Galina Perelman

650 total citations
21 papers, 276 citations indexed

About

Galina Perelman is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Galina Perelman has authored 21 papers receiving a total of 276 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Mathematical Physics, 13 papers in Statistical and Nonlinear Physics and 4 papers in Applied Mathematics. Recurrent topics in Galina Perelman's work include Advanced Mathematical Physics Problems (14 papers), Nonlinear Waves and Solitons (11 papers) and Nonlinear Photonic Systems (6 papers). Galina Perelman is often cited by papers focused on Advanced Mathematical Physics Problems (14 papers), Nonlinear Waves and Solitons (11 papers) and Nonlinear Photonic Systems (6 papers). Galina Perelman collaborates with scholars based in France, United States and Russia. Galina Perelman's co-authors include Hajer Bahouri, V. S. Buslaev, Luis Vega, Maciej Zworski, Justin Holmer, Slim Ibrahim, Svetlana Roudenko and Sergei Kuksin and has published in prestigious journals such as Communications in Mathematical Physics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Galina Perelman

18 papers receiving 239 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Galina Perelman France	10	253	182	65	36	20	21	276
Mihai Mariş France	10	202 0.8×	110 0.6×	127 2.0×	25 0.7×	19 0.9×	15	253
Raphaël Côte France	14	370 1.5×	260 1.4×	113 1.7×	79 2.2×	5 0.3×	27	395
誉志雄堤	2	262 1.0×	107 0.6×	101 1.6×	66 1.8×	14 0.7×	2	267
Van Duong Dinh France	9	201 0.8×	109 0.6×	93 1.4×	56 1.6×	13 0.7×	37	221
Ademir Pastor Brazil	11	398 1.6×	349 1.9×	143 2.2×	65 1.8×	4 0.2×	43	444
Marco Ghimenti Italy	9	245 1.0×	59 0.3×	296 4.6×	35 1.0×	7 0.3×	39	364
Andrew Comech United States	8	140 0.6×	129 0.7×	37 0.6×	13 0.4×	39 1.9×	24	187
Younghun Hong South Korea	8	173 0.7×	68 0.4×	80 1.2×	36 1.0×	37 1.9×	27	199
Jacek Jendrej France	7	166 0.7×	92 0.5×	82 1.3×	36 1.0×	3 0.1×	23	189
Hüseyin Tuna Türkiye	9	212 0.8×	98 0.5×	183 2.8×	13 0.4×	27 1.4×	74	275

Countries citing papers authored by Galina Perelman

Since Specialization

Citations

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

Fields of papers citing papers by Galina Perelman

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Galina Perelman

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

All Works

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20 of 20 papers shown

Bahouri, Hajer, et al.. (2023). $H^s$ bounds for the derivative nonlinear Schrödinger equation. Mathematical Research Letters. 30(5). 1299–1333.

Bahouri, Hajer & Galina Perelman. (2022). Global well-posedness for the derivative nonlinear Schrödinger equation. Inventiones mathematicae. 229(2). 639–688. 19 indexed citations

Perelman, Galina, et al.. (2019). Blow up dynamics for the hyperbolic vanishing mean curvature flow of surfaces asymptotic to the Simons cone. Comptes Rendus Mathématique. 23(10). 3801–3887. 1 indexed citations

Holmer, Justin, Galina Perelman, & Svetlana Roudenko. (2015). A solution to the focusing 3d NLS that blows up on a contracting sphere. Transactions of the American Mathematical Society. 367(6). 3847–3872.

Perelman, Galina. (2014). Blow Up Dynamics for Equivariant Critical Schrödinger Maps. Communications in Mathematical Physics. 330(1). 69–105. 22 indexed citations

Bahouri, Hajer, Slim Ibrahim, & Galina Perelman. (2014). Scattering for the critical 2-D NLS with exponential growth. Differential and Integral Equations. 27(3/4). 9 indexed citations

Perelman, Galina, et al.. (2014). Nondispersive vanishing and blow up at infinity for the energy critical nonlinear Schrödinger equation in $\mathbb {R}^3$. St Petersburg Mathematical Journal. 25(2). 271–294. 7 indexed citations

Perelman, Galina. (2011). Two soliton collision for nonlinear Schrödinger equations in dimension 1. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 28(3). 357–384. 15 indexed citations

Holmer, Justin, Galina Perelman, & Maciej Zworski. (2011). Effective Dynamics of Double Solitons for Perturbed mKdV. Communications in Mathematical Physics. 305(2). 363–425. 16 indexed citations

10.

Kuksin, Sergei & Galina Perelman. (2010). Vey theorem in infinite dimensions and its application to KdV. Discrete and Continuous Dynamical Systems. 27(1). 1–24.

11.

Perelman, Galina. (2009). A remark on soliton-potential interactions for nonlinear Schrödinger equations. Mathematical Research Letters. 16(3). 477–486. 7 indexed citations

12.

Perelman, Galina & Luis Vega. (2007). Self-similar planar curves related to modified Korteweg–de Vries equation. Journal of Differential Equations. 235(1). 56–73. 10 indexed citations

13.

Perelman, Galina. (2005). . International Mathematics Research Notices. 2005(37). 2289–2289. 9 indexed citations

14.

Perelman, Galina. (2003). Asymptotic stability of solitary waves for nonlinear Schrödinger equations. French digital mathematics library (Numdam). 1–15. 2 indexed citations

15.

Perelman, Galina. (2003). On the Absolutely Continuous Spectrum of Stark Operators. Communications in Mathematical Physics. 234(2). 359–381. 2 indexed citations

16.

Perelman, Galina. (2001). On the Formation of Singularities in Solutions of the Critical Nonlinear Schrödinger Equation. Annales Henri Poincaré. 2(4). 605–673. 73 indexed citations

17.

Perelman, Galina. (2000). Evolution of adiabatically perturbed resonant states. Asymptotic Analysis. 22(3-4). 177–203. 3 indexed citations

18.

Perelman, Galina. (1996). Stability of solitary waves for nonlinear Schrödinger equation. French digital mathematics library (Numdam). 1–16. 1 indexed citations

19.

Buslaev, V. S. & Galina Perelman. (1995). Nonlinear scattering: The states which are close to a soliton. Journal of Mathematical Sciences. 77(3). 3161–3169. 19 indexed citations

20.

Perelman, Galina, et al.. (1990). Carleson's imbedding theorem for a weighted Bergman space. Mathematical Notes. 47(6). 577–581. 10 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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