Michael L. Frankel

1.1k total citations
45 papers, 824 citations indexed

About

Michael L. Frankel is a scholar working on Computational Mechanics, Computer Networks and Communications and Control and Systems Engineering. According to data from OpenAlex, Michael L. Frankel has authored 45 papers receiving a total of 824 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Computational Mechanics, 16 papers in Computer Networks and Communications and 9 papers in Control and Systems Engineering. Recurrent topics in Michael L. Frankel's work include Combustion and flame dynamics (19 papers), Nonlinear Dynamics and Pattern Formation (16 papers) and Stability and Controllability of Differential Equations (9 papers). Michael L. Frankel is often cited by papers focused on Combustion and flame dynamics (19 papers), Nonlinear Dynamics and Pattern Formation (16 papers) and Stability and Controllability of Differential Equations (9 papers). Michael L. Frankel collaborates with scholars based in United States, Israel and France. Michael L. Frankel's co-authors include G. Sivashinsky, Victor Roytburd, Irina Brailovsky, Gregory Sivashinsky, A.J. Babchin, Josephus Hulshof, Peter V. Gordon, Ilya Timofeyev, Sanford G. Meek and Erik D. Engeberg and has published in prestigious journals such as SHILAP Revista de lepidopterología, Physics Letters A and Physica D Nonlinear Phenomena.

In The Last Decade

Michael L. Frankel

44 papers receiving 751 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Michael L. Frankel United States 14 581 264 261 148 132 45 824
Gregory Sivashinsky Israel 20 740 1.3× 432 1.6× 245 0.9× 139 0.9× 291 2.2× 68 1.1k
Vladimir Gol’dshtein Israel 20 412 0.7× 192 0.7× 208 0.8× 41 0.3× 74 0.6× 103 1.1k
Bruno Denet France 16 666 1.1× 284 1.1× 291 1.1× 66 0.4× 184 1.4× 63 805
Francesco Creta Italy 24 1.5k 2.6× 466 1.8× 1.1k 4.2× 56 0.4× 358 2.7× 75 1.7k
Torger J. Anderson United States 15 592 1.0× 256 1.0× 233 0.9× 16 0.1× 58 0.4× 38 740
William B. Bush United States 16 677 1.2× 329 1.2× 162 0.6× 26 0.2× 80 0.6× 55 932
Victor Roytburd United States 10 302 0.5× 224 0.8× 9 0.0× 81 0.5× 52 0.4× 31 515
Shingo Matsuyama Japan 13 283 0.5× 180 0.7× 77 0.3× 32 0.2× 20 0.2× 55 447
П. А. Крутицкий Russia 15 559 1.0× 52 0.2× 275 1.1× 5 0.0× 30 0.2× 148 1.2k
J. D. Rodríguez Spain 13 147 0.3× 128 0.5× 70 0.3× 115 0.8× 4 0.0× 34 569

Countries citing papers authored by Michael L. Frankel

Since Specialization
Citations

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

Fields of papers citing papers by Michael L. Frankel

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael L. Frankel. 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 Michael L. Frankel. The network helps show where Michael L. Frankel may publish in the future.

