Hammadi Abidi

1.4k total citations
27 papers, 901 citations indexed

About

Hammadi Abidi is a scholar working on Applied Mathematics, Mathematical Physics and Computational Mechanics. According to data from OpenAlex, Hammadi Abidi has authored 27 papers receiving a total of 901 indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Applied Mathematics, 22 papers in Mathematical Physics and 15 papers in Computational Mechanics. Recurrent topics in Hammadi Abidi's work include Navier-Stokes equation solutions (27 papers), Advanced Mathematical Physics Problems (22 papers) and Computational Fluid Dynamics and Aerodynamics (11 papers). Hammadi Abidi is often cited by papers focused on Navier-Stokes equation solutions (27 papers), Advanced Mathematical Physics Problems (22 papers) and Computational Fluid Dynamics and Aerodynamics (11 papers). Hammadi Abidi collaborates with scholars based in China, Tunisia and France. Hammadi Abidi's co-authors include Taoufik Hmidi, Marius Paicu, Ping Zhang, Guilong Gui, Ping Zhang, Ping Zhang, Sahbi Keraani, Raphaël Danchin, Ping Zhang and Ping Zhang and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Archive for Rational Mechanics and Analysis and Journal of Differential Equations.

In The Last Decade

Hammadi Abidi

25 papers receiving 853 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Hammadi Abidi China 16 891 786 420 253 41 27 901
Yongzhong Sun China 13 500 0.6× 375 0.5× 269 0.6× 101 0.4× 38 0.9× 29 532
Zhuan Ye China 13 499 0.6× 445 0.6× 130 0.3× 283 1.1× 29 0.7× 76 542
Mari Okada Japan 9 498 0.6× 359 0.5× 259 0.6× 92 0.4× 36 0.9× 12 520
Zhouping Xin Hong Kong 9 541 0.6× 317 0.4× 315 0.8× 32 0.1× 39 1.0× 9 558
Bum Ja Jin South Korea 11 478 0.5× 276 0.4× 221 0.5× 191 0.8× 104 2.5× 46 514
Baoquan Yuan China 14 763 0.9× 660 0.8× 218 0.5× 296 1.2× 49 1.2× 63 811
Zhuan Ye China 10 314 0.4× 272 0.3× 98 0.2× 138 0.5× 20 0.5× 19 319
Tomas Schonbek United States 11 395 0.4× 327 0.4× 90 0.2× 121 0.5× 44 1.1× 28 444
Guochun Wu China 11 368 0.4× 229 0.3× 221 0.5× 120 0.5× 10 0.2× 46 385

Countries citing papers authored by Hammadi Abidi

Since Specialization
Citations

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

Fields of papers citing papers by Hammadi Abidi

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Hammadi Abidi

This figure shows the co-authorship network connecting the top 25 collaborators of Hammadi Abidi. A scholar is included among the top collaborators of Hammadi Abidi 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 Hammadi Abidi. Hammadi Abidi 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.
Abidi, Hammadi, Guilong Gui, & Ping Zhang. (2025). Global refined Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes equations with large density. Communications in Partial Differential Equations. 50(6). 841–873. 1 indexed citations
2.
Abidi, Hammadi, et al.. (2024). Low regularity global well-posedness of axisymmetric MHD equations with vertical dissipation and magnetic diffusion. Journal of Differential Equations. 409. 635–663.
3.
Abidi, Hammadi, Guilong Gui, & Ping Zhang. (2024). On the global existence and uniqueness of solution to 2-D inhomogeneous incompressible Navier-Stokes equations in critical spaces. Journal of Differential Equations. 406. 126–173. 2 indexed citations
4.
Abidi, Hammadi & Guilong Gui. (2021). Global Well-Posedness for the 2-D Inhomogeneous Incompressible Navier-Stokes System with Large Initial Data in Critical Spaces. Archive for Rational Mechanics and Analysis. 242(3). 1533–1570. 12 indexed citations
5.
Abidi, Hammadi & Ping Zhang. (2019). On the Global Well-Posedness of 3-D Boussinesq System with Variable Viscosity. Chinese Annals of Mathematics Series B. 40(5). 643–688. 4 indexed citations
6.
Abidi, Hammadi & Guilong Gui. (2019). Inviscid limit for axisymmetric Navier–Stokes–Boussinesq system. Communications in Mathematical Sciences. 17(6). 1625–1652. 2 indexed citations
7.
Abidi, Hammadi & Ping Zhang. (2016). On the global well-posedness of 2-D Boussinesq system with variable viscosity. Advances in Mathematics. 305. 1202–1249. 15 indexed citations
8.
Abidi, Hammadi & Ping Zhang. (2015). On the global well-posedness of 2-D inhomogeneous incompressible Navier–Stokes system with variable viscous coefficient. Journal of Differential Equations. 259(8). 3755–3802. 18 indexed citations
9.
Abidi, Hammadi & Ping Zhang. (2015). Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity. Science China Mathematics. 58(6). 1129–1150. 20 indexed citations
10.
Abidi, Hammadi, Guilong Gui, & Ping Zhang. (2012). Well-posedness of 3-D inhomogeneous Navier–Stokes equations with highly oscillatory initial velocity field. Journal de Mathématiques Pures et Appliquées. 100(2). 166–203. 41 indexed citations
11.
Abidi, Hammadi, Guilong Gui, & Ping Zhang. (2011). On the Wellposedness of Three-Dimensional Inhomogeneous Navier–Stokes Equations in the Critical Spaces. Archive for Rational Mechanics and Analysis. 204(1). 189–230. 83 indexed citations
12.
Abidi, Hammadi, Taoufik Hmidi, & Sahbi Keraani. (2010). On the global existence for the axisymmetric Euler equations. Journées Équations aux dérivées partielles. 1–17.
13.
Abidi, Hammadi, Guilong Gui, & Ping Zhang. (2010). On the decay and stability of global solutions to the 3‐D inhomogeneous Navier‐Stokes equations. Communications on Pure and Applied Mathematics. 64(6). 832–881. 63 indexed citations
14.
Abidi, Hammadi. (2008). Sur l'unicité pour le système de Boussinesq avec diffusion non linéaire. Journal de Mathématiques Pures et Appliquées. 91(1). 80–99. 8 indexed citations
15.
Abidi, Hammadi & Marius Paicu. (2008). Global existence for the magnetohydrodynamic system in critical spaces. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 138(3). 447–476. 88 indexed citations
16.
Abidi, Hammadi & Taoufik Hmidi. (2007). Résultats d’existence dans des espaces critiques pour le système de la MHD inhomogène. Annales mathématiques Blaise Pascal. 14(1). 103–148. 30 indexed citations
17.
Abidi, Hammadi & Marius Paicu. (2007). Existence globale pour un fluide inhomogène. Annales de l’institut Fourier. 57(3). 883–917. 78 indexed citations
18.
Abidi, Hammadi & Taoufik Hmidi. (2006). On the global well-posedness for Boussinesq system. Journal of Differential Equations. 233(1). 199–220. 129 indexed citations
19.
Abidi, Hammadi. (2006). Existence et unicité pour un fluide inhomogène. Comptes Rendus Mathématique. 342(11). 831–836. 2 indexed citations
20.
Abidi, Hammadi & Raphaël Danchin. (2004). Optimal bounds for the inviscid limit of Navier–Stokes equations. Asymptotic Analysis. 38(1). 35–46. 23 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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