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MSc Projects 2013-2014

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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MSc Projects 2013-2014

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  1. MSc Projects 2013-2014 ArghirZarnescu

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

  3. Turbulent versus laminar flows

  4. Navier-Stokes Equations classical formulation

  5. Navier-Stokes equations-turbulent solutions

  6. Prerequisites: Essential : Functional Analysis (Harmonic Analysis and Wavelets) Measure Theory PDE Theory Desirable: Some elements of probability theory

  7. Topological Classification of Liquid Crystal Defects

  8. Defects and topological restrictions: The hairy ball theorem

  9. A defect that requires line fields

  10. Prerequisites Essential: General Topology Algebraic Topology

  11. Dynamics on graphs (joint project with Istvan Kiss)

  12. Allen-Cahn equation on graphs and

  13. An alphabet of graphs: graphlets

  14. Prerequisites Essential: A good understanding of Ordinary Differential Equations Computational skills (Maple/Matlab/Mathematica) Desirable: some experience with dynamical systems

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