Antoine Mellet

2.2k total citations
54 papers, 1.2k citations indexed

About

Antoine Mellet is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Antoine Mellet has authored 54 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Applied Mathematics, 27 papers in Computational Theory and Mathematics and 18 papers in Mathematical Physics. Recurrent topics in Antoine Mellet's work include Advanced Mathematical Modeling in Engineering (27 papers), Nonlinear Partial Differential Equations (13 papers) and Gas Dynamics and Kinetic Theory (13 papers). Antoine Mellet is often cited by papers focused on Advanced Mathematical Modeling in Engineering (27 papers), Nonlinear Partial Differential Equations (13 papers) and Gas Dynamics and Kinetic Theory (13 papers). Antoine Mellet collaborates with scholars based in United States, France and Canada. Antoine Mellet's co-authors include Alexis Vasseur, Konstantina Trivisa, Luis Caffarelli, Trygve K. Karper, Stéphane Mischler, Clément Mouhot, Jean‐Michel Roquejoffre, Matías G. Delgadino, José A. Carrillo and Yannick Sire and has published in prestigious journals such as Communications in Mathematical Physics, Communications on Pure and Applied Mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Antoine Mellet

50 papers receiving 1.1k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Antoine Mellet United States 17 871 488 442 255 182 54 1.2k
Chi-Kun Lin Taiwan 13 548 0.6× 296 0.6× 470 1.1× 119 0.5× 127 0.7× 31 991
Pierangelo Marcati Italy 22 1.3k 1.4× 593 1.2× 973 2.2× 164 0.6× 96 0.5× 76 1.6k
Roberta Dal Passo Italy 16 434 0.5× 474 1.0× 207 0.5× 443 1.7× 101 0.6× 32 1.1k
Régis Monneau France 21 842 1.0× 141 0.3× 287 0.6× 671 2.6× 144 0.8× 107 1.4k
Francisco Guillén‐González Spain 19 331 0.4× 586 1.2× 162 0.4× 346 1.4× 150 0.8× 91 1.2k
Y. S. Choi United States 20 453 0.5× 119 0.2× 166 0.4× 365 1.4× 233 1.3× 57 1.1k
Feimin Huang China 31 2.2k 2.5× 1.3k 2.8× 1.3k 3.0× 151 0.6× 93 0.5× 101 2.4k
Róbert Kersner Hungary 16 560 0.6× 88 0.2× 309 0.7× 392 1.5× 177 1.0× 47 987
Andreas Unterreiter Germany 13 498 0.6× 223 0.5× 206 0.5× 224 0.9× 177 1.0× 32 881
Konstantina Trivisa United States 15 503 0.6× 268 0.5× 273 0.6× 65 0.3× 90 0.5× 39 770

