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PHYS 7810
Spring 2024
Hydrodynamics
Course Information:
Lectures: TTh 3:30 PM - 4:45 PM, Duane G131
Syllabus
, including
general university policies
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:
Homework 1
(due February 6)
Homework 2
(due February 20)
Homework 3
(due March 5)
Homework 4
(due March 19)
Homework 5
(due April 16)
Homework 6
(due April 30)