Franck Merle

1.4k total citations
17 papers, 907 citations indexed

About

Franck Merle is a scholar working on Mathematical Physics, Control and Systems Engineering and Applied Mathematics. According to data from OpenAlex, Franck Merle has authored 17 papers receiving a total of 907 indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Mathematical Physics, 9 papers in Control and Systems Engineering and 9 papers in Applied Mathematics. Recurrent topics in Franck Merle's work include Advanced Mathematical Physics Problems (10 papers), Stability and Controllability of Differential Equations (9 papers) and Advanced Mathematical Modeling in Engineering (6 papers). Franck Merle is often cited by papers focused on Advanced Mathematical Physics Problems (10 papers), Stability and Controllability of Differential Equations (9 papers) and Advanced Mathematical Modeling in Engineering (6 papers). Franck Merle collaborates with scholars based in France, Burundi and Netherlands. Franck Merle's co-authors include Hatem Zaag, Luis Vega, Yvan Martel, L. A. Peletier, Thomas Duyckaerts, Clotilde Fermanian Kammerer and Stathis Filippas and has published in prestigious journals such as Communications in Mathematical Physics, Archive for Rational Mechanics and Analysis and Journal of Differential Equations.

In The Last Decade

Franck Merle

17 papers receiving 801 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Franck Merle France	16	770	418	385	225	145	17	907
Masahito Ohta Japan	18	734 1.0×	249 0.6×	482 1.3×	235 1.0×	63 0.4×	53	828
Thomas Duyckaerts France	16	1.0k 1.4×	288 0.7×	490 1.3×	499 2.2×	286 2.0×	44	1.2k
Hartmut Pecher Germany	15	618 0.8×	359 0.9×	222 0.6×	283 1.3×	64 0.4×	39	669
Piero DʼAncona Italy	17	964 1.3×	834 2.0×	129 0.3×	435 1.9×	336 2.3×	70	1.3k
Nicola Visciglia Italy	18	723 0.9×	378 0.9×	274 0.7×	137 0.6×	76 0.5×	58	775
Nakao Hayashi Japan	15	624 0.8×	209 0.5×	299 0.8×	252 1.1×	39 0.3×	71	647
Hichem Hajaiej United States	13	458 0.6×	387 0.9×	122 0.3×	108 0.5×	147 1.0×	80	619
Scipio Cuccagna Italy	17	817 1.1×	146 0.3×	576 1.5×	122 0.5×	42 0.3×	58	904
Enrico Serra Italy	18	345 0.4×	423 1.0×	131 0.3×	79 0.4×	317 2.2×	29	686
Fabrice Planchon France	22	1.2k 1.5×	933 2.2×	179 0.5×	451 2.0×	69 0.5×	50	1.3k

Countries citing papers authored by Franck Merle

Since Specialization

Citations

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

Fields of papers citing papers by Franck Merle

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Franck Merle

This figure shows the co-authorship network connecting the top 25 collaborators of Franck Merle. A scholar is included among the top collaborators of Franck Merle 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 Franck Merle. Franck Merle is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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17 of 17 papers shown

Duyckaerts, Thomas & Franck Merle. (2008). Dynamics of Threshold Solutions for Energy-Critical Wave Equation. HighWire Press Open Archive. 62 indexed citations

Merle, Franck & Hatem Zaag. (2003). Determination of the blow-up rate for the semilinear wave equation. American Journal of Mathematics. 125(5). 1147–1164. 54 indexed citations

Martel, Yvan & Franck Merle. (2001). Instability of solitons for the critical generalized Korteweg—de Vries equation. Geometric and Functional Analysis. 11(1). 74–123. 99 indexed citations

Kammerer, Clotilde Fermanian, Franck Merle, & Hatem Zaag. (2000). Stability of the blow-up profile of non-linear heat equations from the dynamical system point of view. Mathematische Annalen. 317(2). 347–387. 50 indexed citations

Merle, Franck & Luis Vega. (1998). . International Mathematics Research Notices. 1998(8). 399–399. 114 indexed citations

Merle, Franck & Hatem Zaag. (1998). Refined Uniform Estimates at Blow-Up and Applications for Nonlinear Heat Equations. Geometric and Functional Analysis. 8(6). 1043–1085. 42 indexed citations

Merle, Franck. (1996). Nonexistence of minimal blow-up solutions of equations $iu_t = - \Delta u-k(x)|u|^{4/N} u$ in $\mathbb {R}^N$. French digital mathematics library (Numdam). 64(1). 33–85. 35 indexed citations

Filippas, Stathis & Franck Merle. (1995). Modulation Theory for the Blowup of Vector-Valued Nonlinear Heat Equations. Journal of Differential Equations. 116(1). 119–148. 18 indexed citations

Merle, Franck, et al.. (1994). Existence of self-similar blow-up solutions for Zakhrov equation in dimension two. Part I. Communications in Mathematical Physics. 160(1). 173–215. 52 indexed citations

10.

Merle, Franck, et al.. (1994). Concentration properties of blow-up solutions and instability results for Zakharov equation in dimension two. Part II. Communications in Mathematical Physics. 160(2). 349–389. 39 indexed citations

11.

Merle, Franck. (1993). Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power. Duke Mathematical Journal. 69(2). 151 indexed citations

12.

Merle, Franck & L. A. Peletier. (1992). Asymptotic behaviour of positive solutions of elliptic equations with critical and supercritical growth. II. The nonradial case. Journal of Functional Analysis. 105(1). 1–41. 16 indexed citations

13.

Merle, Franck. (1992). Limit behavior of saturated approximations of nonlinear Schrödinger equation. Communications in Mathematical Physics. 149(2). 377–414. 10 indexed citations

14.

Merle, Franck & L. A. Peletier. (1991). Positive solutions of elliptic equations involving supercritical growth. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 118(1-2). 49–62. 50 indexed citations

15.

Merle, Franck & L. A. Peletier. (1990). Asymptotic behaviour of positive solutions of elliptic equations with critical and supercritical growth I. The radial case. Archive for Rational Mechanics and Analysis. 112(1). 1–19. 21 indexed citations

16.

Merle, Franck. (1989). Limit of the solution of a nonlinear Schrödinger equation at blow-up time. Journal of Functional Analysis. 84(1). 201–214. 23 indexed citations

17.

Merle, Franck. (1988). Existence of stationary states for nonlinear Dirac equations. Journal of Differential Equations. 74(1). 50–68. 71 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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