C. J. Amick

2.4k total citations
42 papers, 1.6k citations indexed

About

C. J. Amick is a scholar working on Statistical and Nonlinear Physics, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, C. J. Amick has authored 42 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Statistical and Nonlinear Physics, 16 papers in Applied Mathematics and 12 papers in Mathematical Physics. Recurrent topics in C. J. Amick's work include Nonlinear Waves and Solitons (14 papers), Advanced Mathematical Modeling in Engineering (10 papers) and Differential Equations and Numerical Methods (9 papers). C. J. Amick is often cited by papers focused on Nonlinear Waves and Solitons (14 papers), Advanced Mathematical Modeling in Engineering (10 papers) and Differential Equations and Numerical Methods (9 papers). C. J. Amick collaborates with scholars based in United States, United Kingdom and Germany. C. J. Amick's co-authors include John Toland, L. E. Fraenkel, R. E. Turner, Klaus Kirchgässner, Jerry L. Bona, María E. Schonbek, J. B. McLeod, Vered Rom‐Kedar, Emily S. C. Ching and Leo P. Kadanoff and has published in prestigious journals such as Physica D Nonlinear Phenomena, Transactions of the American Mathematical Society and Archive for Rational Mechanics and Analysis.

In The Last Decade

C. J. Amick

40 papers receiving 1.4k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
C. J. Amick United States	22	611	601	592	508	267	42	1.6k
J. J. Mahony Australia	9	293 0.5×	1.2k 1.9×	686 1.2×	263 0.5×	93 0.3×	25	1.8k
П. И. Плотников Russia	17	282 0.5×	190 0.3×	216 0.4×	235 0.5×	175 0.7×	60	808
Vassilios A. Dougalis Greece	21	123 0.2×	477 0.8×	527 0.9×	161 0.3×	142 0.5×	77	1.4k
David Lannes France	15	290 0.5×	315 0.5×	391 0.7×	418 0.8×	47 0.2×	25	934
В. Е. Назайкинский Russia	19	369 0.6×	434 0.7×	583 1.0×	96 0.2×	252 0.9×	156	1.4k
Sijue Wu United States	11	605 1.0×	114 0.2×	498 0.8×	229 0.5×	165 0.6×	20	969
Susan Friedlander United States	19	643 1.1×	136 0.2×	336 0.6×	205 0.4×	86 0.3×	62	1.2k
David Lannes France	11	204 0.3×	889 1.5×	632 1.1×	368 0.7×	18 0.1×	21	1.4k
Guy Métivier France	25	1.1k 1.9×	249 0.4×	1.0k 1.7×	63 0.1×	268 1.0×	88	1.6k
Anatoli Babin United States	19	699 1.1×	162 0.3×	521 0.9×	110 0.2×	364 1.4×	69	1.3k

Countries citing papers authored by C. J. Amick

Since Specialization

Citations

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

Fields of papers citing papers by C. J. Amick

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of C. J. Amick

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

Amick, C. J. & R. E. Turner. (1994). Center manifolds in equations from hydrodynamics. Nonlinear Differential Equations and Applications NoDEA. 1(1). 47–90. 3 indexed citations

Amick, C. J.. (1994). On the theory of internal waves of permanent form in fluids of great depth. Transactions of the American Mathematical Society. 346(2). 399–419. 12 indexed citations

Amick, C. J. & John Toland. (1992). Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. European Journal of Applied Mathematics. 3(2). 97–114. 60 indexed citations

Amick, C. J.. (1991). On the asymptotic form of Navier-Stokes flow past a body in the plane. Journal of Differential Equations. 91(1). 149–167. 18 indexed citations

Amick, C. J. & John Toland. (1991). Uniqueness and related analytic properties for the Benjamin-Ono equation —a nonlinear Neumann problem in the plane. Acta Mathematica. 167(0). 107–126. 87 indexed citations

Amick, C. J., Jerry L. Bona, & María E. Schonbek. (1989). Decay of solutions of some nonlinear wave equations. Journal of Differential Equations. 81(1). 1–49. 162 indexed citations

Amick, C. J. & L. E. Fraenkel. (1988). The uniqueness of a family of steady vortex rings. Archive for Rational Mechanics and Analysis. 100(3). 207–241. 18 indexed citations

Amick, C. J. & L. E. Fraenkel. (1987). On the Behavior Near the Crest of Waves of Extreme Form. Transactions of the American Mathematical Society. 299(1). 273–273. 3 indexed citations

Amick, C. J. & L. E. Fraenkel. (1987). On the behavior near the crest of waves of extreme form. Transactions of the American Mathematical Society. 299(1). 273–298. 12 indexed citations

10.

Amick, C. J. & John Toland. (1987). The semi-analytic theory of standing waves. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 411(1840). 123–137. 23 indexed citations

11.

Amick, C. J. & R. E. Turner. (1986). A Global Theory of Internal Solitary Waves in Two-Fluid Systems. Transactions of the American Mathematical Society. 298(2). 431–431. 9 indexed citations

12.

Amick, C. J. & R. E. Turner. (1986). A global theory of internal solitary waves in two-fluid systems. Transactions of the American Mathematical Society. 298(2). 431–484. 83 indexed citations

13.

Amick, C. J. & John Toland. (1984). The limiting form of internal waves. Proceedings of the Royal Society of London A Mathematical and Physical Sciences. 394(1807). 329–344. 3 indexed citations

14.

Amick, C. J.. (1984). Semilinear elliptic eigenvalue problems on an infinite strip with an application to stratified fluids. French digital mathematics library (Numdam). 11(3). 441–499. 26 indexed citations

15.

Amick, C. J.. (1984). Regularity and uniqueness of solutions to the Boussinesq system of equations. Journal of Differential Equations. 54(2). 231–247. 51 indexed citations

16.

Amick, C. J.. (1983). Existence of Solutions to the Nonhomogeneous Steady Navier-Stokes Equations.. Defense Technical Information Center (DTIC). 2 indexed citations

17.

Amick, C. J. & John Toland. (1981). On periodic water-waves and their convergence to solitary waves in the long-wave limit. Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences. 303(1481). 633–669. 84 indexed citations

18.

Amick, C. J. & John Toland. (1981). On solitary water-waves of finite amplitude. Archive for Rational Mechanics and Analysis. 76(1). 9–95. 137 indexed citations

19.

Amick, C. J.. (1978). On the Dirichlet problem for infinite cylinders and equations with transversely varying coefficients. Journal of Differential Equations. 30(2). 248–279. 6 indexed citations

20.

Amick, C. J.. (1977). Steady solutions of the Navier-Stokes equations in unbounded channels and pipes. French digital mathematics library (Numdam). 4(3). 473–513. 58 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.

Explore authors with similar magnitude of impact