Fundamental Topics in Relativistic Fluid Mechanics and Magnetohydrodynamics
Author: Robert Harry Wasserman
Publisher:
Published: 1963
Total Pages: 260
ISBN-13:
DOWNLOAD EBOOK →Author: Robert Harry Wasserman
Publisher:
Published: 1963
Total Pages: 260
ISBN-13:
DOWNLOAD EBOOK →Author: Roger J. Hosking
Publisher: Springer
Published: 2015-10-19
Total Pages: 288
ISBN-13: 9812876006
DOWNLOAD EBOOK →This book is primarily intended to enable postgraduate research students to enhance their understanding and expertise in Fluid Mechanics and Magnetohydrodynamics (MHD), subjects no longer treated in isolation. The exercises throughout the book often serve to provide additional and quite significant knowledge or to develop selected mathematical skills, and may also fill in certain details or enhance readers’ understanding of essential concepts. A previous background or some preliminary reading in either of the two core subjects would be advantageous, and prior knowledge of multivariate calculus and differential equations is expected.
Author: Robert Harry Wasserman
Publisher:
Published: 1963
Total Pages: 264
ISBN-13:
DOWNLOAD EBOOK →Author: A. M. Anile
Publisher: Cambridge University Press
Published: 1990-02-23
Total Pages: 352
ISBN-13: 9780521304061
DOWNLOAD EBOOK →A unified and systematic treatment of the main results and techniques of relativistic fluid dynamics with an emphasis on waves and shock waves. The first four chapters provide an introduction to the fundamental principles of relativistic fluid dynamics and magneto-fluids. The remaining chapters present specific topics, including non-linear electromagnetic waves in relativistic cold plasmas, relativistic asymptotic waves, and relativistic shock waves. Examples of the applications of the theory to plasma physics, nuclear physics and astrophysics are presented.
Author: A. M. Anile
Publisher: Cambridge University Press
Published: 2005-12-15
Total Pages: 352
ISBN-13: 9780521018128
DOWNLOAD EBOOK →A unified and systematic treatment of the main results and techniques of relativistic fluid dynamics with an emphasis on waves and shock waves. The first four chapters provide an introduction to the fundamental principles of relativistic fluid dynamics and magneto-fluids. The remaining chapters present specific topics, including non-linear electromagnetic waves in relativistic cold plasmas, relativistic asymptotic waves, and relativistic shock waves. Examples of the applications of the theory to plasma physics, nuclear physics and astrophysics are presented.
Author: Gary Webb
Publisher: Springer
Published: 2018-02-05
Total Pages: 301
ISBN-13: 3319725114
DOWNLOAD EBOOK →This text focuses on conservation laws in magnetohydrodynamics, gasdynamics and hydrodynamics. A grasp of new conservation laws is essential in fusion and space plasmas, as well as in geophysical fluid dynamics; they can be used to test numerical codes, or to reveal new aspects of the underlying physics, e.g., by identifying the time history of the fluid elements as an important key to understanding fluid vorticity or in investigating the stability of steady flows. The ten Galilean Lie point symmetries of the fundamental action discussed in this book give rise to the conservation of energy, momentum, angular momentum and center of mass conservation laws via Noether’s first theorem. The advected invariants are related to fluid relabeling symmetries – so-called diffeomorphisms associated with the Lagrangian map – and are obtained by applying the Euler-Poincare approach to Noether’s second theorem. The book discusses several variants of helicity including kinetic helicity, cross helicity, magnetic helicity, Ertels’ theorem and potential vorticity, the Hollman invariant, and the Godbillon Vey invariant. The book develops the non-canonical Hamiltonian approach to MHD using the non-canonical Poisson bracket, while also refining the multisymplectic approach to ideal MHD and obtaining novel nonlocal conservation laws. It also briefly discusses Anco and Bluman’s direct method for deriving conservation laws. A range of examples is used to illustrate topological invariants in MHD and fluid dynamics, including the Hopf invariant, the Calugareanu invariant, the Taylor magnetic helicity reconnection hypothesis for magnetic fields in highly conducting plasmas, and the magnetic helicity of Alfvén simple waves, MHD topological solitons, and the Parker Archimedean spiral magnetic field. The Lagrangian map is used to obtain a class of solutions for incompressible MHD. The Aharonov-Bohm interpretation of magnetic helicity and cross helicity is discussed. In closing, examples of magnetosonic N-waves are used to illustrate the role of the wave number and group velocity concepts for MHD waves. This self-contained and pedagogical guide to the fundamentals will benefit postgraduate-level newcomers and seasoned researchers alike.
Author: David MacTaggart
Publisher: Springer
Published: 2019-07-19
Total Pages: 265
ISBN-13: 3030163431
DOWNLOAD EBOOK →The book presents an advanced but accessible overview of some of the most important sub-branches of magnetohydrodynamics (MHD): stability theory, magnetic topology, relaxation theory and magnetic reconnection. Although each of these subjects is often treated separately, in practical MHD applications they are normally inseparable. MHD is a highly active field of research.The book is written for advanced undergraduates, postgraduates and researchers working on MHD-related research in plasma physics and fluid dynamics.
Author: Shoji Kato
Publisher: Springer Nature
Published: 2020-06-19
Total Pages: 635
ISBN-13: 9811541744
DOWNLOAD EBOOK →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.