Lecture Notes | James R. Beattie

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Here you can find my lecture notes as PDFs. Each card links to a full-page reader with a download button.

Fluid Theory, Turbulence, and Dynamos in Magnetized Plasmas

Graduate-level notes from the 2026 SCEECS summer school on fluid and MHD theory, waves and instabilities, turbulence, and fluid dynamos.

Aug 5, 2026 • Institute of Astronomy, UNAM, Baja California, Mexico

Contents Fluid theory, waves, and instabilities. Conservation laws for magnetized fluids. Ideal-MHD waves and their restoring forces. Rayleigh-Taylor instability. Hydrodynamic … ... Read more

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Magnetic dynamos

CITA Blackboard lecture on the induction equation, kinematic small-scale dynamos, and mean-field large-scale dynamo theory.

Mar 30, 2026

Contents Magnetic dynamos. Goals for this lecture. The induction equation. Small-scale dynamo (kinematic only). Magnetic energy spectrum evolution. The Kazantsev (1968) k^(3/2) … ... Read more

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Kinetic to Viscous Fluid Model via First-Order Chapman-Enskog Expansion

From BGK-Boltzmann kinetics to viscous fluid closures via Chapman-Enskog.

Feb 8, 2026

Contents Boltzmann equation and the BGK collision operator. Zeroth-moment (mass conservation). First-moment (momentum conservation). Second-moment (energy conservation). … ... Read more

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Fluid moments and linear waves in ideal magnetohydrodynamics

Graduate lecture on fluid moments from the Boltzmann equation and ideal, linear MHD waves.

Feb 7, 2026

Contents Lecture goals. Boltzmann equation for a monoatomic gas. Zeroth-moment (mass conservation). First-moment (momentum conservation). Second-moment (energy conservation). … ... Read more

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