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