Learning

Fluid Dynamics in Astrophysics: Accretion, Outflows, and Large-Scale Flows

Vector Calculus and Tensor Notation → Large-Scale Flows and Galaxy Dynamics

This advanced graduate-level path builds a rigorous foundation in fluid dynamics and magnetohydrodynamics (MHD), then applies these concepts to astrophysical phenomena such as accretion disks, jets, and large-scale flows. Starting with mathematical prerequisites and the fundamental equations, learners progress through instabilities, shock waves, and MHD, culminating in the theory of accretion and outflows. The path emphasizes the physical reasoning and mathematical techniques essential for research in astrophysical fluid dynamics.