C. David Levermore

7.3k total citations · 3 hit papers
81 papers, 4.9k citations indexed

About

C. David Levermore is a scholar working on Applied Mathematics, Statistical and Nonlinear Physics and Computational Mechanics. According to data from OpenAlex, C. David Levermore has authored 81 papers receiving a total of 4.9k indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Applied Mathematics, 29 papers in Statistical and Nonlinear Physics and 29 papers in Computational Mechanics. Recurrent topics in C. David Levermore's work include Gas Dynamics and Kinetic Theory (28 papers), Advanced Mathematical Physics Problems (18 papers) and Navier-Stokes equation solutions (18 papers). C. David Levermore is often cited by papers focused on Gas Dynamics and Kinetic Theory (28 papers), Advanced Mathematical Physics Problems (18 papers) and Navier-Stokes equation solutions (18 papers). C. David Levermore collaborates with scholars based in United States, France and Germany. C. David Levermore's co-authors include G. C. Pomraning, Peter D. Lax, Gui‐Qiang Chen, François Golse, Shi Jin, Claude Bardos, Charles R. Doering, Marcel Oliver, William J. Morokoff and J. S. W. Wong and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Physical Review Letters and The Astrophysical Journal.

In The Last Decade

C. David Levermore

79 papers receiving 4.4k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Moment closure hierarchies for kinetic theories

1996 619 citations C. David Levermore Journal of Statistical Physics profile →
Hyperbolic conservation laws with stiff relaxation terms and entropy

1994 482 citations C. David Levermore et al. Communications on Pure and Applied Mathematics profile →
A flux-limited diffusion theory

1981 428 citations C. David Levermore, G. C. Pomraning profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
C. David Levermore United States	36	2.3k	2.0k	1.3k	1.1k	615	81	4.9k
Carlo Cercignani Italy	32	5.1k 2.2×	3.5k 1.8×	1.4k 1.1×	1.1k 1.0×	357 0.6×	141	7.2k
James Glimm United States	53	2.4k 1.0×	3.9k 2.0×	868 0.7×	2.7k 2.5×	393 0.6×	260	9.0k
Yann Brenier France	27	2.3k 1.0×	1.1k 0.6×	397 0.3×	678 0.6×	321 0.5×	68	3.8k
Philip Rosenau Israel	38	724 0.3×	780 0.4×	3.7k 2.9×	1.3k 1.2×	364 0.6×	126	5.6k
P. L. Sulem France	35	575 0.3×	2.0k 1.0×	1.1k 0.9×	961 0.9×	1.8k 2.9×	134	5.0k
G. C. Pomraning United States	27	1.1k 0.5×	1.7k 0.8×	309 0.2×	1.0k 0.9×	431 0.7×	216	5.0k
Shi Jin United States	43	2.5k 1.1×	3.8k 1.9×	1.1k 0.8×	858 0.8×	120 0.2×	254	6.8k
Sergiù Klainerman United States	36	2.9k 1.3×	1000 0.5×	1.1k 0.9×	3.7k 3.4×	1.2k 1.9×	87	5.5k
Darryl D. Holm United States	45	1.9k 0.8×	2.7k 1.3×	6.8k 5.3×	2.9k 2.7×	893 1.5×	262	11.6k
K. M. Case United States	28	985 0.4×	1.1k 0.5×	902 0.7×	1.0k 0.9×	327 0.5×	97	4.6k

Countries citing papers authored by C. David Levermore

Since Specialization

Citations

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

Fields of papers citing papers by C. David Levermore

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by C. David Levermore. 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 C. David Levermore. The network helps show where C. David Levermore may publish in the future.

