ISBN: 9780792346968
ID: 48bd29053310ab8442b8a2ccab4da6fa
Many Particle Dynamics and Kinetic Equations As our title suggests, there are two aspects in the subject of this book. The first is the mathematical investigation of the dynamics of infinite systems of in teracting particles and the description of the time evolution of their states. The second is the rigorous derivation of kinetic equations starting from the results of the aforementioned investigation. As is well known, statistical mechanics started in the last century with some papers written by Maxwell and Boltzmann. Although some of their statements seemed statistically obvious, we must prove that they do not contradict what me chanics predicts. In some cases, in particular for equilibrium states, it turns out that mechanics easily provides the required justification. However things are not so easy, if we take a step forward and consider a gas is not in equilibrium, as is, e.g., the case for air around a flying vehicle. Questions of this kind have been asked since the dawn of the kinetic theory of gases, especially when certain results appeared to lead to paradoxical conclu sions. Today this matter is rather well understood and a rigorous kinetic theory is emerging. The importance of these developments stems not only from the need of providing a careful foundation of such a basic physical theory, but also to exhibit a prototype of a mathematical construct central to the theory of non-equilibrium phenomena of macroscopic size. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-7923-4696-8, Springer Verlag GmbH
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Carlo Cercignani#V. I. Gerasimenko#D. YA Petrina:
Many Particle Dynamics and Kinetic Equations - new bookISBN: 9780792346968
ID: 153394803
As our title suggests, there are two aspects in the subject of this book. The first is the mathematical investigation of the dynamics of infinite systems of in teracting particles and the description of the time evolution of their states. The second is the rigorous derivation of kinetic equations starting from the results of the aforementioned investigation. As is well known, statistical mechanics started in the last century with some papers written by Maxwell and Boltzmann. Although some of their statements seemed statistically obvious, we must prove that they do not contradict what me chanics predicts. In some cases, in particular for equilibrium states, it turns out that mechanics easily provides the required justification. However things are not so easy, if we take a step forward and consider a gas is not in equilibrium, as is, e.g., the case for air around a flying vehicle. Questions of this kind have been asked since the dawn of the kinetic theory of gases, especially when certain results appeared to lead to paradoxical conclu sions. Today this matter is rather well understood and a rigorous kinetic theory is emerging. The importance of these developments stems not only from the need of providing a careful foundation of such a basic physical theory, but also to exhibit a prototype of a mathematical construct central to the theory of non-equilibrium phenomena of macroscopic size. Many Particle Dynamics and Kinetic Equations Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer Verlag GmbH
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1997
ISBN: 0792346963
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Hardcover, ID: 9780792346968
Internationaler Buchtitel. In englischer Sprache. Verlag: SPRINGER VERLAG GMBH, 260 Seiten, L=242mm, B=165mm, H=20mm, Gew.=572gr, [GR: 26000 - TB/Mathematik/Naturwissenschaften/Technik/Medizin], [SW: - Science], Gebunden, Klappentext: This book is devoted to the evolution of infinite systems interacting via a short range potential. The Hamilton dynamics is defined through its evolution semigroup and the corresponding Bogolubov-Born-Green-Kirkwood-Yvo n (BBGKY) hierarchy is constructed. The existence of global in time solutions of the BBGKY hierarchy for hard spheres interacting via a short range potential is proved in the Boltzmann-Grad limit and by Bogolubov's and Cohen's methods. Audience: This volume will be of interest to graduate students and researchers whose work involves mathematical and theoretical physics, functional analysis and probability theory. This book is devoted to the evolution of infinite systems interacting via a short range potential. The Hamilton dynamics is defined through its evolution semigroup and the corresponding Bogolubov-Born-Green-Kirkwood-Yvo n (BBGKY) hierarchy is constructed. The existence of global in time solutions of the BBGKY hierarchy for hard spheres interacting via a short range potential is proved in the Boltzmann-Grad limit and by Bogolubov's and Cohen's methods. Audience: This volume will be of interest to graduate students and researchers whose work involves mathematical and theoretical physics, functional analysis and probability theory.
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ISBN: 9780792346968
C. Cercignani, D.Y. Petrina, Viktor Gerasimenko,Hardcover - 1997, Edition: 1,Series: Mathematics and Its Applications (closed) Series 420, English-language edition,Pub by Springer Netherlands Textbooks New Books ~~ Mathematics~~ Mathematical Analysis Many-Particle-Dynamics-and-Kinetic-Equations~~Carlo-Cercignani Springer Netherlands This book is devoted to the evolution of infinite systems interacting via a short range potential. The Hamilton dynamics is defined through its evolution semigroup and the corresponding Bogolubov-Born-Green-Kirkwood-Yvo n (BBGKY) hierarchy is constructed. The existence of global in time solutions of the BBGKY hierarchy for hard spheres interacting via a short range potential is proved in the Boltzmann-Grad limit and by Bogolubov's and Cohen's methods. Audience: This volume will be of interest to graduate students and researchers whose work involves mathematical and theoretical physics, functional analysis and probability theory.
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ISBN: 9780792346968
Hardback, [PU: Kluwer Academic Publishers], Devoted to the evolution of infinite systems interacting via a short range potential, this volume is of interest to graduate students and researchers whose work involves mathematical and theoretical physics, functional analysis and probability theory., Maths For Scientists
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Title: | Many Particle Dynamics and Kinetic Equations |
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Details of the book - Many Particle Dynamics and Kinetic Equations
EAN (ISBN-13): 9780792346968
ISBN (ISBN-10): 0792346963
Hardcover
Paperback
Publishing year: 1997
Publisher: SPRINGER VERLAG GMBH
260 Pages
Weight: 0,572 kg
Language: eng/Englisch
Book in our database since 21.06.2007 19:09:35
Book found last time on 17.02.2016 22:18:53
ISBN/EAN: 0792346963
ISBN - alternate spelling:
0-7923-4696-3, 978-0-7923-4696-8
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