Co-authorship network of co-authors of Michael L. Frankel

This figure shows the co-authorship network connecting the top 25 collaborators of Michael L. Frankel. A scholar is included among the top collaborators of Michael L. Frankel 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 Michael L. Frankel. Michael L. Frankel 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.
Brailovsky, Irina, A.J. Babchin, Michael L. Frankel, & Gregory Sivashinsky. (2007). A reduced model for fingering instability in miscible displacement. Physics Letters A. 369(3). 212–217. 4 indexed citations
2.
Frankel, Michael L., et al.. (2005). Weakly nonlinear asymptotics of the κ-θ model of cellular flames: the Q-S equation. Digital Academic REpository of VU University Amsterdam (Vrije Universiteit Amsterdam). 8 indexed citations
3.
Frankel, Michael L. & Victor Roytburd. (2005). Dynamical structure of one-phase model of solid combustion. 2005. 287. 1 indexed citations
4.
Frankel, Michael L. & Victor Roytburd. (2003). Finite Dimensional Attractor for a One-Phase Stefan Problem with Kinetics. Journal of Dynamics and Differential Equations. 15(1). 87–106. 1 indexed citations
5.
Frankel, Michael L. & Victor Roytburd. (2002). Finite-dimensional attractors for a free boundary problem with a kinetic condition. Applied Mathematics Letters. 15(1). 83–87. 1 indexed citations
6.
Frankel, Michael L., et al.. (2000). Thermo-kinetically controlled pattern selection. Interfaces and Free Boundaries Mathematical Analysis Computation and Applications. 2(3). 313–330. 8 indexed citations
7.
Brailovsky, Irina, Michael L. Frankel, & G. Sivashinsky. (2000). Galloping and spinning modes of subsonic detonation. Combustion Theory and Modelling. 4(1). 47–60. 19 indexed citations
8.
Frankel, Michael L. & Gregory Sivashinsky. (1995). Fingering instability in nonadiabatic low-Lewis-number flames. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 52(6). 6154–6158. 13 indexed citations
9.
Frankel, Michael L., Victor Roytburd, & G. Sivashinsky. (1994). A Sequence of Period Doublings and Chaotic Pulsations in a Free Boundary Problem Modeling Thermal Instabilities. SIAM Journal on Applied Mathematics. 54(4). 1101–1112. 26 indexed citations
10.
Frankel, Michael L. & Victor Roytburd. (1994). DYNAMICAL PORTRAIT OF A MODEL OF THERMAL INSTABILITY: CASCADES, CHAOS, REVERSED CASCADES AND INFINITE PERIOD BIFURCATIONS. International Journal of Bifurcation and Chaos. 4(3). 579–593. 11 indexed citations
11.
Frankel, Michael L. & Victor Roytburd. (1994). A Free Boundary Problem Modeling Thermal Instabilities: Well-Posedness. SIAM Journal on Mathematical Analysis. 25(5). 1357–1374. 9 indexed citations
12.
Sivashinsky, G., et al.. (1994). On self-acceleration of outward propagating wrinkled flames. Physica D Nonlinear Phenomena. 72(1-2). 110–118. 100 indexed citations
13.
Frankel, Michael L.. (1991). Qualitative Approximation of Oscillatory Flames in Premixed Gas Combustion by a Local Equation of Front Dynamics. SIAM Journal on Applied Mathematics. 51(3). 673–683. 1 indexed citations
14.
Frankel, Michael L.. (1990). An equation of surface dynamics modeling flame fronts as density discontinuities in potential flows. Physics of Fluids A Fluid Dynamics. 2(10). 1879–1883. 63 indexed citations
15.
Frankel, Michael L.. (1989). On a free boundary problem associated with combustion and solidification. ESAIM Mathematical Modelling and Numerical Analysis. 23(2). 283–291. 5 indexed citations
16.
Flaherty, Joseph E., Michael L. Frankel, Victor Roytburd, & G. Sivashinsky. (1985). Numerical Study of Quenching of Inward Propagating Spherical Flames. Combustion Science and Technology. 43(5-6). 245–257. 3 indexed citations
17.
Frankel, Michael L. & G. Sivashinsky. (1984). On Quenching of Curved Flames. Combustion Science and Technology. 40(5-6). 257–268. 50 indexed citations
18.
Frankel, Michael L. & G. Sivashinsky. (1983). On Effects Due To Thermal Expansion and Lewis Number in Spherical Flame Propagation. Combustion Science and Technology. 31(3-4). 131–138. 158 indexed citations
19.
Frankel, Michael L. & G. Sivashinsky. (1982). The Effect of Viscosity on Hydrodynamic Stability of a Plane Flame Front. Combustion Science and Technology. 29(3-6). 207–224. 107 indexed citations
20.
Aigner, Dennis J., et al.. (1970). On the Log-Quadratic Law of Production. Southern Economic Journal. 37(1). 32–32. 5 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 Gregory Sivashinsky Breakdown of academic impact, for papers by Vladimir Gol’dshtein Breakdown of academic impact, for papers by Bruno Denet Breakdown of academic impact, for papers by Francesco Creta Breakdown of academic impact, for papers by Torger J. Anderson Breakdown of academic impact, for papers by William B. Bush Breakdown of academic impact, for papers by Victor Roytburd Breakdown of academic impact, for papers by Shingo Matsuyama Breakdown of academic impact, for papers by П. А. Крутицкий Breakdown of academic impact, for papers by J. D. Rodríguez
Rankless by CCL
2026