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Global Conservation LawsExplores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.
Linear Dependence and SolutionsExplores linear dependence in matrices, systems of equations, unique solutions, derivatives, and integrals of quadratic functions.
Scale-by-scale Energy BudgetExplores the scale-by-scale energy budget in fluid dynamics, emphasizing energy redistribution between different scales and conservation laws.
Kolmogorov Turbulence TheoryExplores Kolmogorov's turbulence theory, covering Navier-Stokes equations, conservation laws, energy budgets, and experimental laws of turbulence.