Ashley Willis

Dr.  Ashley P. Willis

Senior Lecturer of Applied Mathematics

Room H12, Hicks Building

School of Mathematics and Statistics
University of Sheffield
S3 7RH, U.K.

a.p.willis /a/

+44 (0)114 2223746

Things I've done...

Jacobian-free Newton-Krylov (JFNK) code

Double pendulum android app

Publications + preprints

Google Scholar page

A description of the mathematics behind the following videos can be found here.

Work with me! 

PhDs: I am interested in supervising motivated students with a strong mathematical background, in applying their knowledge and learning new techniques for the study of dynamical systems. An excellent setting for new methods, perhaps the traditional test-bed, is the modelling of fluid flows. Unexpected transitions in flow patterns and chaotic behaviour are commonplace, and our understanding of nature is greatly enhanced through numerical simulation and experiments. I am particularly interested in the appearance of turbulence in fluid flows, and modelling of the flows inside planets. The latter is usually responsible for the generation of planetary magnetic fields. For further information please contact me. The following links may also be of interest: Turbulence. Dynamos.

Please note that all PhD applications must be made through the university system: School info on PhD places.

Collaborator's pages 

Elena Marensi , EPSRC Research Assocate, Sheffield, Optimization in Fluid Mechanics ;

Marc Avila Bremen; Predrag Cvitanović Georgia Tech ( ); Yohann Duguet LIMSI; Dave Gubbins Leeds; Yongyun Hwang Imperial; Rich Kerswell Cambridge; Jeorge Peixinho Le Havre.

Sheffield Fluid Dynamics Group

SoMaS Applied Mathematics Seminars

2010/18-present: Lecturer/Senior Lecturer, School of Mathematics & Statistics, University of Sheffield, U.K.
2008-10: EU Marie Curie Fellow (PI), Laboratoire d'Hydrodynamique (LadHyX), Ecole Polytechnique, Paris, France
2005-08: EPSRC Research Associate, School of Mathematics, University of Bristol, U.K.
2002-05: NERC Research Fellow (RA), School of Earth Sciences, University of Leeds, U.K.
2002: Ph.D. Applied Mathematics, Newcastle University, U.K.