Rémi Carles

1.7k total citations
83 papers, 949 citations indexed

About

Rémi Carles is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Atomic and Molecular Physics, and Optics. According to data from OpenAlex, Rémi Carles has authored 83 papers receiving a total of 949 indexed citations (citations by other indexed papers that have themselves been cited), including 73 papers in Mathematical Physics, 41 papers in Statistical and Nonlinear Physics and 21 papers in Atomic and Molecular Physics, and Optics. Recurrent topics in Rémi Carles's work include Advanced Mathematical Physics Problems (73 papers), Nonlinear Photonic Systems (27 papers) and Nonlinear Waves and Solitons (20 papers). Rémi Carles is often cited by papers focused on Advanced Mathematical Physics Problems (73 papers), Nonlinear Photonic Systems (27 papers) and Nonlinear Waves and Solitons (20 papers). Rémi Carles collaborates with scholars based in France, United States and China. Rémi Carles's co-authors include Sahbi Keraani, Christof Sparber, Clotilde Fermanian Kammerer, Valeria Banica, Isabelle Gallagher, Paolo Antonelli, Raphaël Danchin, Jean‐Claude Saut, Erwan Faou and Hichem Hajaiej and has published in prestigious journals such as Mathematics of Computation, Communications in Mathematical Physics and SIAM Journal on Numerical Analysis.

In The Last Decade

Rémi Carles

77 papers receiving 848 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Rémi Carles France 17 748 434 238 215 126 83 949
Alexander Komech Russia 18 700 0.9× 485 1.1× 137 0.6× 94 0.4× 148 1.2× 87 850
Christof Sparber United States 16 404 0.5× 387 0.9× 332 1.4× 107 0.5× 44 0.3× 49 803
Atanas Stefanov United States 17 497 0.7× 402 0.9× 126 0.5× 226 1.1× 127 1.0× 65 739
Benoît Grébert France 15 542 0.7× 551 1.3× 147 0.6× 68 0.3× 66 0.5× 62 786
Stephen J. Gustafson Canada 17 578 0.8× 420 1.0× 130 0.5× 191 0.9× 89 0.7× 32 762
Justin Holmer United States 17 936 1.3× 643 1.5× 195 0.8× 224 1.0× 167 1.3× 40 1.1k
Scipio Cuccagna Italy 17 817 1.1× 576 1.3× 99 0.4× 146 0.7× 122 1.0× 58 904
Dario Bambusi Italy 19 645 0.9× 1.2k 2.7× 247 1.0× 47 0.2× 128 1.0× 75 1.3k
Jeremy L. Marzuola United States 13 400 0.5× 221 0.5× 117 0.5× 118 0.5× 67 0.5× 64 574
Vadim Zharnitsky United States 14 210 0.3× 366 0.8× 205 0.9× 72 0.3× 51 0.4× 48 580

Countries citing papers authored by Rémi Carles

Since Specialization
Citations

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

Fields of papers citing papers by Rémi Carles

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Rémi Carles

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

All Works

20 of 20 papers shown
1.
Carles, Rémi, et al.. (2024). On the Cauchy problem for logarithmic fractional Schrödinger equation. Portugaliae Mathematica. 82(1). 155–175.
2.
Carles, Rémi, et al.. (2024). Low regularity solutions to the logarithmicSchrödinger equation. SPIRE - Sciences Po Institutional REpository. 6(3). 859–871. 2 indexed citations
3.
Carles, Rémi & Chunmei Su. (2022). Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential. Communications in Partial Differential Equations. 47(6). 1176–1192. 3 indexed citations
4.
Carles, Rémi & Yavdat Il’yasov. (2022). On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential. Studies in Applied Mathematics. 150(1). 92–118. 2 indexed citations
5.
Burghardt, Irène, Rémi Carles, Clotilde Fermanian Kammerer, Benjamin Lasorne, & Caroline Lasser. (2022). Dynamical approximations for composite quantum systems: assessment of error estimates for a separable ansatz. Journal of Physics A Mathematical and Theoretical. 55(22). 224010–224010. 2 indexed citations
6.
Carles, Rémi, et al.. (2022). Global weak solutions for quantum isothermal fluids. Annales de l’institut Fourier. 72(6). 2241–2298. 1 indexed citations
7.
Carles, Rémi, et al.. (2022). Numerical study of the logarithmic Schrödinger equation with repulsive harmonic potential. Discrete and Continuous Dynamical Systems - B. 28(5). 3136–3159. 2 indexed citations
8.
Carles, Rémi, et al.. (2021). Large-time behavior of compressible polytropic fluids and nonlinear Schr{\"o}dinger equation. arXiv (Cornell University). 1 indexed citations
9.
Carles, Rémi, et al.. (2018). Rigidity results in generalized isothermal fluids. HAL (Le Centre pour la Communication Scientifique Directe). 9 indexed citations
10.
Carles, Rémi, et al.. (2012). Geometric optics and instability for NLS and Davey–Stewartson models. Journal of the European Mathematical Society. 14(6). 1885–1921. 12 indexed citations
11.
Carles, Rémi, et al.. (2010). Finite time stabilization of Schrodinger equation. arXiv (Cornell University). 1 indexed citations
12.
Carles, Rémi. (2008). On the Cauchy problem in Sobolev spaces for nonlinear Schrödinger equations with potential. Portugaliae Mathematica. 65(2). 191–209. 8 indexed citations
13.
Carles, Rémi, et al.. (2008). \tOn the time evolution of Wigner measures for Schrödinger equations. 10 indexed citations
14.
Carles, Rémi & Sahbi Keraani. (2006). On the role of quadratic oscillations in nonlinear Schrödinger equations II. The $L^2$-critical case. Transactions of the American Mathematical Society. 359(1). 33–62. 56 indexed citations
15.
Alazard, Thomas & Rémi Carles. (2006). Semi-classical limit of Schrödinger–Poisson equations in space dimension n⩾3. Journal of Differential Equations. 233(1). 241–275. 11 indexed citations
16.
Carles, Rémi, et al.. (2005). Scattering theory for the Schrödinger equation with repulsive potential. Journal de Mathématiques Pures et Appliquées. 84(5). 509–579. 15 indexed citations
17.
Carles, Rémi. (2005). Global existence results for nonlinear Schrödinger equations with quadratic potentials. Discrete and Continuous Dynamical Systems. 12(2). 385–398. 23 indexed citations
18.
Carles, Rémi & Jeffrey Rauch. (2004). Focusing of spherical nonlinear pulses in ${\mathbb R}^{1+3}$, II. Nonlinear caustic. Revista Matemática Iberoamericana. 20(3). 815–864. 1 indexed citations
19.
Carles, Rémi. (2002). Équation de Schrödinger semi-classique avec potentiel harmonique et perturbation non-linéaire. French digital mathematics library (Numdam). 1–12. 1 indexed citations
20.
Carles, Rémi. (2001). Remarks on the nonlinear Schroedinger equation with harmonic potential. arXiv (Cornell University). 8 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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2026