Symmetries in Fluid DynamicsExplores the restoration of symmetries in fluid dynamics equations, particularly the Navier-Stokes equations in periodic domains, highlighting the significance of symmetry in understanding fluid motion.
Symmetries of Dynamical EquationsExplores symmetries in dynamical equations, emphasizing their restoration at high Reynolds numbers and their impact on fluid dynamics.
Advanced Physics ICovers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.
Global Conservation LawsExplores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.
Turbulence: Decaying PhenomenaExplores the interpretation and decay of turbulence, dissipation scales, and the restoration of symmetries in fluid dynamics.
Symmetry: Noether TheoremExplores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.
Turbulence: Numerical Flow SimulationExplores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.
Poiseuille & ResistanceExplores Poiseuille's law, pressure-velocity relation, wall shear stress, resistances, Bernoulli's equation, and turbulence in fluid dynamics.