Contents

• Introduction
  • Interstellar Matter
  • Case Study -- Taurus Molecular Clouds
  • T Tauri Stars
  • Spectral Energy Distribution (SED)
  • Protostars
    • B335
    • L1551 IRS 5
  • L 1544: Pre-protostellar Cores
  • Rotation of Outflow
  • Magnetic Fields
    • Prestellar Core
    • Cores with Protostars
    • Magnetic Field $\sim$1000AU Scale
  • Density Distribution
  • Mass Spectrum
  • Line Width - Size Relation
  
  
• Physical Background
  • Basic Equations of Hydrodynamics
  • The Poisson Equation of the Self-Gravity
  • Free-fall Time
    • Accretion Rate
  • Gravitational Instability
    • Linear Analysis
    • Sound Wave
  • Jeans Instability
  • Gravitational Instability of Thin Disk
    • Rotating Disk
  • Convective Instability
  • Super- and Subsonic Flow
    • Flow in the Laval Nozzle
    • Steady State Flow under an Influence of External Fields
    • Stellar Wind -- Parker Wind Theory
  • Virial Analysis
  • Radiative Transfer
    • Radiative Transfer Equation
    • Einstein's Coefficients
    • Relation of Einstein's Coefficients to Absorption and Emissivity
    • Critical Density
  
  
• Galactic Scale Star Formation
  • Schmidt Law
    • Global Star Formation
    • Local Star Formation Rate
  • Distributions of Atomic and Molecular Hydrogen
  • Gravitational Instability of Rotating Thin Disk
    • Tightly Wound Spirals
    • Toomre's $Q$ Value
  • Spiral Structure
  • Density Wave Theory
    • Group Velocity
  • Galactic Shock
  
  
• Local Star Formation Process
  • Hydrostatic Balance
    • Bonnor-Ebert Mass
    • Equilibria of Cylindrical Cloud
  • Virial Analysis
    • Magnatohydrostatic Clouds
  • Subcritical Cloud vs Supercritical Cloud
    • Observation of Magnetic Field Strength
    • Observation of Mass-to-Flux Ratio
  • Ambipolar Diffusion
    • Ionization Rate
    • Ambipolar Diffusion
  • Dynamical Collapse
    • Inside-out Collapse Solution
    • Protostellar Evolution of Supercritical Clouds
  • Star Formation Time Scale
  • Accretion Rate
  • Outflow
    • Magneto-driven Model
    • Entrainment Model
  • Evolution to Star
  • Example of Numerical Simulation
  • Evolution in the H-R diagram
    • Main Accretion Phase
    • Premain-sequence Evolution
  
  
• Bibliography
• Basic Equation of Fluid Dynamics
  • What is fluid?
  • Equation of Motion
  • Lagrangian and Euler Equations
  • Continuity Equation
    • Expression for Momentum Density
  • Energy Equation
    • Polytropic Relation
    • Energy Equation from the First Law of Theromodynamics
  • Shock Wave
    • Rankine-Hugoniot Relation
  
  
• Basic Equations of Magnetohydrodynamics
  • Magnetohydrodynamics
    • Flux Freezing
    • Basic Equations of Ideal MHD
    • Axisymmetric Case
  
  
• Hydrostatic Equilibrium
  • Polytrope
  • Magnetohydrostatic Configuration
  
  
• Basic Equations for Radiative Hydrodynamics
  • Radiative Hydrodynamics
  
  
• Random Velocity