PHYS 7810

Spring 2026

Hydrodynamics

Course Information:

• Lectures: TTh 3:30 PM - 4:45 PM, Duane G1B25
• Syllabus, including general university policies

Lectures:

• Lecture 1 (January 8): Stochastic differential equations
• Lecture 2 (January 13): Fokker-Planck equation
• Lecture 3 (January 15): Time-reversal symmetry
• Lecture 4 (January 20): MSR Lagrangian
• Lecture 5 (January 22): Diffusion
• Lecture 6 (January 27): Quasihydrodynamics and correlation functions
• Lecture 7 (January 29): Navier-Stokes equations
• Lecture 8 (February 3): Galilean invariance
• Lecture 9 (February 5): Shock and rarefaction waves
• Lecture 10 (February 10): Incompressible inviscid flows
• Lecture 11 (February 12): Vortex dynamics
• Lecture 12 (February 17): Incompressible viscous flows
• Lecture 13 (February 19): Boundary layers
• Lecture 14 (February 24): Instabilities of viscous flows
• Lecture 15 (March 3): Turbulence
• Lecture 16 (March 5): Surface tension and gravity waves
• Lecture 17 (March 10): Atmospheric fluid flows
• Lecture 18 (March 12): Convection
• Lecture 19 (March 24): Fluids with modified spacetime symmetries
• Lecture 20 (March 26): BBGKY hierarchy
• Lecture 21 (March 31): Boltzmann equation
• Lecture 22 (April 2): Hydrodynamics from kinetic theory

Homework:

• Homework 1 (due January 27)
• Homework 2 (due February 10)
• Homework 3 (due March 3)
• Homework 4 (due March 24)
• Homework 5 (due April 7)