Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics (Springer Series in Soviet Mathematics) - Softcover

Bogoyavlensky, O.I. I.

 
9783642649028: Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics (Springer Series in Soviet Mathematics)
Softcover
ISBN 10: 3642649025 ISBN 13: 9783642649028
Verlag: Springer, 2011

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
3642649025
ISBN 13 
9783642649028
Einband
Taschenbuch
Anzahl der Seiten
316
Kontakt zum Hersteller
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Deutschland

Weitere beliebte Ausgaben desselben Titels

9780387136141: Methods in the Qualitative Theory of Dynamical Systems in Astrophysics and Gas Dynamics (Springer Series in Soviet Mathematics)

Vorgestellte Ausgabe

ISBN 10:  0387136142 ISBN 13:  9780387136141
Hardcover