Ayman Kachmar

445 total citations
42 papers, 182 citations indexed

About

Ayman Kachmar is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Condensed Matter Physics. According to data from OpenAlex, Ayman Kachmar has authored 42 papers receiving a total of 182 indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Mathematical Physics, 26 papers in Computational Theory and Mathematics and 12 papers in Condensed Matter Physics. Recurrent topics in Ayman Kachmar's work include Spectral Theory in Mathematical Physics (33 papers), Advanced Mathematical Modeling in Engineering (25 papers) and Numerical methods in inverse problems (19 papers). Ayman Kachmar is often cited by papers focused on Spectral Theory in Mathematical Physics (33 papers), Advanced Mathematical Modeling in Engineering (25 papers) and Numerical methods in inverse problems (19 papers). Ayman Kachmar collaborates with scholars based in Lebanon, France and China. Ayman Kachmar's co-authors include Søren Fournais, Bernard Helffer, Nicolas Raymond, Xing‐Bin Pan, Vladimir Lotoreichik, Mikael Persson and Hassen Aydi and has published in prestigious journals such as Journal of Differential Equations, Journal of Mathematical Physics and Advances in Mathematics.

In The Last Decade

Ayman Kachmar

40 papers receiving 181 citations

Peers

Ayman Kachmar

MP

CTM

CMP

SNP

AMPO

Georgi Raikov Chile

Victor Chulaevsky France

Tulkin H. Rasulov Uzbekistan

Serguei Tcheremchantsev France

Semjon Vugalter Germany

Vladimir Lotoreichik Czechia

Julian Ławrynowicz Poland

T. J. Christiansen United States

Bernardo Uribe Colombia

Michele Correggi Italy

Georgi Raikov Chile

Ayman Kachmar

231 ×1.6

MP

145 ×1.2

CTM

11 ×0.2

CMP

65 ×2.2

SNP

29 ×1.0

AMPO

Citations per year, relative to Ayman Kachmar Ayman Kachmar (= 1×) peers Georgi Raikov

Countries citing papers authored by Ayman Kachmar

Since Specialization

Citations

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

Fields of papers citing papers by Ayman Kachmar

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ayman Kachmar

This figure shows the co-authorship network connecting the top 25 collaborators of Ayman Kachmar. A scholar is included among the top collaborators of Ayman Kachmar 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 Ayman Kachmar. Ayman Kachmar 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

1.

Helffer, Bernard, et al.. (2024). Semiclassical eigenvalue estimates under magnetic steps. Analysis & PDE. 17(2). 535–585. 3 indexed citations

2.

Kachmar, Ayman, et al.. (2024). On the Laplace operator with a weak magnetic field in exterior domains. Analysis and Mathematical Physics. 15(1). 2 indexed citations

3.

Helffer, Bernard & Ayman Kachmar. (2023). Helical magnetic fields and semi-classical asymptotics of the lowest eigenvalue. Documenta Mathematica. 28(4). 857–901.

4.

Fournais, Søren, Bernard Helffer, Ayman Kachmar, & Nicolas Raymond. (2023). Effective operators on an attractive magnetic edge. arXiv (Cornell University). 10. 917–944. 2 indexed citations

5.

Kachmar, Ayman, et al.. (2022). Lowest energy band function for magnetic steps. Journal of Spectral Theory. 12(2). 813–833. 5 indexed citations

6.

Kachmar, Ayman & Vladimir Lotoreichik. (2022). On the Isoperimetric Inequality for the Magnetic Robin Laplacian with Negative Boundary Parameter. Journal of Geometric Analysis. 32(6). 6 indexed citations

7.

Kachmar, Ayman & Xing‐Bin Pan. (2020). Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential. Journal of Functional Analysis. 279(10). 108718–108718. 4 indexed citations

8.

Kachmar, Ayman, et al.. (2020). Counterexample to Strong Diamagnetism for the Magnetic Robin Laplacian. Mathematical Physics Analysis and Geometry. 23(3). 7 indexed citations

9.

Kachmar, Ayman & Nicolas Raymond. (2019). Tunnel effect in a shrinking shell enlacing a magnetic field. Revista Matemática Iberoamericana. 35(7). 2053–2070. 1 indexed citations

10.

Kachmar, Ayman & Xing‐Bin Pan. (2019). Superconductivity and the Aharonov–Bohm effect. Comptes Rendus Mathématique. 357(2). 216–220. 6 indexed citations

11.

Helffer, Bernard & Ayman Kachmar. (2018). The density of superconductivity in domains with corners. Letters in Mathematical Physics. 108(9). 2169–2187. 2 indexed citations

12.

Kachmar, Ayman, et al.. (2017). Weyl formulae for the Robin Laplacian in the semiclassical limit. 8(2). 39–57. 8 indexed citations

13.

Kachmar, Ayman, et al.. (2016). The distribution of 3D superconductivity near the second critical field. Nonlinearity. 29(9). 2856–2887. 1 indexed citations

14.

Fournais, Søren & Ayman Kachmar. (2010). Nucleation of bulk superconductivity close to critical magnetic field. Advances in Mathematics. 226(2). 1213–1258. 13 indexed citations

15.

Fournais, Søren & Ayman Kachmar. (2009). On the transition to the normal phase for superconductors surrounded by normal conductors. Journal of Differential Equations. 247(6). 1637–1672. 1 indexed citations

16.

Kachmar, Ayman. (2008). Magnetic Ginzburg–Landau functional with discontinuous constraint. Comptes Rendus Mathématique. 346(5-6). 297–300. 1 indexed citations

17.

Kachmar, Ayman. (2007). On the stability of normal states for a generalized Ginzburg–Landau model. Asymptotic Analysis. 55(3-4). 145–201.

18.

Kachmar, Ayman. (2007). On the perfect superconducting solution for a generalized Ginzburg–Landau equation. Asymptotic Analysis. 54(3-4). 125–164. 6 indexed citations

19.

Kachmar, Ayman. (2006). On the ground state energy for a magnetic Schrödinger operator and the effect of the DeGennes boundary condition. Journal of Mathematical Physics. 47(7). 15 indexed citations

20.

Kachmar, Ayman. (2006). On the ground state energy for a magnetic Schrödinger operator and the effect of the de Gennes boundary condition. Comptes Rendus Mathématique. 342(9). 701–706. 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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