Turbulence and Singularities in Fluid Flows - Mathematical Considerations

Turbulence and Singularities in Fluid Flows - Mathematical Considerations

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Turbulence and Singularities in Fluid Flows - Mathematical Considerations

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  1. 1 Intro
  2. 2 Turbulence, K'41
  3. 3 Intermittency
  4. 4 Mathematical considerations
  5. 5 Multiscale solutions
  6. 6 Construction of multiscale solns NSE
  7. 7 Time-dependent example: deterministic case
  8. 8 Time-dependent example, continued The solutions are smooth for all time. The energy is
  9. 9 Incompressible Fluid Pressure
  10. 10 Sufficient conditions for regularity, Navier-Stokes
  11. 11 Quantitative LSP
  12. 12 Criterion in terms of pressure
  13. 13 Ladyzhenskaya- Prodi-Serrin for Pressure
  14. 14 Structure function and regularity
  15. 15 Nearly selfsimilar example
  16. 16 Time dependent regions of interest
  17. 17 Multifractal scenario
  18. 18 Implementation
  19. 19 Representation formulas
  20. 20 Recap

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