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Peter Howell

Pye Tutorial Fellow in Mathematics; Professor of Applied Mathematics

Teaching

In Univ I teach all the first and second year core and optional courses in applied mathematics. I also give Departmental lectures and intercollegiate classes in various third and fourth year options and graduate courses. Subjects in which I specialise include: calculus and differential equations; classical mechanics; fluid dynamics; elasticity and plasticity; perturbation methods; and applied complex analysis.

Research

My research generally involves the application of mathematics to problems in the real world. The mathematical skills that I use include perturbation methods, analysis of partial differential equations, complex variable techniques and scientific computation. Application areas on which I have worked recently include screen printing of solar cells; novel bistable liquid crystal devices; the manufacture of ultra-thin glass screens for smartphones and tablets; and theories for the extreme plastic behaviour of metals exposed to enormous pressures up to 10 million atmospheres.

Selected Publications

Influence of van der Waals forces on a bubble moving in a tube – Hammoud, NH; Trinh, PH; Howell, PD; Stone, HA;聽PHYSICAL REVIEW FLUIDS聽issue 6聽volume 2聽(6 June 2017)

Nematic Equilibria on a Two-Dimensional Annulus – Lewis, AH; Aarts, DGAL; Howell, PD; Majumdar, A;聽STUDIES IN APPLIED MATHEMATICS聽issue 4volume 138聽page 438-466聽(May 2017)

Quantum mechanical effects in continuum charge flow models – Black, JP; Breward, CJW; Howell, PD;聽IMA JOURNAL OF APPLIED MATHEMATICS聽issue 2volume 82聽page 251-279聽(April 2017)

Modelling the Effect of Shear Strength on Isentropic Compression Experiments – Thomson, S; Howell, P; Ockendon, J; Ockendon, H;聽 SHOCK COMPRESSION OF CONDENSED MATTER – 2015聽volume 1793聽(2017)

A model for extreme plasticity – Thomson, SJ; Howell, PD; Journal of the Mechanics and Physics of Solidsvolume 94聽page 362-371聽(1 September 2016)

Rivulet flow over a flexible beam – Howell, PD; Kim, H; Popova, MG; Stone, HA;聽JOURNAL OF FLUID MECHANICS聽volume 796聽page 285-305聽(June 2016)

Convection of a fluid with strongly temperature and pressure dependent viscosity – Fowler, AC; Howell, PD; Khaleque, TS;聽GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS聽issue 2聽volume 110聽page 130-165聽(3 March 2016)

Edge behaviour in the glass sheet redraw process – O’Kiely, D; Breward, CJW; Griffiths, IM; Howell, PD; Lange, U;聽JOURNAL OF FLUID MECHANICS聽volume 785聽page 248-269聽(December 2015)

Numerical studies of thermal convection with temperature-and pressure-dependent viscosity at extreme viscosity contrasts – Khaleque, TS; Fowler, AC; Howell, PD; Vynnycky, M;聽PHYSICS OF FLUIDS聽issue 7聽volume 27聽page 076603-076603聽(July 2015)

For a full list please see my .