis Computation and Applications. 16(3). 297–338. 10 indexed citations

Coutand, Daniel & Steve Shkoller. (2012). On the finite-time splash singularity for the 3-D free-surface Euler equations. arXiv (Cornell University). 1 indexed citations

Reisner, Jon, et al.. (2012). A space–time smooth artificial viscosity method for nonlinear conservation laws. Journal of Computational Physics. 235. 912–933. 31 indexed citations

Coutand, Daniel & Steve Shkoller. (2010). Well‐posedness in smooth function spaces for moving‐boundary 1‐D compressible euler equations in physical vacuum. Communications on Pure and Applied Mathematics. 64(3). 328–366. 90 indexed citations

10.

Shkoller, Steve. (2001). Smooth global Lagrangian flow for the 2D Euler and second-grade fluid equations. Applied Mathematics Letters. 14(5). 539–543. 20 indexed citations

11.

Oliver, Marcel & Steve Shkoller. (2001). THE VORTEX BLOB METHOD AS A SECOND-GRADE NON-NEWTONIAN FLUID. Communications in Partial Differential Equations. 26(1-2). 295–314. 34 indexed citations

12.

Nadiga, Balasubramanya & Steve Shkoller. (2001). Enhancement of the inverse-cascade of energy in the two-dimensional Lagrangian-averaged Navier–Stokes equations. Physics of Fluids. 13(5). 1528–1531. 14 indexed citations

13.

Shkoller, Steve, et al.. (2000). A variational approach to second-order multisymplectic field theory. Journal of Geometry and Physics. 35(4). 333–366. 29 indexed citations

14.

Shkoller, Steve. (1999). Groups of diffeomorphisms for manifolds with boundary and hydrodynamics. arXiv (Cornell University). 3 indexed citations

15.

López, Marco Castrillón, Tudor S. Raţiu, & Steve Shkoller. (1999). Reduction in principal fiber bundles: Covariant Euler-Poincaré equations. Proceedings of the American Mathematical Society. 128(7). 2155–2164. 29 indexed citations

16.

Shkoller, Steve. (1999). Book Review: Topological methods in hydrodynamics. Bulletin of the American Mathematical Society. 37(2). 175–182. 1 indexed citations

17.

Shkoller, Steve. (1998). Geometry and Curvature of Diffeomorphism Groups withH1Metric and Mean Hydrodynamics. Journal of Functional Analysis. 160(1). 337–365. 91 indexed citations

18.

Shkoller, Steve. (1997). An approximate homogenization scheme for nonperiodic materials. Computers & Mathematics with Applications. 33(4). 15–34. 12 indexed citations

19.

Shkoller, Steve & G. A. Hegemier. (1995). Homogenization of plain weave composites using two-scale convergence. International Journal of Solids and Structures. 32(6-7). 783–794. 8 indexed citations

20.

Shkoller, Steve, A. Maewal, & G. A. Hegemier. (1994). A dispersive continuum model of jointed media. Quarterly of Applied Mathematics. 52(3). 481–498. 2 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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