Frank Merle
Frank Merle publishes mostly in Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics, on topics such as Advanced Mathematical Physics Problems, Nonlinear Waves and Solitons and Stability and Controllability of Differential Equations.
- World rank
- #34,086 of 7,710,434 ranked researchers
- Rank in France
- #4,362 of 324,115
- Works
- 179
- Citations
- 9.7k
- Citations per work
- 54.4
What does Frank Merle research?
Frank Merle's work is mostly in Mathematics (54%), Physics and Astronomy (24%), Engineering (12%).
Their six largest subfields, inside their fields and domains; the grey slice is everything else they publish. The interactive view splits every one of their works down to single topics.
The fields and subfields, with their numbers
- Physical Sciences16692.5%
- Mathematics9754.2%
- Physics and Astronomy4324.1%
- Engineering2111.6%
- Computer Science52.6%
- Everything else137.5%
- 1Mathematical Physics37% of their works
- 2Statistical and Nonlinear Physics24% of their works
- 3Applied Mathematics14% of their works
- 4Control and Systems Engineering12% of their works
- 5Numerical Analysis3% of their works
- 6Computational Theory and Mathematics3% of their works
Research topics
- Advanced Mathematical Physics Problems
- Nonlinear Waves and Solitons
- Stability and Controllability of Differential Equations
- Nonlinear Photonic Systems
- Navier-Stokes equation solutions
- Nonlinear Partial Differential Equations
- Spectral Theory in Mathematical Physics
- Advanced Mathematical Modeling in Engineering
Which keywords describe Frank Merle's research?
The keywords of their largest research topics: Nonlinear Schrödinger Equation, Solitons, Global Well-Posedness, Scattering, Nonlinear Equations, Global Existence, Rogue Waves and Soliton Solutions.
- Multiscale Methods
- Spectral Theory
- Sobolev Spaces
- Navier-Stokes Equations
- Nonlinear Photonic Systems
- Distributed Parameter Systems
- Soliton Solutions
- Global Existence
- Scattering
- Solitons
- Nonlinear Schrödinger Equation
- Global Well-Posedness
- Nonlinear Equations
- Rogue Waves
- Boundary Control
- Discrete
- Compressible Flows
- Fractional Laplacian
- Differential Operators
- Heterogeneous
Size is their works in the topics tagged with each word, from their 8 largest topics. Each links to the topic it comes from most.
All 20 words, with their numbers
- Nonlinear Schrödinger Equation2332 topics
- Solitons1982 topics
- Global Well-Posedness1581 topic
- Scattering1581 topic
- Nonlinear Equations1012 topics
- Global Existence972 topics
- Rogue Waves751 topic
- Soliton Solutions751 topic
- Boundary Control581 topic
- Distributed Parameter Systems581 topic
- Discrete401 topic
- Nonlinear Photonic Systems401 topic
- Compressible Flows391 topic
- Navier-Stokes Equations391 topic
- Fractional Laplacian261 topic
- Sobolev Spaces261 topic
- Differential Operators161 topic
- Spectral Theory161 topic
- Heterogeneous111 topic
- Multiscale Methods111 topic
Where does Frank Merle work?
Frank Merle's main affiliation in the publication record is CY Cergy Paris Université, France.
How many publications and citations does Frank Merle have?
OpenAlex counts 179 works and 9,746 citations for Frank Merle, an h-index of 55, ranking #34,086 of 7,710,434 researchers worldwide on the quality score.
Ranked on field-normalised excellence (50%), output (30%) and citations (20%). Counts come from OpenAlex author records, which occasionally merge different people who share a name or split one person into several.
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