World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
31
Citations
3581
World Ranking
3363
National Ranking
221

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

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students interested in branching out from Mathematics, several online degree programs offer flexible and efficient learning options. The demand for practical business and finance skills has made the easiest mba online programs a popular choice among those seeking career growth without sacrificing time.

Entrepreneurs and aspiring executives often explore the cheapest aacsb online dba programs, which provide advanced leadership knowledge with respected accreditation yet remain budget-friendly.

For math graduates interested in finance, the best online masters in finance offer specialized expertise that aligns with quantitative skills and unlocks opportunities in banking, investment, and financial analysis.

Time-conscious learners benefit from programs like the fastest online mba programs, which enable degree completion at an accelerated pace, helping professionals pivot quickly into new career avenues.

Best Scientists Citing Juan Dávila

Trending Scientists

Recently Published Articles