Abstract
This is an introductory course on the open problems of fully developed turbulence which present a long standing challenge for theoretical and mathematical physics. The plan of the course is as follows:
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Lecture 1. Hydrodynamical equations. Existence of solutions. Statistical description. Kolmogorov scaling theory.
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Lecture 2. Functional approach to turbulence, similarities and differences with field theory.
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Lecture 3. Passive scalar and breakdown of the Kolmogorov theory.
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Lecture 4. Inverse renormalization group.
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Gawȩdzki, K. (1997). Turbulence under a Magnifying Glass. In: ’t Hooft, G., Jaffe, A., Mack, G., Mitter, P.K., Stora, R. (eds) Quantum Fields and Quantum Space Time. NATO ASI Series, vol 364. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1801-7_6
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