Michel Pierre

5.0k total citations · 1 hit paper
71 papers, 3.2k citations indexed

About

Michel Pierre is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Control and Systems Engineering. According to data from OpenAlex, Michel Pierre has authored 71 papers receiving a total of 3.2k indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Applied Mathematics, 34 papers in Computational Theory and Mathematics and 21 papers in Control and Systems Engineering. Recurrent topics in Michel Pierre's work include Advanced Mathematical Modeling in Engineering (31 papers), Nonlinear Partial Differential Equations (25 papers) and Stability and Controllability of Differential Equations (21 papers). Michel Pierre is often cited by papers focused on Advanced Mathematical Modeling in Engineering (31 papers), Nonlinear Partial Differential Equations (25 papers) and Stability and Controllability of Differential Equations (21 papers). Michel Pierre collaborates with scholars based in France, United States and Japan. Michel Pierre's co-authors include Antoine Henrot, Pierre Baras, Philippe Benilán, Lucio Boccardo, Thierry Gallouët, Juan Luís Vázquez, Miguel A. Herrero, Michael G. Crandall, Didier Schmitt and Robert H. Martin and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, SIAM Review and Transactions of the American Mathematical Society.

In The Last Decade

Michel Pierre

66 papers receiving 2.8k citations

Hit Papers

An $L^1$ -theory of existence and uniqueness of solutions... 1995 2026 2005 2015 1995 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. An $L^1$ -theory of existence and uniqueness of solutions of nonlinear elliptic equations
    1995 601 citations Philippe Benilán, Lucio Boccardo et al. OpenGrey (Institut de l'Information Scientifique et Technique) profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Michel Pierre France 28 1.9k 1.9k 1.1k 583 386 71 3.2k
Michel Chipot Switzerland 30 2.2k 1.2× 2.3k 1.2× 917 0.8× 669 1.1× 376 1.0× 161 3.4k
A. C. Lazer United States 35 2.9k 1.5× 1.8k 1.0× 805 0.7× 638 1.1× 179 0.5× 92 4.2k
Julio D. Rossi Spain 32 2.9k 1.6× 2.3k 1.3× 1.2k 1.1× 653 1.1× 337 0.9× 219 3.9k
José M. Mazón Spain 22 1.3k 0.7× 1.1k 0.6× 658 0.6× 260 0.4× 235 0.6× 96 2.2k
Alain Haraux France 26 1.2k 0.7× 1.7k 0.9× 1.4k 1.3× 1.9k 3.2× 169 0.4× 112 3.0k
Klaus Deimling Germany 13 3.8k 2.0× 1.9k 1.0× 770 0.7× 1.3k 2.3× 229 0.6× 39 5.7k
Zhenhai Liu China 35 2.0k 1.0× 2.4k 1.3× 391 0.4× 914 1.6× 95 0.2× 263 4.3k
Klaus Schmitt United States 29 2.1k 1.1× 1.4k 0.7× 679 0.6× 265 0.5× 72 0.2× 121 2.9k
Diego Pallara Italy 15 1.8k 1.0× 1.5k 0.8× 1.2k 1.1× 308 0.5× 538 1.4× 66 3.4k
Mariano Giaquinta Italy 35 3.7k 2.0× 3.0k 1.6× 1.5k 1.4× 306 0.5× 390 1.0× 92 5.0k

Countries citing papers authored by Michel Pierre

Since Specialization
Citations

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

Fields of papers citing papers by Michel Pierre

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Michel Pierre

This figure shows the co-authorship network connecting the top 25 collaborators of Michel Pierre. A scholar is included among the top collaborators of Michel Pierre 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 Michel Pierre. Michel Pierre 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.
Pierre, Michel, et al.. (2018). ASYMPTOTIC BEHAVIOR IN CHEMICAL REACTION-DIFFUSION SYSTEMS WITH BOUNDARY EQUILIBRIA. Journal of Applied Analysis & Computation. 8(3). 836–858. 3 indexed citations
2.
Pierre, Michel, et al.. (2017). Asymptotic behavior of solutions to chemical reaction–diffusion systems. Journal of Mathematical Analysis and Applications. 450(1). 152–168. 11 indexed citations
3.
Philippis, Guido De, et al.. (2016). Regularity of Minimizers of Shape Optimization Problems involving\n Perimeter. arXiv (Cornell University). 7 indexed citations
4.
Pierre, Michel, et al.. (2016). Estimates of first and second order shape derivatives in nonsmooth multidimensional domains and applications. Journal of Functional Analysis. 270(7). 2616–2652. 8 indexed citations
5.
Pierre, Michel & Julien Vovelle. (2012). A Kinetic Approach in Nonlinear Parabolic Problems with $L^1$-Data. Zeitschrift für Analysis und ihre Anwendungen. 31(3). 307–334.
6.
Pierre, Michel, et al.. (2012). Regularity and Singularities of Optimal Convex Shapes in the Plane. Archive for Rational Mechanics and Analysis. 205(1). 311–343. 13 indexed citations
7.
Lepoutre, Thomas, et al.. (2012). Global Well-Posedness of a Conservative Relaxed Cross Diffusion System. SIAM Journal on Mathematical Analysis. 44(3). 1674–1693. 14 indexed citations
8.
Fragalà, Ilaria, Filippo Gazzola, & Michel Pierre. (2010). On an isoperimetric inequality for capacity conjectured by Pólya and Szegö. Journal of Differential Equations. 250(3). 1500–1520. 10 indexed citations
9.
Bothe, Dieter & Michel Pierre. (2010). Quasi-steady-state approximation for a reaction–diffusion system with fast intermediate. Journal of Mathematical Analysis and Applications. 368(1). 120–132. 27 indexed citations
10.
Desvillettes, Laurent, Klemens Fellner, Michel Pierre, & Julien Vovelle. (2007). Global Existence for Quadratic Systems of Reaction-Diffusion. Advanced Nonlinear Studies. 7(3). 491–511. 52 indexed citations
11.
Henrot, Antoine & Michel Pierre. (2005). Variation et optimisation de formes : une analyse géométrique. Springer eBooks. 137 indexed citations
12.
Pierre, Michel, et al.. (2000). Strong decay for one-dimensional wave equations with nonmonotone boundary damping. Control and Cybernetics. 29(2). 473–484. 1 indexed citations
13.
Pierre, Michel. (2000). Bagnards : la terre de la grande punition, Cayenne, 1852-1953. Autrement eBooks. 3 indexed citations
14.
Pierre, Michel, et al.. (2000). Global Existence for Coupled Reaction–Diffusion Systems. Journal of Mathematical Analysis and Applications. 250(1). 1–12. 12 indexed citations
15.
Benilán, Philippe, et al.. (1995). An $L^1$ -theory of existence and uniqueness of solutions of nonlinear elliptic equations. OpenGrey (Institut de l'Information Scientifique et Technique). 22(2). 241–273. 601 indexed citations breakdown →
16.
Adams, David R. & Michel Pierre. (1991). Capacitary strong type estimates in semilinear problems. Annales de l’institut Fourier. 41(1). 117–135. 28 indexed citations
17.
Conrad, Françis & Michel Pierre. (1990). Stabilization of Euler-Bernoulli beam by nonlinear boundary feedback. OpenGrey (Institut de l'Information Scientifique et Technique). 25. 10 indexed citations
18.
Baras, Pierre & Michel Pierre. (1985). Critère d’existence de solutions positives pour des équations semi-linéaires non monotones. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 2(3). 185–212. 113 indexed citations
19.
Herrero, Miguel A. & Michel Pierre. (1985). The Cauchy problem for 𝑢_{𝑡}=Δ𝑢^{𝑚} when 0<𝑚<1. Transactions of the American Mathematical Society. 291(1). 145–158. 103 indexed citations
20.
Crandall, Michael G. & Michel Pierre. (1982). Regularizing effects for ut + Aϑ(u) = 0 in L1. Journal of Functional Analysis. 45(2). 194–212. 53 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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