Methods In The Qualitative Theory Of Dynamical Systems In Astrophysics And Gas Dynamics
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Methods In The Qualitative Theory Of Dynamical Systems In Astrophysics And Gas Dynamics
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Author : O.I. Bogoyavlensky
language : en
Publisher: Springer
Release Date : 1985-08
Methods In The Qualitative Theory Of Dynamical Systems In Astrophysics And Gas Dynamics written by O.I. Bogoyavlensky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-08 with Mathematics categories.
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.
Methods In The Qualitative Theory Of Dynamical Systems In Astrophysics And Gas Dynamics
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Author : O.I. Bogoyavlensky
language : en
Publisher: Springer
Release Date : 1985
Methods In The Qualitative Theory Of Dynamical Systems In Astrophysics And Gas Dynamics written by O.I. Bogoyavlensky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
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.
Methods In The Qualitative Theory Of Dynamical Systems In Astrophysics And Gas Dynamics
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Author : Oleg Igorevich Bogoi︠a︡vlenskiĭ
language : en
Publisher: Springer
Release Date : 1985
Methods In The Qualitative Theory Of Dynamical Systems In Astrophysics And Gas Dynamics written by Oleg Igorevich Bogoi︠a︡vlenskiĭ and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Dynamical Systems And Cosmology
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Author : A.A. Coley
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-31
Dynamical Systems And Cosmology written by A.A. Coley and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-31 with Science categories.
Dynamical systems theory is especially well-suited for determining the possible asymptotic states (at both early and late times) of cosmological models, particularly when the governing equations are a finite system of autonomous ordinary differential equations. In this book we discuss cosmological models as dynamical systems, with particular emphasis on applications in the early Universe. We point out the important role of self-similar models. We review the asymptotic properties of spatially homogeneous perfect fluid models in general relativity. We then discuss results concerning scalar field models with an exponential potential (both with and without barotropic matter). Finally, we discuss the dynamical properties of cosmological models derived from the string effective action. This book is a valuable source for all graduate students and professional astronomers who are interested in modern developments in cosmology.
Literature 1986 Part 1
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Author : Prof. Dr. Roland Wielen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Literature 1986 Part 1 written by Prof. Dr. Roland Wielen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
The Sixth Canadian Conference On General Relativity And Relativistic Astrophysics
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Author : Stephen Paul Braham
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
The Sixth Canadian Conference On General Relativity And Relativistic Astrophysics written by Stephen Paul Braham and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Science categories.
This volume is the refereed proceedings of the Sixth Canadian Conference on General Relativity and Relativistic Astrophysics held in May 1995 at the University of New Brunswick. The book includes invited talks and contributed talks and posters including state-of-the-art reviews of many of the most recent important developments in gravitational physics. This book would serve as a good supplement to standard texts on the topic. It features: review articles in key areas - black holes, numerical relativity, etc.; contributions covering most of gravitational physics; useful articles for students who wish to begin exploring the issues discussed; and, invited talks given by researchers known for their ability to communicate their expertise.
Cosmological Crossroads
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Author : Spiros Cotsakis
language : en
Publisher: Springer
Release Date : 2008-01-11
Cosmological Crossroads written by Spiros Cotsakis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-11 with Science categories.
History and Overview -- Is Nature Generic? -- Evolution of Ideas in Modern Cosmology -- Mathematical Cosmology -- Constraints and Evolution in Cosmology -- Cosmological Singularities -- Exact Cosmological Solutions -- to Cosmological Dynamical Systems -- Astrophysical and Observational Cosmology -- The Quest for the Cosmological Parameters -- Modern Cosmological Observations -- Cosmological Perturbations -- Dark Matter: A Particle Theorist's Viewpoint -- Particle and String Cosmology -- An Introduction to Particle Physics -- Quantum Cosmology -- Inflationary Cosmology -- String Cosmology -- Brane Cosmology.
Nonlinear Dynamics And Renormalization Group
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Author : Israel Michael Sigal
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Nonlinear Dynamics And Renormalization Group written by Israel Michael Sigal and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
This book contains the proceedings from the workshop, Nonlinear Dynamics and Renormalization Group, held at the Centre de recherches mathématiques (CRM) in Montréal (Canada), as part of the year-long program devoted to mathematical physics. In the book, active researchers in the fields of nonlinear partial differential equations and renormalization group contribute recent results on topics such as Ginzburg-Landau equations and blow-up of solutions of the nonlinear Schroedinger equations, quantum resonances, and renormalization group analysis in constructive quantum field theory. This volume offers the latest research in the rapidly developing fields of nonlinear equations and renormalization group.
Nonlinear Analysis And Boundary Value Problems
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Author : Iván Area
language : en
Publisher: Springer Nature
Release Date : 2019-09-19
Nonlinear Analysis And Boundary Value Problems written by Iván Area and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-19 with Mathematics categories.
This book is devoted to Prof. Juan J. Nieto, on the occasion of his 60th birthday. Juan José Nieto Roig (born 1958, A Coruña) is a Spanish mathematician, who has been a Professor of Mathematical Analysis at the University of Santiago de Compostela since 1991. His most influential contributions to date are in the area of differential equations. Nieto received his degree in Mathematics from the University of Santiago de Compostela in 1980. He was then awarded a Fulbright scholarship and moved to the University of Texas at Arlington where he worked with Professor V. Lakshmikantham. He received his Ph.D. in Mathematics from the University of Santiago de Compostela in 1983. Nieto's work may be considered to fall within the ambit of differential equations, and his research interests include fractional calculus, fuzzy equations and epidemiological models. He is one of the world’s most cited mathematicians according to Web of Knowledge, and appears in the Thompson Reuters Highly Cited Researchers list. Nieto has also occupied different positions at the University of Santiago de Compostela, such as Dean of Mathematics and Director of the Mathematical Institute. He has also served as an editor for various mathematical journals, and was the editor-in-chief of the journal Nonlinear Analysis: Real World Applications from 2009 to 2012. In 2016, Nieto was admitted as a Fellow of the Royal Galician Academy of Sciences. This book consists of contributions presented at the International Conference on Nonlinear Analysis and Boundary Value Problems, held in Santiago de Compostela, Spain, 4th-7th September 2018. Covering a variety of topics linked to Nieto’s scientific work, ranging from differential, difference and fractional equations to epidemiological models and dynamical systems and their applications, it is primarily intended for researchers involved in nonlinear analysis and boundary value problems in a broad sense.
Current Topics In Astrofundamental Physics 1st Course In The International School Of Astrophysics D Chalonge
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Author : Normalized Sanchez
language : en
Publisher: World Scientific
Release Date : 1992-11-20
Current Topics In Astrofundamental Physics 1st Course In The International School Of Astrophysics D Chalonge written by Normalized Sanchez and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-20 with categories.
This volume provides an updated understanding of the progress and current problems in the interplay between fundamental physics, astrophysics and cosmology.In the last years, the cross section between these fields has been increasing, both at the theoretical and experimental levels: particle physics experiments, astronomical observations, space satellite data. Such interplay has fruitfully influenced research activity setting up Astrofundamental physics.Topics covered in this volume are: early universe, large scale structure of the universe, dark matter problem, cosmic microwave background radiation, gravitational wave astronomy and neutrino astrophysics. The inter-relation between these topics is important and a source of problems at the frontiers of present knowledge and experimental limits. Latest available data are constraining theory and models in these topics. The book reviews achievements, confronts theory and models with observations and provides information on the latest developments and discussions on future prospects.It also includes a section on stellar spectroscopy and spectrophotometry which covers Daniel Chalonge's work as well as present progress and future prospects in these fields.