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Author : Liping Xu
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (1 download)
Download or read book Contribution À L'étude de L'équation de Boltzmann Homogène written by Liping Xu and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fraydoun Rezakhanlou
Publisher : Springer
ISBN 13 : 3540737057
Total Pages : 122 pages
Book Rating : 4.5/5 (47 download)
Download or read book Entropy Methods for the Boltzmann Equation written by Fraydoun Rezakhanlou and published by Springer. This book was released on 2007-12-22 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring updated versions of two research courses held at the Centre Émile Borel in Paris in 2001, this book describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields. It also discusses four conjectures for the kinetic behavior of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these.
Author : S. Friedlander
Publisher : Elsevier
ISBN 13 : 0080532926
Total Pages : 829 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Mathematical Fluid Dynamics written by S. Friedlander and published by Elsevier. This book was released on 2002-07-09 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.
Author : Henri Berestycki
Publisher : Springer Science & Business Media
ISBN 13 : 9781402009723
Total Pages : 554 pages
Book Rating : 4.0/5 (97 download)
Download or read book Nonlinear PDE’s in Condensed Matter and Reactive Flows written by Henri Berestycki and published by Springer Science & Business Media. This book was released on 2002-11-30 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear partial differential equations abound in modern physics. The problems arising in these fields lead to fascinating questions and, at the same time, progress in understanding the mathematical structures is of great importance to the models. Nevertheless, activity in one of the approaches is not always sufficiently in touch with developments in the other field. The book presents the joint efforts of mathematicians and physicists involved in modelling reactive flows, in particular superconductivity and superfluidity. Certain contributions are fundamental to an understanding of such cutting-edge research topics as rotating Bose-Einstein condensates, Kolmogorov-Zakharov solutions for weak turbulence equations, and the propagation of fronts in heterogeneous media.
Author : Lorenzo Pareschi
Publisher : Nova Publishers
ISBN 13 : 9781594545030
Total Pages : 238 pages
Book Rating : 4.5/5 (45 download)
Download or read book Modelling and Numerics of Kinetic Dissipative Systems written by Lorenzo Pareschi and published by Nova Publishers. This book was released on 2006 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is divided into three parts, which contain respectively recent results in the kinetic theory of granular gases, kinetic theory of chemically reacting gases, and numerical methods for kinetic systems. Part I is devoted to theoretical aspects of granular gases. Part II presents recent results on modelling of kinetic systems in which molecules can undergo binary collisions in presence of chemical reactions and/or in presence of quantum effects. Part III contains several contributions related to the construction of suitable numerical methods and simulations for granular gases.
Author : Giacomo Albi
Publisher : Springer Nature
ISBN 13 : 3030671046
Total Pages : 251 pages
Book Rating : 4.0/5 (36 download)
Download or read book Trails in Kinetic Theory written by Giacomo Albi and published by Springer Nature. This book was released on 2021-07-15 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent decades, kinetic theory - originally developed as a field of mathematical physics - has emerged as one of the most prominent fields of modern mathematics. In recent years, there has been an explosion of applications of kinetic theory to other areas of research, such as biology and social sciences. This book collects lecture notes and recent advances in the field of kinetic theory of lecturers and speakers of the School “Trails in Kinetic Theory: Foundational Aspects and Numerical Methods”, hosted at Hausdorff Institute for Mathematics (HIM) of Bonn, Germany, 2019, during the Junior Trimester Program “Kinetic Theory”. Focusing on fundamental questions in both theoretical and numerical aspects, it also presents a broad view of related problems in socioeconomic sciences, pedestrian dynamics and traffic flow management.
Author : M Zuhair Nashed
Publisher : World Scientific
ISBN 13 : 9811259410
Total Pages : 757 pages
Book Rating : 4.8/5 (112 download)
Download or read book Frontiers In Entropy Across The Disciplines - Panorama Of Entropy: Theory, Computation, And Applications written by M Zuhair Nashed and published by World Scientific. This book was released on 2022-08-30 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frontiers in Entropy Across the Disciplines presents a panorama of entropy emphasizing mathematical theory, physical and scientific significance, computational methods, and applications in mathematics, physics, statistics, engineering, biomedical signals, and signal processing.In the last century classical concepts of entropy were introduced in the areas of thermodynamics, information theory, probability theory, statistics, dynamical systems, and ergodic theory. During the past 50 years, dozens of new concepts of entropy have been introduced and studied in many disciplines. This volume captures significant developments in this arena. It features expository, review, and research papers by distinguished mathematicians and scientists from many disciplines. The level of mathematics ranges from intermediate level to research level. Each chapter contains a comprehensive list of references. Topics include entropy and society, entropy and time, Souriau entropy on symplectic model of statistical physics, new definitions of entropy, geometric theory of heat and information, maximum entropy in Bayesian networks, maximum entropy methods, entropy analysis of biomedical signals (review and comparison of methods), spectral entropy and its application to video coding and speech coding, a comprehensive review of 50 years of entropy in dynamics, a comprehensive review on entropy, entropy-like quantities and applications, topological entropy of multimodal maps, entropy production in complex systems, entropy production and convergence to equilibrium, reversibility and irreversibility in entropy, nonequilibrium entropy, index of various entropy, entropy and the greatest blunder ever.
