## ASTM112 ASTROPHYSICAL FLUID DYNAMICS

J. Thompson, S. V. Vorontsov

Astronomy Unit, School of Mathematical Sciences, Queen Mary & Westfield College, Mile End Road, London E1 4NS

**Contents**

Lecture 1 Basic fluid equations

- 1.1 The material derivative
- 1.2 The continuity equation
- 1.3 The momentum equation
- 1.4 Newtonian gravity
- 1.5 The mechanical and thermal energy equations
- 1.6 Adiabatic approximation. Ideal gases

Lecture 2 Simple models of astrophysical fluids and their motions

- 2.1 Hydrostatic equilibrium for a self-gravitating body
- 2.2 Small perturbations about equilibrium
- 2.3 Lagrangian perturbations
- 2.4 Sound waves
- 2.5 Surface gravity waves

Lecture 3 Jeans instability and star formation. Spherically symmetric accretion and stellar winds

- 3.1 Jeans instability
- 3.2 Bernoulli's theorem
- 3.3 The de Laval nozzle
- 3.4 The Bondi problem
- 3.5 The Parker solar-wind solution

Lecture 4 Theory of rotating bodies

- 4.1 Equilibrium equations for a slowly rotating body
- 4.2 Binary stars
- 4.3 Dynamics of rotating stellar models

Lecture 5 Radial oscillations of stars

- 5.1 Linear adiabatic wave equations for radial oscillations
- 5.2 Boundary conditions5.3 Eigenvalue nature of the problem
- 5.4 Local dispersion relation and mode classification
- 5.5 Non-adiabatic oscillations: physical discussion of driving and damping

Lecture 6 Linear adiabatic nonradial oscillations. Helioseismology

- 6.1 Nonradial modes of oscillations of a star
- 6.2 Linear adiabatic wave equations in Cowling approximation
- 6.3 Boundary conditions
- 6.4 Mode classification in degree l
- 6.5 Local dispersion relation. Mode classification in radial order n
- 6.6 Inversion of the sound speed in solar interior

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