Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics (Springer Series in Soviet Mathematics) - Hardcover
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Homogeneous cosmological models, self-similar motion of self-gravitating gas and motion of gas with homogeneous deformation have important applica tions in the theory of evolution of the universe. In particular they can be applied to the theory of explosions of stars, formation of galaxies, pulsation of alternating stars etc. The equations of general relativity and Newtonian gas dynamics in the cases mentioned above are reduced to systems of a finite (but quite large) number of ordinary differential equations. In the last two decades these multi-dimensional dynamical systems were and still are being analyzed by means of traditional analytic and numerical methods. Important dynamical modes of some solutions were thus established. These include oscillatory modes of the space-time metric near a cosmological singularity, self-similar motion of self-gravitating gas with a shock wave and an expanding cavity inside (as in an explosion of a star), collapse of an ellipsoid of self-gravitating dust into a disc and others. However the multi dimensional dynamical systems in question are so complex, that a complete analysis of all dynamical modes of the solutions by means of well-known tra ditional analytic methods does not seem feasible. Therefore the development of effective methods of qualitative analysis of multi-dimensional dynamical systems and their application to the problems of astrophysics and gas dynamics previ ously unsolved by traditional methods becomes especially urgent.
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Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics (Springer Series in Soviet Mathematics) Springer-Verlag, Berlin / Heidelberg, 1985. First English Edition.
Verlag:
Springer-Verlag, Berlin, Heidelburg, New York, 1985
ISBN 10: 3540136142
ISBN 13: 9783540136149
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Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics Springer Series in Soviet Mathematics Springer-Verlag A scholarly volume from the Springer Series in Soviet Mathematics, titled Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics. This work was translated from the Russian by Dmitry Gokhman and includes 40 figures illustrating the mathematical concepts discussed throughout the text. Published by Springer-Verlag, the book reflects the important contributions of Soviet mathematicians and physicists to the study of nonlinear dynamics, astrophysical processes, and gas dynamics during the twentieth century. The book explores analytical and qualitative methods used to study dynamical systems arising in astrophysics and fluid dynamics. Works in this series helped introduce significant Soviet research to the Western scientific community and remain valued references for researchers, students, and collectors interested in applied mathematics, dynamical systems, and the history of theoretical physics. The book is in very good condition overall. The yellow cover shows some normal signs of age along with a few stains, but it remains solid and presentable. The spine is clean and clearly printed with no fading. The edges are sharp with no bumping noted. A small label on the front end paper lists the former owners name and address. The interior pages are clean and free of writing, markings, or highlighting, and there is no foxing present. The binding is tight and the book remains structurally sound. A solid and well-preserved copy of a specialized scientific text from the respected Springer series, suitable for collectors of mathematical physics, dynamical systems, and Soviet-era scientific publications. (BR) Shelf 335. Artikel-Nr. ABE-1773351226517
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