Partial Differential Equations: Origins, Developments and Roles in the Changing World

11 November 2010
17:00
Professor Gui-Qiang G. Chen
Abstract
The Mathematical Institute invites you to attend the Inaugural Lecture of Professor Gui-Qiang G. Chen. Professor in the Analysis of Partial Differential Equations. Examination Schools, 75-81 High Street, Oxford, OX 4BG. There is no charge to attend but registration is required. Please register your attendance by sending an email to events@maths.ox.ac.uk specifying the number of people in your party. Admission will only be allowed with prior registration. --------------------------------------------------------------------------------------------------------------------------------------------------------------------- ABSTRACT While calculus is a mathematical theory concerned with change, differential equations are the mathematician's foremost aid for describing change. In the simplest case, a process depends on one variable alone, for example time. More complex phenomena depend on several variables – perhaps time and, in addition, one, two or three space variables. Such processes require the use of partial differential equations. The behaviour of every material object in nature, with timescales ranging from picoseconds to millennia and length scales ranging from sub-atomic to astronomical, can be modelled by nonlinear partial differential equations or by equations with similar features. The roles of partial differential equations within mathematics and in the other sciences become increasingly significant. The mathematical theory of partial differential equations has a long history. In the recent decades, the subject has experienced a vigorous growth, and research is marching on at a brisk pace. In this lecture, Professor Gui-Qiang G. Chen will present several examples to illustrate the origins, developments, and roles of partial differential equations in our changing world.
  • Differential Equations and Applications Seminar