Author : Lorenzo Pareschi
Publisher : Oxford University Press, USA
ISBN 13 : 0199655464
Total Pages : 391 pages
Book Rating : 4.1/5 (996 download)
Download or read book Interacting Multiagent Systems written by Lorenzo Pareschi and published by Oxford University Press, USA. This book was released on 2014 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical modelling of systems constituted by many agents using kinetic theory is a new tool that has proved effective in predicting the emergence of collective behaviours and self-organization. This idea has been applied by the authors to various problems which range from sociology to economics and life sciences.
Author :
Publisher :
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.3/5 (91 download)
Download or read book Rivista Di Matematica Della Università Di Parma written by and published by . This book was released on 2001 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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ISBN 13 :
Total Pages : 608 pages
Book Rating : 4.3/5 (91 download)
Download or read book RAIRO. written by and published by . This book was released on 2000 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacek Banasiak
Publisher : Springer
ISBN 13 : 3319113224
Total Pages : 505 pages
Book Rating : 4.3/5 (191 download)
Download or read book Evolutionary Equations with Applications in Natural Sciences written by Jacek Banasiak and published by Springer. This book was released on 2014-11-07 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and complexity theory. Truly unique features of the book are: the first simultaneous presentation of two complementary approaches to fragmentation and coagulation problems, by weak compactness methods and by using semigroup techniques, comprehensive exposition of probabilistic methods of analysis of long term dynamics of dynamical systems, semigroup analysis of biological problems and cutting edge pattern formation theory. The book will appeal to postgraduate students and researchers specializing in applications of mathematics to problems arising in natural sciences and engineering.
Author : Cédric Villani
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (18 download)
Download or read book Contribution à l'étude mathématique des équations de Boltzmann et de Landau en théorie cinétique des gaz et des plasmas written by Cédric Villani and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nous étudions des équations cinétiques de la forme f/t + v. *#xf = q(f, f), t0, x, r#n, v, r#n, qui décrivent l'évolution d'un gaz ou d'un plasma dans lequel les particules subissent des collisions modélisées par l'opérateur q, dit - de Boltzmann : q(f, f) dv#* d b(v v#*,) (f'f'#* ff#*), - ou de Landau : q(f, f) = /v#i dv#*a#i#j(v v#*) (f♯*f/v#j ff#*/v#*#, #j). Les trois premières parties de cette thèse concernent les équations homogènes (indépendantes de x) #tf = q(f, f). On insiste particulièrement sur deux points : les collisions rasantes et la dissipation d'entropie. Dans la première partie, on étudie le problème de Cauchy associé aux équations de Boltzmann et de Landau homogènes (pour des sections efficaces réalistes et éventuellement singulières), des propriétés de régularité des solutions, ainsi que l'asymptotique des collisions rasantes qui permet de passer d'une équation à l'autre. La deuxième partie est consacrée au cas particulier des molécules maxwelliennes. Sous cette hypothèse, on effectue une étude détaillée du problème de Cauchy et du retour vers l'équilibre, ainsi que des liens entre théorie cinétique et théorie de l'information. Dans la troisième partie, on utilise les résultats précédents pour obtenir des estimations explicites sur la vitesse de retour vers l'équilibre dans le cas général. Dans la quatrième partie, on obtient des résultats partiels sur le problème de Cauchy pour l'équation de Landau inhomogène, et quelques estimations nouvelles sur l'équation de Boltzmann inhomogène. Enfin, dans la cinquième partie, on établit diverses formes conservatives de l'opérateur de Boltzmann, avec application à l'asymptotique des collisions rasantes.
Author :
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ISBN 13 :
Total Pages : 612 pages
Book Rating : 4.4/5 (641 download)
Download or read book Publications Du Laboratoire D'analyse Numérique written by and published by . This book was released on 1996 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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ISBN 13 :
Total Pages : 486 pages
Book Rating : 4.3/5 (91 download)
Download or read book Chinese Journal of Numerical Mathematics and Applications written by and published by . This book was released on 2000 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Cédric Villani
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (494 download)
Download or read book Contribution a l'etude mathematique des equations de Boltzmann et de Landau en theorie cinetique des gaz et des plasmas written by Cédric Villani and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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ISBN 13 :
Total Pages : 916 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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ISBN 13 :
Total Pages : 756 pages
Book Rating : 4.:/5 (319 download)
Download or read book Canadian Journal of Physics written by and published by . This book was released on 2012 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:
