Description: The mathematical background to the topic of asymptotic approximation methods for the solution of ordinary and partial differential equations is given first. These methods are then applied to several examples of problems from astrophysical fluid (and magneto-fluid) dynamics. An entire chapter is devoted to each topic and among them are - accretion disk boundary layers, fronts in thermally bistable interstellar medium; ideas from geophysics (shallow water theory) applied to modeling accretion disks; the discovery of transient perturbation growth in accretion disks, a growth than may reasonably give rise to secondary instabilities which, in turn, can be instrumental in driving angular momentum transport in these objects. Finally a critical nonlinear analysis of the magnetic Taylor-Couette-flow is given. It is found that for the latter, the magneto-rotational instability, whose importance for driving accretion disk turbulence had been considered paramount, actually saturates at an amplitude that goes with the magnetic Prandtl number, a fact that would imply that this instability, per- se, cannot cause sufficient angular momentum transport to induce accretion.
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Title: Asymptotic Approximation Methods In Astrophysical Fluid Dynamics
Weight: 291
EAN: 9783639260250
ISBN-10: 9783639260250
Date of Publication: 2010-05
Place of Publication: 2010-05
Book Series: VDM Verlag
Genre: SCIENCE / Physics / General
Narrative Type: N/A
Features: N/A
Intended Audience: N/A
Ex Libris: No
Editor: N/A
Edition: N/A
Pagination: 108
Dimensions: 900x600
Number of Pages: 108 Pages
Language: English
Publication Name: Asymptotic Approximation Methods in Astrophysical Fluid Dynamics
Publisher: Vdm Verlag
Publication Year: 2010
Subject: Physics
Item Height: 229 mm
Item Weight: 168 g
Type: Textbook
Author: Oded Regev, Orkan M Umurhan
Item Width: 152 mm
Format: Paperback
