Victor Yudovich's courses:

Fluid Mechanics 2002:

Lectures 1-2: Lagrangian mechanics, constraints, fluids
Lecture 3: the Euler equation, Lagrangian multipliers, curvature operator
Lecture 4: curvature, Jacobi equation
Lecture 5: curvature for diffeomorphism groups
Lecture 6: rigid and free boundary conditions
Lecture 7: existence probblems from finite-dimensional approximations, uniqueness
Lecture 8: uniqueness problems for fluids in any dimensions


Fluid Mechanics 2003:

Lecture 1: Euler-Lagrange equations, Hamilton principle
Lecture 2: constraints, nonextensible threads
Lecture 3: dynamics of threads
Lecture 4: curvature of the space of threads, its positivity
Lecture 5: derivation of the string equation
Lecture 6: boundary conditions for strings and fluids
Lecture 7: curvature computations for fluids, examples
Lecture 8: exponential and polynomial Lagrangian instability
Lecture 9: symmetries, 3D stationary flows
Lecture 10: the Noether theorem, cosymmetry