World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
31
Citations
3581
World Ranking
3364
National Ranking
221

Juan Dávila publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Juan Dávila sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 93 publications — 8th percentile

8% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Juan Dávila D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Juan Dávila sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 31 D-Index — 9th percentile

9% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Juan Dávila is a researcher affiliated with the University of Bath in the United Kingdom. Their work is primarily situated within the fields of Mathematics and Engineering, focusing extensively on applied areas such as Applied Mathematics and Computational Mechanics. They have also contributed to subfields including Mathematical Physics, Computer Networks and Communications, and Statistical and Nonlinear Physics.

Their research frequently addresses complex phenomena connected to fluid mechanics and nonlinear dynamics. Key topics covered in their publications include Navier-Stokes equation solutions, Fluid Dynamics and Turbulent Flows, Nonlinear Partial Differential Equations, and Advanced Mathematical Physics Problems. Further areas of interest encompass Computational Fluid Dynamics and Aerodynamics, Nonlinear Dynamics and Pattern Formation, as well as Geometric Analysis and Curvature Flows.

Juan Dávila has an active publication record, with notable recent papers including:

  • Travelling helices and the vortex filament conjecture in the incompressible Euler equations, 2022, Calculus of Variations and Partial Differential Equations
  • Leapfrogging vortex rings for the three-dimensional incompressible Euler equations, 2024, Communications on Pure and Applied Mathematics

They have also been associated with collaborative works appearing in venues such as arXiv (Cornell University), Transactions of the American Mathematical Society, and Advances in Mathematics. Their frequent publication venues highlight a broad engagement with both preprint archives and peer-reviewed journals in mathematical analysis and applied mathematics.

Co-authorship plays a significant role in their research activities. Frequent collaborators include Manuel del Pino, Monica Musso, Juncheng Wei, Shrish Parmeshwar, and Rémy Rodiac. These collaborations span multiple projects and contribute to the development of their research outputs.

Juan Dávila's recent papers cover topics related to travelling and rotating solutions in fluid dynamics and related equations, including:

  • Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation, 2021, Transactions of the American Mathematical Society
  • Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation, 2020, arXiv (Cornell University)
  • Long-time asymptotics for evolutionary crystal dislocation models, 2020, Advances in Mathematics

Their academic contributions intersect theoretical and computational approaches to fluid dynamics, with a strong emphasis on nonlinear partial differential equations. These works contribute to ongoing research into the behavior and characterization of flows described by fundamental mathematical physics models.

Best Publications

  • Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations

    Antonio Capella;Juan Dávila;Louis Dupaigne;Yannick Sire

  • On an open question about functions of bounded variation

    J. Dávila

  • Concentrating standing waves for the fractional nonlinear Schrödinger equation

    Juan Dávila;Manuel del Pino;Juncheng Wei;Juncheng Wei

  • Nonlocal anisotropic dispersal with monostable nonlinearity

    Jerome Coville;Juan Davila;Salome Martinez

  • Pulsating fronts for nonlocal dispersion and KPP nonlinearity

    Jérôme Coville;Juan Dávila;Salomé Martínez

  • Existence and Uniqueness of Solutions to a Nonlocal Equation with Monostable Nonlinearity

    Jérôme Coville;Juan Dávila;Salomé Martínez

  • Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum

    Juan Dávila;Manuel del Pino;Serena Dipierro;Enrico Valdinoci

  • A Monotonicity Formula and a Liouville-type Theorem for a Fourth Order Supercritical Problem

    Juan Dávila;Louis Dupaigne;Kelei Wang;Juncheng Wei;Juncheng Wei

  • Nondegeneracy of the bubble in the critical case for nonlocal equations

    Juan Dávila;Manuel del Pino;Yannick Sire

  • On the fractional Lane-Emden equation

    Juan Davila;Louis Dupaigne;Juncheng Wei

  • Gluing Methods for Vortex Dynamics in Euler Flows

    Juan Davila;Juan Davila;Manuel Del Pino;Manuel Del Pino;Monica Musso;Juncheng Wei

  • STABLE SOLUTIONS FOR THE BILAPLACIAN WITH EXPONENTIAL NONLINEARITY.

    Juan Dávila;Louis Dupaigne;Ignacio Guerra;Marcelo Montenegro

  • Positive versus free boundary solutions to a singular elliptic equation

    Juan Dávila;Marcelo Montenegro

  • Singularity formation for the two-dimensional harmonic map flow into S-2

    Juan Dávila;Juan Dávila;Manuel del Pino;Manuel del Pino;Juncheng Wei

  • Hardy-type inequalities

    Juan Dávila;Louis Dupaigne

  • Nonlocal s-minimal surfaces and Lawson cones

    Juan Dávila;Manuel del Pino;Juncheng Wei

  • The extremal solution of a boundary reaction problem

    Juan Dávila;Louis Dupaigne;Marcelo Montenegro

  • Partial regularity of finite Morse index solutions to the Lane-Emden equation

    Juan Dávila;Louis Dupaigne;Alberto Farina

  • Fast and slow decay solutions for supercritical elliptic problems in exterior domains

    Juan Dávila;Manuel del Pino;Monica Musso;Monica Musso;Juncheng Wei

  • Multiplicity of solutions for a fourth order equation with power-type nonlinearity

    Juan Dávila;Isabel Flores;Ignacio Guerra

  • Existence and asymptotic behavior for a singular parabolic equation

    Juan Dávila;Marcelo Montenegro

Frequent Co-Authors

Manuel del Pino
Manuel del Pino University of Bath
Juncheng Wei
Juncheng Wei Chinese University of Hong Kong
Monica Musso
Monica Musso University of Bath
Enrico Valdinoci
Enrico Valdinoci University of Western Australia
Angela Pistoia
Angela Pistoia Sapienza University of Rome
Julio D. Rossi
Julio D. Rossi University of Buenos Aires
Michel Chipot
Michel Chipot University of Zurich
Ireneo Peral
Ireneo Peral Autonomous University of Madrid

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