Pierre‐Louis Lions
Pierre‐Louis Lions publishes mostly in Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics, on topics such as Nonlinear Partial Differential Equations, Advanced Mathematical Modeling in Engineering and Stochastic processes and financial applications.
- World rank
- #17,687 of 7,710,434 ranked researchers
- Rank in France
- #3,098 of 324,115
- Works
- 287
- Citations
- 37k
- Citations per work
- 129.7
What does Pierre‐Louis Lions research?
Pierre‐Louis Lions's work is mostly in Mathematics (33%), Computer Science (11%), Economics, Econometrics and Finance (9%).
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 Sciences15654.2%
- Mathematics9633.3%
- Computer Science3211.2%
- Physics and Astronomy144.9%
- Engineering144.8%
- Everything else10737.3%
- Social Sciences248.5%
- 1Applied Mathematics23% of their works
- 2Computational Theory and Mathematics11% of their works
- 3Mathematical Physics10% of their works
- 4Finance8% of their works
- 5Statistical and Nonlinear Physics5% of their works
- 6Computational Mechanics5% of their works
Research topics
- Nonlinear Partial Differential Equations
- Advanced Mathematical Modeling in Engineering
- Stochastic processes and financial applications
- Navier-Stokes equation solutions
- Geometric Analysis and Curvature Flows
- Optimization and Variational Analysis
- Advanced Mathematical Physics Problems
- Economic theories and models
Which keywords describe Pierre‐Louis Lions's research?
The keywords of their largest research topics: Fractional Laplacian, Sobolev Spaces, Heterogeneous, Multiscale Methods, Option Pricing, Stochastic Calculus, Compressible Flows and Navier-Stokes Equations.
- Nonlinear Schrödinger Equation
- Monetary Equilibrium
- Global Well-Posedness
- Ricci Curvature
- Navier-Stokes Equations
- Stochastic Calculus
- Multiscale Methods
- Sobolev Spaces
- Fractional Laplacian
- Heterogeneous
- Option Pricing
- Compressible Flows
- Optimal Transport
- Asset Pricing
- Iterative Algorithms
- Nonlinear Operators
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. The words come from the keyword list OpenAlex gives each topic, not from the text of the papers, so a word can appear that none of the papers uses.
All 16 words, with their numbers
- Fractional Laplacian651 topic
- Sobolev Spaces651 topic
- Heterogeneous581 topic
- Multiscale Methods581 topic
- Option Pricing571 topic
- Stochastic Calculus571 topic
- Compressible Flows281 topic
- Navier-Stokes Equations281 topic
- Optimal Transport251 topic
- Ricci Curvature251 topic
- Asset Pricing211 topic
- Global Well-Posedness211 topic
- Iterative Algorithms211 topic
- Monetary Equilibrium211 topic
- Nonlinear Operators211 topic
- Nonlinear Schrödinger Equation211 topic
Where does Pierre‐Louis Lions work?
Pierre‐Louis Lions's main affiliation in the publication record is Université Paris Dauphine-PSL, France.
How many publications and citations does Pierre‐Louis Lions have?
OpenAlex counts 287 works and 37,220 citations for Pierre‐Louis Lions, an h-index of 78, ranking #17,687 of 7,710,434 researchers worldwide on the quality score.
Ranked on field-normalised citation 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.
Other researchers named Pierre‐Louis Lions
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