Past OxPDE Events

10 June 2010
10:00
Professor Bob Pego
Abstract

Clustering phenomena occur in numerous areas of science. This series of lectures will discuss:

(i) basic kinetic models for clustering- Smoluchowski's coagulation equation, random shock clustering, ballistic aggregation, domain-wall merging;

(ii) Criteria for approach to self-similarity- role of regular variation;

(iii) The scaling attractor and its measure representation. A particular theme is the use of methods and insights from probability in tandem with dynamical systems theory. In particular there is a

close analogy of scaling dynamics with the stable laws of probability and infinite divisibility.

21 May 2010
10:00
to
28 May 2010
10:00
Professor Bob Pego
Abstract
<p>Clustering phenomena occur in numerous areas of science.</p> <p>This series of lectures will discuss:</p> <p>(i) basic kinetic models for clustering- Smoluchowski's coagulation equation, random shock clustering, ballistic aggregation, domain-wall merging;</p> <p>(ii) Criteria for approach to self-similarity- role of regular variation;</p> <p>(iii) The scaling attractor and its measure representation.</p> <p>A particular theme is the use of methods and insights from probability in tandem with dynamical systems theory. In particular there is a</p> <p>close analogy of scaling dynamics with the stable laws of probability and infinite divisibility.</p>
13 July 2009
18:00
Professor Pierre-Louis Lions
Abstract
<p> In this talk, Professor Lions will first present several examples of numerical simulations of complex industrial systems. All these simulations rely upon some mathematical models involving partial differential equations and he will briefly explain the nature, history and role of such equations. Examples showing the importance of the mathematical analysis (i.e. ‘understanding’) of those models will be presented, concluding with a few trends and perspectives. </p> <p> <br /> Pierre-Louis Lions is the son of the famous mathematician Jacques-Louis Lions and has himself become a renowned mathematician, making numerous important contributions to the theory of non-linear partial differential equations. He was awarded a Fields Medal in 1994, in particular for his work with Ron DiPerna giving the first general proof that the Boltzmann equation of the kinetic theory of gases has solutions. Other awards Lions has received include the IBM Prize in 1987 and the Philip Morris Prize in 1991. Currently he holds the position of Chair of Partial Differential Equations and their Applications at the prestigious Collège de France in Paris. </p> <p> <br /> This lecture is given as part of the 7th ISAAC Congress • www.isaac2009.org </p> <p> Clore Lecture Theatre, Huxley Building, Imperial College London,<br /> South Kensington Campus, London SW7 2AZ </p> <p> RSVP: Attendance is free, but with registration in advance<br /> Michael Ruzhansky • m.ruzhansky@imperial.ac.uk </p>
5 June 2008
09:30
to
16:30
Abstract
In St Anne's College. Confirmed Speakers:<ul><li>Alfio Quarteroni (EPFL) — Heterogeneous Domain Decomposition Methods</li><li>Laure Saint-Raymond (Paris VI &amp; ENS) — Weak compactness methods for singular penalization problems with boundary layers</li><li>Bryce McLeod (Oxford) — A problem in dislocation theory</li><li>Tom Bridges (Surrey) — Degenerate conservation laws, bifurcation of solitary waves and the concept of criticality in fluid mechanics</li><li>Neshan Wickramasekera (Cambridge) — Frequency functions and singular set bounds for branched minimal graphs</li></ul><p>The meeting is being held in the Mary Ogilvie Lecture Theatre, St Anne’s College and will start promptly at 9:30am with the last talk finishing at 4:30pm. </p><p>For the full programme and registration pages please see: http://www2.maths.ox.ac.uk/oxpde/meetings/</p>