Astrophysical Fluid Dynamics 

A Brief Overview of Topics

1. Fluids in the universe 

2. Mathematical preliminaries

3. Ideal fluids

4. Basic conservations laws and equations of fluid dynamics

5. Thermodynamics of fluids

6. Transport processes 

7. Turbulence

8. Waves

9. Instabilities 

10. Chaos

11. Modeling of fluid phenomena

12. Applications of fluid dynamics to space physics and astrophysics

What is Dynamics?

 The branch of mechanics that studies the effects of forces on the motion of a body or system of bodies.

Applications of Astrophysical Fluid Dynamics

1. Instabilities in astrophysical fluids 

2. Convection 

3. Differential rotation and meridional flows in stars 

4. Stellar oscillations driven by convection, instabilities or tidal forcing

5. Astrophysical dynamos 

6. Magnetospheres of stars, planets and black hole

7. Interacting binary stars and Roche-lobe overflow

8. Tidal disruption and stellar collisions

9. Supernovae

10. Planetary nebulae

11. Jets and winds from stars and discs

12. Star formation and the physics of the interstellar medium 

13. Astrophysical discs, including protoplanetary discs, accretion discs in interacting binary stars and galactic nuclei, planetary rings, etc. 

14. Other accretion flows (Bondi, Bondi–Hoyle, etc.) 

15. Processes related to planet formation and planet–disc interactions

16. Planetary atmospheric dynamics (Atmopsheric wave, e.g., gravity wave, tides, planetary waves, Kelvin waves)

17. Galaxy clusters and the physics of the intergalactic medium

18. Cosmology and structure formation

Recommended books

The lecture notes will be self-contained, but the following books could be helpful

1. Carswell, Principles of Astrophysical Fluid dynamics (primary)

2. Kato, Fundamentals of astrophysical fluid dynamics

3. Batchelor, Introduction to fluid dynamics

4. Paterson, First course in fluid dynamics

Of course there are other good books and sources that are useful. 

Eddies and turbulence