Monica Vişan

3.7k total citations
49 papers, 1.6k citations indexed

About

Monica Vişan is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Monica Vişan has authored 49 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 49 papers in Mathematical Physics, 28 papers in Statistical and Nonlinear Physics and 10 papers in Applied Mathematics. Recurrent topics in Monica Vişan's work include Advanced Mathematical Physics Problems (49 papers), Nonlinear Waves and Solitons (26 papers) and Nonlinear Photonic Systems (12 papers). Monica Vişan is often cited by papers focused on Advanced Mathematical Physics Problems (49 papers), Nonlinear Waves and Solitons (26 papers) and Nonlinear Photonic Systems (12 papers). Monica Vişan collaborates with scholars based in United States, China and France. Monica Vişan's co-authors include Rowan Killip, Xiaoyi Zhang, Terence Tao, Xiaoyi Zhang, Jiqiang Zheng, Daniel Tataru, Herbert Koch, Jason Murphy, Tadahiro Oh and Oana Pocovnicu and has published in prestigious journals such as Transactions of the American Mathematical Society, Archive for Rational Mechanics and Analysis and Inventiones mathematicae.

In The Last Decade

Monica Vişan

45 papers receiving 1.4k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Monica Vişan United States 22 1.5k 756 588 273 119 49 1.6k
Justin Holmer United States 17 936 0.6× 643 0.9× 224 0.4× 167 0.6× 55 0.5× 40 1.1k
Joachim Krieger Switzerland 16 717 0.5× 376 0.5× 302 0.5× 185 0.7× 49 0.4× 44 737
Nicola Visciglia Italy 18 723 0.5× 274 0.4× 378 0.6× 137 0.5× 29 0.2× 58 775
A. Shadi Tahvildar‐Zadeh United States 13 616 0.4× 205 0.3× 367 0.6× 134 0.5× 91 0.8× 24 729
Sigmund Selberg Norway 15 548 0.4× 178 0.2× 311 0.5× 164 0.6× 116 1.0× 30 604
Scipio Cuccagna Italy 17 817 0.5× 576 0.8× 146 0.2× 122 0.4× 18 0.2× 58 904
Sebastian Herr Germany 12 511 0.3× 256 0.3× 259 0.4× 100 0.4× 54 0.5× 30 542
Masahito Ohta Japan 18 734 0.5× 482 0.6× 249 0.4× 235 0.9× 12 0.1× 53 828
Franck Merle France 16 770 0.5× 385 0.5× 418 0.7× 225 0.8× 15 0.1× 17 907
Nikolaos Tzirakis United States 13 426 0.3× 253 0.3× 172 0.3× 125 0.5× 23 0.2× 34 460

Countries citing papers authored by Monica Vişan

Since Specialization
Citations

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

Fields of papers citing papers by Monica Vişan

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Monica Vişan

This figure shows the co-authorship network connecting the top 25 collaborators of Monica Vişan. A scholar is included among the top collaborators of Monica Vişan 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 Monica Vişan. Monica Vişan 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.
Killip, Rowan, et al.. (2024). Global well-posedness for the derivative nonlinear Schrödinger equation in $L^{2}(\R)$. Journal of the European Mathematical Society. 28(2). 843–924. 3 indexed citations
2.
Killip, Rowan, et al.. (2024). Bounded solutions of KdV: Uniqueness and the loss of almost periodicity. Duke Mathematical Journal. 173(7). 2 indexed citations
3.
Killip, Rowan, et al.. (2023). Continuum limit for the Ablowitz–Ladik system. Nonlinearity. 36(7). 3751–3775.
4.
Killip, Rowan, et al.. (2023). On the well-posedness problem for the derivativenonlinear Schrödinger equation. Analysis & PDE. 16(5). 1245–1270. 10 indexed citations
5.
Killip, Rowan, Jason Murphy, & Monica Vişan. (2022). The scattering map determines the nonlinearity. Proceedings of the American Mathematical Society. 6 indexed citations
6.
Killip, Rowan, et al.. (2021). Global Well-Posedness for the Fifth-Order KdV Equation in $$H^{-1}(\pmb {\mathbb {R}})$$. 7(2). 13 indexed citations
7.
Killip, Rowan, Monica Vişan, & Xiaoyi Zhang. (2021). Finite-dimensional approximation and non-squeezing for the cubic nonlinear Schrödinger equation on ℝ2. American Journal of Mathematics. 143(2). 613–680. 1 indexed citations
8.
Killip, Rowan, Monica Vişan, & Xiaoyi Zhang. (2018). Low regularity conservation laws for integrable PDE. Geometric and Functional Analysis. 28(4). 1062–1090. 48 indexed citations
9.
Killip, Rowan, Monica Vişan, & Xiaoyi Zhang. (2017). Symplectic Non-Squeezing for the Cubic NLS on the Line. International Mathematics Research Notices. 2019(5). 1312–1332. 2 indexed citations
10.
Killip, Rowan, Monica Vişan, & Xiaoyi Zhang. (2016). The Focusing Cubic NLS on Exterior Domains in Three Dimensions. HighWire Press Open Archive. 2016(1). 146–180. 11 indexed citations
11.
Koch, Herbert, Daniel Tataru, & Monica Vişan. (2014). Dispersive Equations and Nonlinear Waves: Generalized Korteweg–de Vries, Nonlinear Schrödinger, Wave and Schrödinger Maps. CERN Document Server (European Organization for Nuclear Research). 9 indexed citations
12.
Vişan, Monica. (2011). Global Well-posedness and Scattering for the Defocusing Cubic nonlinear Schrödinger equation in Four Dimensions. International Mathematics Research Notices. 2012(5). 1037–1067. 23 indexed citations
13.
Killip, Rowan & Monica Vişan. (2010). The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher. American Journal of Mathematics. 132(2). 361–424. 108 indexed citations
14.
Killip, Rowan & Monica Vişan. (2010). Energy-Supercritical NLS: Critical[Hdot]s-Bounds Imply Scattering. Communications in Partial Differential Equations. 35(6). 945–987. 36 indexed citations
15.
Killip, Rowan, Terence Tao, & Monica Vişan. (2009). The cubic nonlinear Schrödinger equation in two dimensions with radial data. Journal of the European Mathematical Society. 11(6). 1203–1258. 95 indexed citations
16.
Killip, Rowan, Monica Vişan, & Xiaoyi Zhang. (2008). The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher. Analysis & PDE. 1(2). 229–266. 74 indexed citations
17.
Tao, Terence, Monica Vişan, & Xiaoyi Zhang. (2008). Minimal-mass blowup solutions of the mass-critical NLS. Forum Mathematicum. 20(5). 79 indexed citations
18.
Vişan, Monica. (2007). The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions. Duke Mathematical Journal. 138(2). 134 indexed citations
19.
Vişan, Monica, et al.. (2007). Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4. American Journal of Mathematics. 129(1). 1–60. 133 indexed citations
20.
Tao, Terence, Monica Vişan, & Xiaoyi Zhang. (2007). The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities. Communications in Partial Differential Equations. 32(8). 1281–1343. 158 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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