Oxford Centre for Nonlinear PDE

 

 

Focussing on the fundamental analysis of PDE, and numerical algorithms for their solutions. 

The Oxford Centre for Nonlinear PDE (OxPDE) is a vibrant and stimulating research environment, providing leadership in the area of nonlinear PDE within the UK.

PDEs are ubiquitous in almost all applications of mathematics, where they provide a natural mathematical description of many phenomena. The behaviour of every material object, with length scales ranging from sub-atomic to astronomical and timescales ranging from picoseconds to millennia, can be modelled by PDE or by equations having similar features.

The centre focuses on the fundamental analysis of nonlinear PDE, and numerical algorithms for their solution. Current areas of interest include the calculus of variations, nonlinear hyperbolic systems, inverse problems, homogenization, infinite-dimensional dynamical systems, geometric analysis and PDE arising in solid and fluid mechanics, materials science, liquid crystals, biology and relativity.

Amongst other initiatives we run an active visitor programme, an events programme, a dedicated technical report series and host national events and visitors calendars for the PDE community. 

Event Sponsorship

OxPDE has dedicated funds for the purpose of providing support for events within the UK to promote nonlinear PDE. Are you a researcher based in the UK who is thinking of organising an event in the area of nonlinear PDE or nonlinear problems in PDE? If so, why not submit a proposal to us for funding. The Centre may also be able to offer other support and advice regarding the organising of the event.

Are you about to advertise a vacancy for a new faculty member within your UK University? Will the position be related to nonlinear PDE or nonlinear problems in PDE? If so, you can submit a proposal for event funding to be assoicated to the vacancy. The event proposal submitted by your newly appointed faculty member will then be considered as a matter of priority.

How to make an event proposal

Studentships in the mathematics of solid and liquid crystals (Oxford Centre for Nonlinear PDE and Queen's College)

Applications are invited for four 4-year postgraduate studentships, to work on problems in the Mathematics of Solid and Liquid Crystals under the supervision of Professor Sir John Ball FRS. These DPhil studentships will start on 1 October 2012, and will be based in the Oxford Centre for Nonlinear PDE (OxPDE). They will be funded by a European Advanced Investigator grant awarded to Professor Ball, and their availability is subject to completion of the related contract, expected by the end of 2011. The students will form part of a team funded by the grant which will include four postdoctoral fellows. The studentships are attached to the Queen’s College. The studentships cover full stipend together with university and college fees. Closing date is Friday 17 February 2012.

Further Particulars

News

The 2011 SIAG/APDE Prize, SIAM, USA:

The Society for Industrial and Applied Mathematics (SIAM, USA) awards the SIAG/Analysis of Partial Differential Equations Prize (one prize every two years) to the authors of the most outstanding paper, as determined by the committee, on a topic in Partial Differential Equations published in English in a peer-reviewed journal in the four calendar years preceding the year of the award.

The committee wishes to recognize Gui-Qiang G. Chen and Mikhail Feldman for their paper, "Global Solutions of Shock Reflection by Large-Angle Wedges for Potential Flow," Annals of Mathematics, Volume 171, Issue 2 (2010), 1067-1182, "in which they proved the existence and stability of a solution for the equations of two-dimensional compressible gas dynamics, for the case of a shock reflection from a wedge.  This problem, originating with work of Ernst Mach, has long defied careful mathematical analysis."

Congratulations to Professor Chen!

OxPDE Mathematicians Awarded London Mathematical Society Prizes 2011

We are delighted to announce that two OxPDE mathematicians have been awarded London Mathemtical Society prizes this year: the Naylor Prize and Lecture to Bryce McLeod, and a Whitehead Prize to Barbara Niethammer.

Congratulations to them both!

Further details can be found on the LMS website at http://www.lms.ac.uk/content/citations-lms-prize-winners

OxPDE Mathematician Wins Oxford University Graduate Photography Competition 2011

Congratulations to Yasemin Sengul for the winning entry to this year's Graduate Photography Competition, you can view the winning photograph at http://www.ox.ac.uk/admissions/postgraduate_courses/about_the_city/graduate_photography.html 

Dan Henry's Manuscripts

The Departamento de Matematica Aplicada, Instituto de Matematica e Estatistica, Brasil have published the handwritten manuscripts of Dan Henry on their website.  These manuscripts can be viewed by clicking on the following links:

http://www.ime.usp.br/map/dhenry/danhenry/eng/intro.htm

http://www.ime.usp.br/map/dhenry/danhenry/eng/sumario.htm

 

Get involved

Links

The Centre receives funding from: