msc projects 2013-2014
Post on 22-Jan-2016
29 Views
Preview:
DESCRIPTION
TRANSCRIPT
MSc Projects 2013-2014
Arghir Zarnescu
Turbulence-the most important unsolved problem of classical physics (R. Feynman)
Turbulent versus laminar flows
Navier-Stokes Equations classical formulation
Navier-Stokes equations-turbulent solutions
Prerequisites:
Essential :Functional Analysis (Harmonic Analysis and Wavelets)
Measure Theory
PDE Theory
Desirable:
Some elements of probability theory
Topological Classification of Liquid Crystal Defects
Defects and topological restrictions: The hairy ball theorem
A defect that requires line fields
Prerequisites
Essential:
General Topology
Algebraic Topology
Dynamics on graphs(joint project with Istvan Kiss)
Allen-Cahn equation on graphs and
An alphabet of graphs: graphlets
Prerequisites
Essential:
A good understanding of Ordinary Differential Equations
Computational skills (Maple/Matlab/Mathematica)
Desirable: some experience with dynamical systems
top related