Fundamentals of Astrophysical Fluid Dynamics: Hydrodynamics, Magnetohydrodynamics, and Radiation Hydrodynamics (Astronomy and Astrophysics Library)

This book offers an overview of the fundamental dynamical processes, which are necessary to understand astrophysical phenomena, from the viewpoint of hydrodynamics, magnetohydrodynamics, and radiation hydrodynamics. The book consists of three parts: The first discusses the fundamentals of hydrodynamics necessary to understand the dynamics of astrophysical objects such as stars, interstellar gases and accretion disks. The second part reviews the interactions between gases and magnetic fields on fluid motions – the magnetohydrodynamics – highlighting the important role of magnetic fields in dynamical phenomena under astrophysical environments. The third part focuses on radiation hydrodynamics, introducing the hydrodynamic phenomena characterized by the coupling of radiation and gas motions and further on relativistic radiation hydrodynamics. Intended as a pedagogical introduction for advanced undergraduate and graduate students, it also provides comprehensive coverage of the fundamentals of astrophysical fluid dynamics, making it an effective resource not only for graduate courses, but also for beginners wanting to learn about hydrodynamics, magnetohydrodynamics, and radiation hydrodynamics in astrophysics independently. Front Matter ....Pages i-xxiv Introduction (Shoji Kato, Jun Fukue)....Pages 1-13 Front Matter ....Pages 15-15 Basic Equations for Hydrodynamics (Shoji Kato, Jun Fukue)....Pages 17-31 Astrophysical Fluid Flows (Shoji Kato, Jun Fukue)....Pages 33-57 Wave Phenomena in Astrophysical Objects (Shoji Kato, Jun Fukue)....Pages 59-99 Convection and Related Topics (Shoji Kato, Jun Fukue)....Pages 101-118 Dynamical Instability and Dynamical Excitation of Oscillations (Shoji Kato, Jun Fukue)....Pages 119-163 Instabilities Due to Dissipative Processes I (Secular Instability) (Shoji Kato, Jun Fukue)....Pages 165-194 Overstability Due to Dissipative Processes II: Excitation of Oscillations (Shoji Kato, Jun Fukue)....Pages 195-212 General Relativistic Hydrodynamics (Shoji Kato, Jun Fukue)....Pages 213-237 Front Matter ....Pages 239-239 Derivation of Magnetohydrodynamical Equations from Boltzmann Equation (Shoji Kato, Jun Fukue)....Pages 241-250 MHD Equations and Basic Characteristics of Magnetic Fields (Shoji Kato, Jun Fukue)....Pages 251-266 Astrophysical MHD Flows (Shoji Kato, Jun Fukue)....Pages 267-278 Waves and Shocks in Magnetohydrodynamical Fluids (Shoji Kato, Jun Fukue)....Pages 279-294 Astrophysical Dynamo (Shoji Kato, Jun Fukue)....Pages 295-312 General Stability Theorem for MHD Systems (Shoji Kato, Jun Fukue)....Pages 313-326 Instabilities Related to Magnetic Fields (Shoji Kato, Jun Fukue)....Pages 327-353 Important Non-Ideal MHD Processes (Shoji Kato, Jun Fukue)....Pages 355-366 Relativistic Magnetohydrodynamics (Shoji Kato, Jun Fukue)....Pages 367-378 Front Matter ....Pages 379-379 Basic Concepts of Radiative Fluids (Shoji Kato, Jun Fukue)....Pages 381-401 Basic Equations for Radiative Transfer (Shoji Kato, Jun Fukue)....Pages 403-431 Basic Equations for Radiation Hydrodynamics (Shoji Kato, Jun Fukue)....Pages 433-443 Astrophysical RHD Flows (Shoji Kato, Jun Fukue)....Pages 445-476 Wave and Instability in Radiative Fluids (Shoji Kato, Jun Fukue)....Pages 477-510 Relativistic Radiative Transfer (Shoji Kato, Jun Fukue)....Pages 511-534 Relativistic Radiation Hydrodynamics (Shoji Kato, Jun Fukue)....Pages 535-568 General Relativistic Radiation Hydrodynamics (Shoji Kato, Jun Fukue)....Pages 569-588 Back Matter ....Pages 589-625