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