PHYS 7810

Spring 2024

Hydrodynamics


Course Information:


Lectures:

  • Lecture 1 (January 16): Random walks
  • Lecture 2 (January 18): Stochastic differential equations
  • Lecture 3 (January 18): Time-reversal symmetry
  • Lecture 4 (January 27): MSR Lagrangian
  • Lecture 5 (January 30): Examples of MSR Lagrangians
  • Lecture 6 (February 1): Diffusion
  • Lecture 7 (February 6): Hydrodynamic correlation functions
  • Lecture 8 (February 8): Navier-Stokes equations
  • Lecture 9 (February 13): Fluids with Galilean symmetry
  • Lecture 10 (February 15): Incompressible ideal fluids
  • Lecture 11 (February 20): Shock and rarefaction waves
  • Lecture 12 (February 22): Vortex dynamics
  • Lecture 13 (February 24): Examples of incompressible viscous flows
  • Lecture 14 (February 29): Boundary layers
  • Lecture 15 (March 5): Instability of viscous flows
  • Lecture 16 (March 7): Phenomenology of turbulent flow
  • Lecture 17 (March 12): Surface tension and gravity waves
  • Lecture 18 (March 19): Atmospheric fluid dynamics
  • Lecture 19 (March 21): Hall viscosity
  • Lecture 20 (April 2): Electron hydrodynamics
  • Lecture 21 (April 4): The BBGKY hierarchy
  • Lecture 22 (April 9): The Boltzmann equation
  • Lecture 23 (April 11): Hydrodynamics from kinetic theory
  • Lecture 24 (April 16): Ballistic-to-viscous crossover
  • Lecture 25 (April 18): Superfluids
  • Lecture 26 (April 18): Superfluids with energy and momentum
  • Lecture 27 (April 18): Viscoelastic solids
  • Lecture 28 (April 18): Fracton hydrodynamics
  • Lecture 29 (May 2): Higher-form symmetry

Homework: