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Mathematics

D-Index
32
Citations
3907
World Ranking
3219
National Ranking
212

Overview

Darren Crowdy is affiliated with Imperial College London in the United Kingdom and has produced a significant body of research primarily in the fields of engineering and physics and astronomy. Their work extensively covers computational mechanics and condensed matter physics, with notable contributions in surface modification, fluid dynamics, and micro and nano robotics.

The scientist's recent publications demonstrate a focus on fluid dynamics and surface phenomena. Key papers include:

  • Slip length formulas for longitudinal shear flow over a superhydrophobic grating with partially filled cavities, 2021, Journal of Fluid Mechanics
  • Superhydrophobic annular pipes: a theoretical study, 2020, Journal of Fluid Mechanics
  • Collective viscous propulsion of a two-dimensional flotilla of Marangoni boats, 2020, Physical Review Fluids
  • Thermocapillary stress and meniscus curvature effects on slip lengths in ridged microchannels, 2020, Journal of Fluid Mechanics
  • Stuart-type polar vortices on a rotating sphere, 2020, Discrete and Continuous Dynamical Systems

Throughout their career, Crowdy has frequently published in several key scientific venues, including:

  • Journal of Fluid Mechanics
  • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • Physical Review Fluids
  • Journal of Engineering Mathematics
  • IMA Journal of Applied Mathematics

Their collaborations include multiple papers coauthored with researchers such as Hiroyuki Miyoshi, Rhodri Nelson, Vikas S. Krishnamurthy, Henry Rodriguez-Broadbent, and Adrian Constantin.

The principal research topics covered in Crowdy's work encompass:

  • Surface Modification and Superhydrophobicity
  • Fluid Dynamics and Thin Films
  • Micro and Nano Robotics
  • Fluid Dynamics and Turbulent Flows
  • Pickering emulsions and particle stabilization
  • Fluid Dynamics and Heat Transfer
  • Lattice Boltzmann Simulation Studies

Crowdy has also contributed to academic literature in the form of book publications. One notable book, published by the Society for Industrial and Applied Mathematics in 2020, is Solving Problems in Multiply Connected Domains, which has been cited multiple times.

The scientific output of Darren Crowdy reflects multidisciplinary research spanning fundamental and applied aspects of engineering and physics, with a particular emphasis on fluid mechanics, surface science, and simulation techniques.

Best Publications

  • The Schwarz-Christoffel mapping to bounded multiply connected polygonal domains

    Darren Crowdy

  • Conformal Mappings between Canonical Multiply Connected Domains

    Darren Crowdy;Jonathan Marshall

  • A class of exact multipolar vortices

    Darren Crowdy

  • Schwarz-Christoffel mappings to unbounded multiply connected polygonal regions

    Darren Crowdy

  • A new calculus for two-dimensional vortex dynamics

    Darren Crowdy

  • Analytical formulae for the Kirchhoff-Routh path function in multiply connected domains

    Darren Crowdy;Jonathan Marshall

  • Slip length for longitudinal shear flow over a dilute periodic mattress of protruding bubbles

    Darren Crowdy

  • General solutions to the 2D Liouville equation

    Darren G. Crowdy

  • Exact solutions for rotating vortex arrays with finite-area cores

    Darren G. Crowdy

  • Solving Problems in Multiply Connected Domains

    Darren Crowdy

  • Computing the Schottky-Klein Prime Function on the Schottky Double of Planar Domains

    Darren G. Crowdy;Jonathan S. Marshall

  • Two-dimensional point singularity model of a low-Reynolds-number swimmer near a wall

    Darren G. Crowdy;Yizhar Or

  • Stuart vortices on a sphere

    Darren G. Crowdy

  • Geometric function theory: a modern view of a classical subject

    Darren Crowdy

  • Quadrature Domains and Fluid Dynamics

    Darren Crowdy

  • A two-dimensional model of low-Reynolds number swimming beneath a free surface

    Darren Crowdy;Sungyon Lee;Ophir Samson;Eric Lauga

  • Theory of exact solutions for the evolution of a fluid annulus in a rotating Hele-Shaw cell

    Darren Crowdy

  • Calculating the lift on a finite stack of cylindrical aerofoils

    Darren Crowdy

  • The construction of exact multipolar equilibria of the two-dimensional Euler equations

    Darren Crowdy

  • The Schottky–Klein prime function: a theoretical and computational tool for applications

    Darren Crowdy;Everett Kropf;Christopher Green;Mohamed Nasser

  • Constructing Multiply Connected Quadrature Domains

    Darren Crowdy;Jonathan Marshall

Frequent Co-Authors

Heike Ebendorff-Heidepriem
Heike Ebendorff-Heidepriem University of Adelaide
Adrian Constantin
Adrian Constantin University of Vienna
Athanassios S. Fokas
Athanassios S. Fokas University of Cambridge
Ruud Weijermars
Ruud Weijermars King Fahd University of Petroleum and Minerals
Sébastien Michelin
Sébastien Michelin École Polytechnique
Tanya M. Monro
Tanya M. Monro University of South Australia

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