Collection

Practical Asymptotics VII

This is a collection of articles seeking to demonstrate the usefulness and practical nature of the asymptotic approach for the discipline from which it arose. We hope that these articles will demonstrate the continuing usefulness and validity of the asymptotic approach in reducing the complexity of mathematical models to a practical minimum, i.e., without unduly sacrificing their accuracy, thus achieving large reductions in computing effort and increased physical understanding.

Editors

  • Professor Demetrios T. Papageorgiou

    Demetrios Papageorgiou is a Professor of Applied Mathematics in the Department of Mathematics at Imperial College London. His interests are in applied and computational mathematics, fluid dynamics, nonlinear waves, interfacial and multifluid flows. He is a Fellow of the American Physical Society and a Fellow of the Institute of Mathematics and its Applications.

  • Professor Anatoly I. Ruban

    Prof. Ruban’s main research interests lie in the field of high-Reynolds-number flows, including transonic flows characteristic of passenger aircraft flight. He published on various aspects of boundary-layer separation and on the receptivity of the boundary layer to external noise, acoustic noise and free-stream turbulence. His preferred mathematical tools are asymptotic analysis of the Navier—Stokes equations and development of advanced numerical techniques to solve “reduced equations” of fluid motion.

  • Dr. Ory Schnitzer

    Dr Ory Schnitzer is a Senior Lecturer in Applied Mathematics in the department of mathematics at Imperial College London. His interests are in small-scale fluid dynamics, wave phenomena and the use of asymptotic analysis to illuminate fundamental problems in those areas. His current work is focused on modelling the dynamics of non-wetting and levitating droplets, self-propelling particles and plasmonic resonances. Dr Schnitzer completed his PhD in applied mathematics in 2014 at the Technion—Israel Institute of Technology, on the topic of nonlinear electrokinetic phenomena.

Articles (11 in this collection)