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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.

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Turbulence the most important unsolved problem of classical physics r feynman
Turbulence-the most important unsolved problem of classical physics (R. Feynman)



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)




Prerequisites

Essential:

A good understanding of Ordinary Differential Equations

Computational skills (Maple/Matlab/Mathematica)

Desirable: some experience with dynamical systems


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