Co-authorship network of co-authors of C. David Levermore

This figure shows the co-authorship network connecting the top 25 collaborators of C. David Levermore. A scholar is included among the top collaborators of C. David Levermore 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 C. David Levermore. C. David Levermore 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

Levermore, C. David, Hailiang Liu, & Robert L. Pego. (2016). Global Dynamics of Bose--Einstein Condensation for a Model of the Kompaneets Equation. SIAM Journal on Mathematical Analysis. 48(4). 2454–2494. 5 indexed citations

Levermore, C. David, Weiran Sun, & Konstantina Trivisa. (2012). A Low Mach Number Limit of a Dispersive Navier–Stokes System. SIAM Journal on Mathematical Analysis. 44(3). 1760–1807. 10 indexed citations

Levermore, C. David & Weiran Sun. (2010). Compactness of the gain parts of the linearized Boltzmann operator with weakly cutoff kernels. Kinetic and Related Models. 3(2). 335–351. 13 indexed citations

Bardos, Claude, C. David Levermore, Seiji Ukai, & Tong Yang. (2008). KINETIC EQUATIONS: FLUID DYNAMICAL LIMITS AND VISCOUS HEATING. JCI Insight. 5(21). 7 indexed citations

Hauck, Cory D., C. David Levermore, & André L. Tits. (2008). Convex duality and entropy-based moment closures: Characterizing degenerate densities. 5092–5097. 3 indexed citations

Arnold, Anton, Pierre Degond, Irene M. Gamba, et al.. (2004). Dispersive Transport Equations and Multiscale Models. CERN Document Server (European Organization for Nuclear Research). 8 indexed citations

Bardos, Claude, et al.. (2000). The Acoustic Limit for the Boltzmann Equation. Archive for Rational Mechanics and Analysis. 153(3). 177–204. 45 indexed citations

Levermore, C. David & William J. Morokoff. (1998). The Gaussian Moment Closure for Gas Dynamics. SIAM Journal on Applied Mathematics. 59(1). 72–96. 96 indexed citations

Levermore, C. David & Marcel Oliver. (1997). Distribution-valued initial data for the complex ginzburg-landau equation. Communications in Partial Differential Equations. 22(1-2). 39–48. 12 indexed citations

10.

Levermore, C. David & Marcel Oliver. (1997). Analyticity of Solutions for a Generalized Euler Equation. Journal of Differential Equations. 133(2). 321–339. 87 indexed citations

11.

Deift, Percy, C. David Levermore, & C. Eugene Wayne. (1996). Dynamical systems and probabilistic methods in partial differential equations : 1994 Summer Seminar on Dynamical Systems and Probabilistic Methods for Nonlinear Waves, June 20-July 1, 1994, MSRI, Berkeley, CA. American Mathematical Society eBooks.

12.

Levermore, C. David. (1996). Moment closure hierarchies for kinetic theories. Journal of Statistical Physics. 83(5-6). 1021–1065. 619 indexed citations breakdown →

13.

Levermore, C. David, Marcel Oliver, & Edriss S. Titi. (1996). Global well-posedness for the lake equations. Physica D Nonlinear Phenomena. 98(2-4). 492–509. 31 indexed citations

14.

Miller, Peter D., Nicholas M. Ercolani, I. M. Krichever, & C. David Levermore. (1995). Finite genus solutions to the Ablowitz‐Ladik equations. Communications on Pure and Applied Mathematics. 48(12). 1369–1440. 88 indexed citations

15.

Levermore, C. David, et al.. (1995). Convergence of Convective–Diffusive Lattice Boltzmann Methods. SIAM Journal on Numerical Analysis. 32(5). 1327–1354. 18 indexed citations

16.

Jin, Shi & C. David Levermore. (1993). Fully-discrete numerical transfer in diffusive regimes. Transport Theory and Statistical Physics. 22(6). 739–791. 51 indexed citations

17.

Levermore, C. David & G. B. Zimmerman. (1993). Modeling charged particle loss in a fuel/shell mixture. Journal of Mathematical Physics. 34(10). 4725–4729. 5 indexed citations

18.

Hagan, Patrick S., Charles R. Doering, & C. David Levermore. (1989). the distribution of exit times for weakly colored noise. Journal of Statistical Physics. 54(5-6). 1321–1352. 28 indexed citations

19.

Levermore, C. David, J. S. W. Wong, & G. C. Pomraning. (1988). Renewal theory for transport processes in binary statistical mixtures. Journal of Mathematical Physics. 29(4). 995–1004. 75 indexed citations

20.

Boghosian, Bruce M. & C. David Levermore. (1987). A Cellular Automaton for Burgers' Equation.. Complex Systems. 1. 23 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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