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Author : Oleg Igorevich Bogoi͡avlenskiĭ
Publisher : Springer
Page : 328 pages
File Size : 52,7 Mb
Release : 1985
Category : Mathematics
ISBN : UOM:39015017167019
Author : O.I. Bogoyavlensky
Publisher : Springer
Page : 0 pages
File Size : 40,6 Mb
Release : 1985
Category : Mathematics
ISBN : 3642616615
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.
Author : A.A. Coley
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 50,6 Mb
Release : 2003-10-31
Category : Science
ISBN : 1402014031
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.
Author : Iván Area,Alberto Cabada,José Ángel Cid,Daniel Franco,Eduardo Liz,Rodrigo López Pouso,Rosana Rodríguez-López
Publisher : Springer Nature
Page : 295 pages
File Size : 46,5 Mb
Release : 2019-09-19
Category : Mathematics
ISBN : 9783030269876
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.
Author : Stephen Paul Braham,Jack David Gegenberg,Robert James McKellar
Publisher : American Mathematical Soc.
Page : 400 pages
File Size : 44,7 Mb
Release : 2024-06-28
Category : Science
ISBN : 082188588X
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. 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 discusses * Invited talks given by researchers known for their ability to communicate their expertise
Author : Sanchez Normalized
Publisher : World Scientific
Page : 820 pages
File Size : 50,8 Mb
Release : 1992-11-20
Category : Electronic
ISBN : 9789814554114
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.
Author : Spiros Cotsakis,Eleftherios Papantonopoulos
Publisher : Springer
Page : 480 pages
File Size : 43,6 Mb
Release : 2008-01-11
Category : Science
ISBN : 9783540480259
This book has grown out of lectures held at a summer school on cosmology, in response to an ever increasing need for an advanced textbook that addresses the needs of both postgraduate students and nonspecialist researchers from various disciplines ranging from mathematical physics to observational astrophysics. Bridging the gap between standard textbook material in cosmology and the forefront of research, this book also constitutes a modern source of reference for the experienced researcher in classical and quantum cosmology.
Author : N. Sánchez,A. Zichichi,V. de Sabbata
Publisher : Springer Science & Business Media
Page : 232 pages
File Size : 49,5 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781489906205
Peter Gabriel Bergmann started his work on general relativity in 1936 when he moved from Prague to the Institute for Advanced Study in Princeton. Bergmann collaborated with Einstein in an attempt to provide a geometrical unified field theory of gravitation and electromagnetism. Within this program they wrote two articles together: A. Einstein and P. G. Bergmann, Ann. Math. 39, 685 (1938) ; and A. Einstein, V. Bargmann and P. G. Bergmann, Th. von Karman Anniversary Volume 212 (1941). The search for such a theory was intense in the ten years following the birth of general relativity. In recent years, some of the geometrical ideas proposed in these publications have proved essential in contemporary attempts towards the unification of all interactions including gravity, Kaluza-Klein type theories and supergravity theories. In 1942, Bergmann published the book "Introduction to the Theory of Relativity" which included a foreword by Albert Einstein. This book is a reference for the subject, either as a textbook for classroom use or for individual study. A second corrected and enlarged edition of the book was published in 1976. Einstein said in his foreword to the first edition: "Bergmann's book seems to me to satisfy a definite need. . . Much effort has gone into making this book logically and pedagogically satisfactory and Bergmann has spent many hours with me which were devoted to this end.
Author : Prof. Dr. Roland Wielen,S. Böhme,U. Esser,H. Hefele,Inge Heinrich,W. Hofmann,D. Krahn,V. R. Matas,Dr. Lutz D. Schmadel,G. Zech
Publisher : Springer Science & Business Media
Page : 1122 pages
File Size : 52,7 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662123553
Author : L. D. Faddeev
Publisher : American Mathematical Soc.
Page : 336 pages
File Size : 40,5 Mb
Release : 1988
Category : Mathematics
ISBN : 0821831208
A collection of survey papers on the 50th anniversary of the institute.
Author : Sandra Pinelas,Tomás Caraballo,Peter Kloeden,John R. Graef
Publisher : Springer
Page : 662 pages
File Size : 43,5 Mb
Release : 2018-05-08
Category : Mathematics
ISBN : 9783319756479
This book gathers papers from the International Conference on Differential & Difference Equations and Applications 2017 (ICDDEA 2017), held in Lisbon, Portugal on June 5-9, 2017. The editors have compiled the strongest research presented at the conference, providing readers with valuable insights into new trends in the field, as well as applications and high-level survey results. The goal of the ICDDEA was to promote fruitful collaborations between researchers in the fields of differential and difference equations. All areas of differential and difference equations are represented, with a special emphasis on applications.
Author : Сергей Петрович Новиков,Искандер Асанович Тайманов
Publisher : American Mathematical Soc.
Page : 658 pages
File Size : 41,7 Mb
Release : 2006
Category : Diffentiable manifolds
ISBN : 9780821839294
Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications.
Author : Jacques Henrard,Sylvio Ferraz-Mello
Publisher : Springer Science & Business Media
Page : 468 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401145275
Modem dynamics is increasingly participating in the solution of problems raised by as tronomical observations. This new relationship is being fostered on one side by the im provements in the observations, which in recent years contributed several discoveries of new systems, such as the objects in the Kuiper belt, the pulsar and star companions, to speak only of the most striking ones, and, on the other hand, by the progresses in modem dynamics. The progresses in modem dynamics are due to two factors: the dissemination of fast computers, allowing the numerical studies of very complex systems by a large number of scientists, and the improvement in our understanding of the complex behaviour of Hamiltonian systems. KAM and Nekhorochev theories have shed a light on the subtle and surprizing interplays between regular and chaotic motions; numerical experiments and analytical approximations have shown how these peculiarities are indeed present in astronomically important systems and are instrumental in understanding their formation and evolution.
Author : Mark J. Gotay,Jerrold E. Marsden,Vincent Moncrief
Publisher : American Mathematical Soc.
Page : 644 pages
File Size : 51,9 Mb
Release : 1992
Category : Science
ISBN : 9780821851449
Classical field theory has undergone a renaissance in recent years. Symplectic techniques have yielded deep insights into its foundations, as has an improved understanding of the variational calculus. Further impetus for the study of classical fields has come from other areas, such as integrable systems, Poisson geometry, global analysis, and quantum theory. This book contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Mathematical Aspects of Classical Field Theory, held in July 1991 at the University of Washington at Seattle. The conference brought together researchers in many of the main areas of classical field theory to present the latest ideas and results. The volume contains thirty refereed papers, both survey and research articles, and is designed to reflect the state of the art as well as chart the future course of the subject.
Author : Bernard Pullman
Publisher : Princeton University Press
Page : 498 pages
File Size : 49,7 Mb
Release : 1996
Category : Mathematics
ISBN : 0691012385
In this volume, some of the world's leading scientists discuss the role of complexity across all the scientific disciplines. Opinions differ: for some, complexity holds the key to a deeper and fuller understanding of the world; to others, it is merely a modern version of the philsophers' stone.
