Unit M15: Applied Numerical Analysis
John von Neumann Professor Peter Markowich
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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