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Published byAron Lane Modified over 9 years ago
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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
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