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Laboratoire Jacques-Louis Lions

In research, Laboratoire Jacques-Louis Lions stands highest in Physical Sciences (#5,360 of 12,888 worldwide), 2022–2025. Relative to its size it is most specialised in Applied Mathematics and Mathematics — Applied Mathematics is 33.5× its share of world research.

ljll.frROR OpenAlex
World rank, 2022–2025
#9,633
of 28,054 · #6,712 all time
Rank in France
#336
of 1,422
Research works
1.4k
▼ 25% vs 2013–17
Citations
32k
21.8 per fractional work
Top-10% rate
14.7%
record average 16.5%
Open access
63%
world 28%

What is Laboratoire Jacques-Louis Lions known for in research?

The fields where it stands highest, 2022–2025, ranked among every institution above the floor in each field.

FieldWorld rankWhere that sitsTop-10% rateWorksAll time
Physical SciencesDomain #5,360 of 12,888 15.2%181 #4170

Each strip is that field’s whole ranked pool, with the notch where Laboratoire Jacques-Louis Lions sits in it, in the colour of the band that rank falls in. The track under the rate is the rate itself: it carries no world mark, because the world rate differs by field (from about 6% to 21% in this record).

What does Laboratoire Jacques-Louis Lions specialise in?

Where its research is concentrated relative to its size: Applied Mathematics takes 33.5× the share of its output that it takes of world research.

  1. Applied MathematicsSubfield · 20.1 works34×
  2. MathematicsField · 58.3 works24×
← less than its size predicts1×more →

Location quotient, a volume reading rather than an impact one. It surfaces small, lopsided specialities.

Field profile

Location quotient across every field it publishes in: outside the ring is more than an institution of this size would be expected to publish, inside it is less.

Agricultural and Biological Sciences: 0.29× its world share, 3 worksAgricultural and Bio…Biochemistry, Genetics and Molecular Biology: 0.72× its world share, 8 worksBiochemistry, Geneti…Immunology and Microbiology: 0.12× its world share, 0 worksImmunology and Micro…Neuroscience: 0.32× its world share, 1 worksNeuroscienceChemical Engineering: 1.03× its world share, 1 worksChemical EngineeringChemistry: 0.19× its world share, 1 worksChemistryComputer Science: 1.60× its world share, 26 worksComputer ScienceEarth and Planetary Sciences: 1.54× its world share, 5 worksEarth and Planetary …Energy: 0.13× its world share, 0 worksEnergyEngineering: 1.62× its world share, 51 worksEngineeringEnvironmental Science: 0.34× its world share, 4 worksEnvironmental ScienceMaterials Science: 0.43× its world share, 3 worksMaterials ScienceMathematics: 23.67× its world share, 58 worksMathematicsPhysics and Astronomy: 7.09× its world share, 33 worksPhysics and AstronomyHealth Professions: 0.03× its world share, 0 worksHealth ProfessionsMedicine: 0.20× its world share, 8 worksMedicineNursing: 0.10× its world share, 0 worksNursingArts and Humanities: 0.12× its world share, 1 worksArts and HumanitiesDecision Sciences: 1.02× its world share, 2 worksDecision SciencesEconomics, Econometrics and Finance: 0.40× its world share, 2 worksEconomics, Econometr…Psychology: 0.13× its world share, 1 worksPsychologySocial Sciences: 0.07× its world share, 2 worksSocial Sciences1×world share
more than its size predictsabout as predictedless

Rings at 0.5×, 1× and 2×. Widest outward: Mathematics, 23.7×. Every wedge is a field page.

Who are the top researchers at Laboratoire Jacques-Louis Lions?

Ranked on the composite score, François Murat, Albert Cohen and Benoı̂t Perthame lead among researchers whose main affiliation is Laboratoire Jacques-Louis Lions.

  1. 1 François Murat France · #29,829 worldwide 590 citations · 49 works
  2. 2 Albert Cohen France · #33,762 worldwide 374 citations · 43 works
  3. 3 Benoı̂t Perthame France · #36,124 worldwide 837 citations · 100 works
  4. 4 Amandine Aftalion France · #73,114 worldwide 371 citations · 31 works
  5. 5 Jean‐Michel Coron France · #75,381 worldwide 510 citations · 71 works
  6. 6 Vivette Girault France · #136,704 worldwide 201 citations · 33 works
  7. 7 Yvon Maday France · #167,064 worldwide 181 citations · 22 works
  8. 8 Yves Achdou France · #207,690 worldwide 157 citations · 38 works
  9. 9 Sergio Guerrero France · #213,517 worldwide 192 citations · 22 works
  10. 10 Hasnaa Zidani France · #250,611 worldwide 98 citations · 33 works
All ranked researchers at Laboratoire Jacques-Louis Lions

Which keywords describe research at Laboratoire Jacques-Louis Lions?

By fractional works in 2022–2025, weighted toward what it does more of than the world: Porous Media, Finite Element, Heterogeneous, Multiscale Methods, Inverse Problems, Adaptive Mesh Refinement, High-Order Schemes and Fluid-Structure Interaction.

▲ more of its work than of the world’s◆ about the world’s share▼ less than the world’s

Size is fractional works in 2022–2025 in the topics tagged with each word; colour is the word's share of this institution's work against its share of the world's. The 40 words are chosen for being large and distinctive. Each links to the topic it comes from most.

