## Advanced Fluid Mechanics

### Miscellaneous rough lecture notes. All of this material is adapted from (and often expands on) other sources. In particular, several of these sets of notes are expanded versions of homework solutions and notes originally developed by Professor Stephen Morris at the University of California at Berkeley. The other major source is Drazin & Reid’s Hydrodynamic Stability. The plasma material is an amalgam from several sources, including Hughes’ MHD book.

### I) Plasma Physics Primer Part I (many typos)

II) Plasma Physics Primer Part II (many typos)

IV) Nonlinear Capillary Instability Pt. I (short overview of nonlinear dynamics/bifurcation theory)

V) Nonlinear Capillary Instability Pt. II (continues Part I – fluid collars & lenses)

VII) Rayleigh-Benard Stability Problem (classic thermal stability problem)

IX) Linear and Nonlinear Hydrodynamic Stability (primer/overview)

X) Capillary Instability of a Jet (example linear stability problem)

XI) Green’s Function in Low Reynolds Number Flow (short overview)