Unit M15: Applied Numerical Analysis

John von Neumann Professor Peter Markowich

E-mail p.a.markowichdamtp.cam.ac.uk Homepage http://www.damtp.cam.ac.uk/people/p.markowich/

John von Neumann Lecture

On some (modern) Problems in Applied Differential Equations (MA 5323)

Contents:
We present snapshots from modern research in applied partial differential equations:
1) semiclassical limits in quantum mechanics: Wigner functions and Wigner measures, WKB (high frequency) asymptotics, Bohmian measures
2) modeling of price formation in economic markets: free boundaries, Boltzmann-type models and their scaling limits
3) network formation in biology: a reaction-diffusion system exhibiting turing instability and some other interesting phenomena
4) modeling of human crowds: the Hughes (fluid-type) model, its scaling limits and connection to mean field games.

Educational objectives:
TBA

Educational methods: TBA
Media: TBA

Level: Master
Duration: 1 Semester (WS 14/15), lectures will be held from Jan 7 to Jan 30, 2014 with weekly exercises
Language: English
Exam: TBA

Prerequisites (recommended): none

Literature: TBA

-- SteffenPeter - 01 Sep 2014