All 40 words, with their numbers
  1. Porous Media15▲ 53×4 topics
  2. Finite Element14▲ 150×2 topics
  3. Heterogeneous13▲ 161×1 topic
  4. Multiscale Methods13▲ 161×1 topic
  5. Inverse Problems12▲ 53×4 topics
  6. Adaptive Mesh Refinement12▲ 90×2 topics
  7. High-Order Schemes12▲ 90×2 topics
  8. Fluid-Structure Interaction10▲ 33×5 topics
  9. Global Existence10▲ 157×2 topics
  10. Numerical Methods10▲ 59×3 topics
  11. Nonlinear Schrödinger Equation10▲ 87×2 topics
  12. Feedback Control9▲ 27×5 topics
  13. Solitons9▲ 94×2 topics
  14. Global Well-Posedness8▲ 190×1 topic
  15. Scattering8▲ 190×1 topic
  16. Mathematical Modeling8▲ 42×2 topics
  17. Discontinuous Galerkin Methods8▲ 159×1 topic
  18. Finite Element Methods8▲ 159×1 topic
  19. Nonlinear Equations8▲ 28×5 topics
  20. Controllability7▲ 81×2 topics
  21. Nonlinear Systems7▲ 16×8 topics
  22. Stability7▲ 14×3 topics
  23. Viscoelasticity7▲ 50×2 topics
  24. Boundary Value Problems6▲ 60×3 topics
  25. Boundary Control6▲ 138×1 topic
  26. Distributed Parameter Systems6▲ 138×1 topic
  27. Radial Basis Functions6▲ 41×2 topics
  28. Maxwell's Equations6▲ 96×2 topics
  29. Hamiltonian Systems6▲ 89×2 topics
  30. Electrical Impedance Tomography5▲ 75×2 topics
  31. Ill-Posed Problems5▲ 118×1 topic
  32. Regularization Methods5▲ 118×1 topic
  33. Stochastic Differential Equations5▲ 38×2 topics
  34. Infectious Diseases5▲ 7.2×2 topics
  35. Numerical Integration5▲ 84×2 topics
  36. Monte Carlo Simulation5▲ 11×5 topics
  37. Differential Equations5▲ 99×1 topic
  38. Exponential Integrators5▲ 101×1 topic
  39. Partial Differential Equations5▲ 41×2 topics
  40. Stability Analysis5▲ 13×4 topics

Which research topics does Laboratoire Jacques-Louis Lions publish most on?

By volume in 2022–2025: Advanced Mathematical Modeling in Engineering, Advanced Mathematical Physics Problems, Advanced Numerical Methods in Computational Mathematics and Stability and Controllability of Differential Equations.

Advanced Mathematical Mo…13Advanced Mathematical Modeling in Engineering: 13 fractional worksAdvanced Mathematical Physics Problems: 8 fractional worksAdvanced Numerical Metho…8Advanced Numerical Methods in Computational Mathematics: 8 fractional worksStability and Controllab…6Stability and Controllability of Differential Equations: 6 fractional worksNumerical methods in inverse problems: 5 fractional worksNumerical methods for differential equations: 5 fractional worksNavier-Stokes equation s…4Navier-Stokes equation solutions: 4 fractional worksComputational Fluid Dynamics and Aerodynamics: 4 fractional worksMathematical Biology Tumor Growth: 4 fractional worksNonlinear Partial Differential Equations: 4 fractional works
Computational Theory and MathematicsMathematical PhysicsComputational MechanicsControl and Systems Engineering3 others

Area is fractional works; colour is the subfield each topic belongs to.

  1. 1 Advanced Mathematical Modeling in Engineering Computational Theory and Mathematics 13 works
  2. 2 Advanced Mathematical Physics Problems Mathematical Physics 8 works
  3. 3 Advanced Numerical Methods in Computational Mathematics Computational Mechanics 8 works
  4. 4 Stability and Controllability of Differential Equations Control and Systems Engineering 6 works
  5. 5 Numerical methods in inverse problems Mathematical Physics 5 works
  6. 6 Numerical methods for differential equations Numerical Analysis 5 works
  7. 7 Navier-Stokes equation solutions Applied Mathematics 4 works
  8. 8 Computational Fluid Dynamics and Aerodynamics Computational Mechanics 4 works
  9. 9 Mathematical Biology Tumor Growth Modeling and Simulation 4 works
  10. 10 Nonlinear Partial Differential Equations Applied Mathematics 4 works

How open and international is its research?

Against the world’s own shares — the tick on each track. Both are shares of its output, so they sit on one scale and can be read against each other as well as against the world.

openly available62.6%not open37.4%

World: 28% of research is openly available.

with international co-authors29.9%domestic only70.1%

World: 19% is written across borders.

How has Laboratoire Jacques-Louis Lions's research output changed?

Output in 2018–2022 was 25% lower than in 2013–2017.

1990200020102020
grewheldshrank

The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.

Other research institutions in Paris

All research institutions in Paris

Research measures only: rankings here say nothing about teaching, admissions or student experience. Comparable institutions and collaboration partners are in the interactive view on the map.