Countries citing papers authored by Antoine Mellet

Since Specialization
Citations

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

Fields of papers citing papers by Antoine Mellet

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Antoine Mellet

This figure shows the co-authorship network connecting the top 25 collaborators of Antoine Mellet. A scholar is included among the top collaborators of Antoine Mellet 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 Antoine Mellet. Antoine Mellet 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.
Mellet, Antoine. (2024). Hele-Shaw flow as a singular limit of a Keller-Segel system with nonlinear diffusion. Calculus of Variations and Partial Differential Equations. 63(8).
2.
Mellet, Antoine, et al.. (2023). Density-constrained Chemotaxis and Hele-Shaw flow. Transactions of the American Mathematical Society. 2 indexed citations
3.
Mellet, Antoine & Yijing Wu. (2023). \(\Gamma\) -Convergence of Some Nonlocal Perimeters in Bounded Domains with General Boundary Conditions. SIAM Journal on Mathematical Analysis. 55(4). 3226–3261. 2 indexed citations
4.
Mellet, Antoine, et al.. (2023). A density-constrained model for chemotaxis. Nonlinearity. 36(2). 1082–1119. 3 indexed citations
5.
Mellet, Antoine, et al.. (2022). Fractional diffusion limit of a kinetic equation with diffusive boundary conditions in a bounded interval. Asymptotic Analysis. 130(3-4). 367–386. 2 indexed citations
6.
Mellet, Antoine, et al.. (2021). Self polarization and traveling wave in a model for cell crawling migration. Discrete and Continuous Dynamical Systems. 42(5). 2381–2381. 1 indexed citations
7.
Delgadino, Matías G. & Antoine Mellet. (2020). On the relationship between the thin film equation and Tanner's law. Oxford University Research Archive (ORA) (University of Oxford). 5 indexed citations
8.
Mellet, Antoine. (2015). Anomalous diffusion phenomena: A kinetic approach. French digital mathematics library (Numdam). 1–16. 2 indexed citations
9.
Caffarelli, Luis, Antoine Mellet, & Yannick Sire. (2012). Traveling waves for a boundary reaction–diffusion equation. Advances in Mathematics. 230(2). 433–457. 11 indexed citations
10.
Mellet, Antoine, et al.. (2012). Anomalous transport of particles in plasma physics. Applied Mathematics Letters. 25(12). 2344–2348. 22 indexed citations
11.
Mellet, Antoine & James Nolen. (2012). Capillary drops on a rough surface. Interfaces and Free Boundaries Mathematical Analysis Computation and Applications. 14(2). 167–184. 3 indexed citations
12.
Abdallah, Naoufel Ben, et al.. (2011). Fractional diffusion limit for collisional kinetic equations: A Hilbert expansion approach. Kinetic and Related Models. 4(4). 873–900. 20 indexed citations
13.
Mellet, Antoine & Alexis Vasseur. (2009). Lp estimates for quantities advected by a compressible flow. Journal of Mathematical Analysis and Applications. 355(2). 548–563. 4 indexed citations
14.
Caffarelli, Luis & Antoine Mellet. (2008). Random homogenization of fractional obstacle problems. Networks and Heterogeneous Media. 3(3). 523–554. 16 indexed citations
15.
Mellet, Antoine & Alexis Vasseur. (2007). Homogenization of a nonlinear transport equation. Asymptotic Analysis. 51(2). 157–166. 1 indexed citations
16.
Mellet, Antoine & Alexis Vasseur. (2007). On the Barotropic Compressible Navier–Stokes Equations. Communications in Partial Differential Equations. 32(3). 431–452. 166 indexed citations
17.
Mellet, Antoine & S. Mischler. (2004). Uniqueness and semigroup for the Vlasov equation with elastic-diffusive reflexion boundary conditions. Applied Mathematics Letters. 17(7). 827–832. 4 indexed citations
18.
Mellet, Antoine. (2003). Macroscopic model for coupled surface and volume collisions in semiconductor superlattices. Asymptotic Analysis. 33(3-4). 337–361.
19.
Mellet, Antoine & Benoı̂t Perthame. (2002). L1 contraction property for a Boltzmann equation with Pauli statistics. Comptes Rendus Mathématique. 335(4). 337–340. 3 indexed citations
20.
Goudon, Thierry & Antoine Mellet. (2001). Diffusion approximation in heterogeneous media. Asymptotic Analysis. 28(3-4). 331–358. 12 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Chi-Kun Lin Breakdown of academic impact, for papers by Pierangelo Marcati Breakdown of academic impact, for papers by Roberta Dal Passo Breakdown of academic impact, for papers by Régis Monneau Breakdown of academic impact, for papers by Francisco Guillén‐González Breakdown of academic impact, for papers by Y. S. Choi Breakdown of academic impact, for papers by Feimin Huang Breakdown of academic impact, for papers by Róbert Kersner Breakdown of academic impact, for papers by Andreas Unterreiter Breakdown of academic impact, for papers by Konstantina Trivisa
Rankless by CCL
2026