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Author: Thierry Passot Publisher: American Mathematical Soc. ISBN: 0821837230 Category : Science Languages : en Pages : 322
Book Description
This book covers a variety of topics related to kinetic theory in neutral gases and magnetized plasmas, with extensions to other systems such as quantum plasmas and granular flows. A comprehensive presentation is given for the Boltzmann equations and other kinetic equations for a neutral gas, together with the derivations of compressible and incompressible fluid dynamical systems, and their rigorous justification. Several contributions are devoted to collisionless magnetized plasmas. Rigorous results concerning the well-posedness of the Vlasov-Maxwell system are presented. Special interest is devoted to asymptotic regimes where the scales of variation of the electromagnetic field are clearly separated from those associated with the gyromotion of the particles. This volume collects lectures given at the Short Course and Workshop on Kinetic Theory organized at the Fields Institute of Mathematical Sciences in Toronto during the Spring of 2004.
Author: Thierry Passot Publisher: American Mathematical Soc. ISBN: 0821837230 Category : Science Languages : en Pages : 322
Book Description
This book covers a variety of topics related to kinetic theory in neutral gases and magnetized plasmas, with extensions to other systems such as quantum plasmas and granular flows. A comprehensive presentation is given for the Boltzmann equations and other kinetic equations for a neutral gas, together with the derivations of compressible and incompressible fluid dynamical systems, and their rigorous justification. Several contributions are devoted to collisionless magnetized plasmas. Rigorous results concerning the well-posedness of the Vlasov-Maxwell system are presented. Special interest is devoted to asymptotic regimes where the scales of variation of the electromagnetic field are clearly separated from those associated with the gyromotion of the particles. This volume collects lectures given at the Short Course and Workshop on Kinetic Theory organized at the Fields Institute of Mathematical Sciences in Toronto during the Spring of 2004.
Author: C. Bardos Publisher: Springer Science & Business Media ISBN: 9400990049 Category : Science Languages : en Pages : 591
Book Description
One of the main ideas in organizing the Summer Institute of Cargese on "Bifurcation Phenomena in Mathematical Physics and Related Topics" was to bring together Physicists and Mathematicians working on the properties arising from the non linearity of the phenomena and of the models that are used for their description. Among these properties the existence of bifurcations is one of the most interesting, and we had a general survey of the mathematical tools used in this field. This survey was done by M. Crandall and P. Rabinowitz and the notes enclosed in these proceedings were written by E. Buzano a]ld C. Canuto. Another mathematical approach, using Morse Theory was given by J. Smoller reporting on a joint work with C. Conley. An example of a direct application was given by M. Ghil. For physicists the theory of bifurcation is closely related to critical phenomena and this was explained in a series of talks given by J.P. Eckmann, G. Baker and M. Fisher. Some related ideas can be found in the talk given by T. T. Wu , on a joint work with Barry Mc Coy on quantum field theory. The description of these phenomena leads to the use of Pade approximants (it is explained for instance in the lectures of J. Nuttall) and then to some problems in drop hot moment problems. (cf. the lecture of D. Bessis).
Author: F. E. Browder Publisher: Springer Science & Business Media ISBN: 3642482724 Category : Mathematics Languages : en Pages : 248
Book Description
On May 20-24. 1968, a Conference on Functional Analysis and Related Fields was held at the Center for Continuing Education of the University cl Chicago in honor of ProfessoLMARSHALL HARVEY STONE on the occasion of his retirement from active service at the University. The Conference received support from the Air Force Office of Scientific Research under the Grant AFOSR 68-1497. The Organizing committee for this Conference consisted of ALBERTO P. CALDERON, SAUNDERS MACLANE, ROBERT G. POHRER, and FELIX E. BROWDER (Chairman). The present volume contains some of the papers presented at the Conference. nther talks which were presented at the Conference for which papers are noLinduded hereare: K. CHANDRASEKHARAN, "Zeta functions of quadratic fields"; J. L. DooB, "An application of prob ability theory to the Choquet boundary" ; HALMOS, "Irreducible operators"; P. R. KADISON, "Strong continuity of operator functions"; L. NIRENBERG, "Intrinsic norms on complex manifolds"; D. SCOTT, "Some problems and recent results in Boolean algebras"; 1. M. SINGER, "A conjecture relating the Reidemeister torsion and the zeta function of the Laplacian". A banquet in honor of Professor STONE was held during the Con ference, with brief talks by S. S. CHERN, A. A. ALBERT, S. MACLANE, E. HEWITT, K. CHANDRASEKHARAN, and F. E. BROWDER (as Toast master), as weH as a response by Professor STONE.
Author: E. R. Tracy Publisher: Cambridge University Press ISBN: 0521768063 Category : Computers Languages : en Pages : 545
Book Description
This complete introduction to the use of modern ray tracing techniques in plasma physics describes the powerful mathematical methods generally applicable to vector wave equations in non-uniform media, and clearly demonstrates the application of these methods to simplify and solve important problems in plasma wave theory. Key analytical concepts are carefully introduced as needed, encouraging the development of a visual intuition for the underlying methodology, with more advanced mathematical concepts succinctly explained in the appendices, and supporting Matlab and Raycon code available online. Covering variational principles, covariant formulations, caustics, tunnelling, mode conversion, weak dissipation, wave emission from coherent sources, incoherent wave fields, and collective wave absorption and emission, all within an accessible framework using standard plasma physics notation, this is an invaluable resource for graduate students and researchers in plasma physics.
Author: Olivier Ouari Publisher: Royal Society of Chemistry ISBN: 1788019660 Category : Science Languages : en Pages : 611
Book Description
Nitroxides are versatile small organic molecules possessing a stabilised free radical. With their unpaired electron spin they display a unique reactivity towards various environmental factors, enabling a diverse range of applications. They have uses as synthetic tools, such as catalysts or building blocks; imaging agents and probes in biomedicine and materials science; for medicinal antioxidant applications; and in energy storage. Polynitroxides (polymers bearing pendant nitroxide sidechains) have been used in organic radical batteries, oxidation catalysts and in exchange reactions for constructing complex architectures. Chapters in this book cover the synthesis of nitroxides, EPR studies and magnetic resonance applications, physiochemical studies, and applications including in batteries, imaging and organic synthesis. With contributions from leaders in the field, Nitroxides will be of interest to graduate students and researchers across chemistry, physics, biology and materials science.
Author: Robert A. Helliwell Publisher: Courier Corporation ISBN: 0486151212 Category : Technology & Engineering Languages : en Pages : 370
Book Description
The investigation of whistlers and related phenomena is a key element in studies of very-low-frequency propagation, satellite communication, the outer ionosphere, and solar-terrestrial relationships. This comprehensive text presents a history of the study of the phenomena and includes all the elements necessary for the calculation of the characteristics of whistlers and whistler-mode signals. An introduction and brief history are followed by a summary of the theory of whistlers and a detailed explanation of the calculation of their characteristics. Succeeding chapters offer a complete atlas of a variety of whistlers, including those observed in satellites and those generated by nuclear explosions; the results of satellite observation of whistler-mode propagation; the method of reducing whistler data and obtaining electron density information; a full atlas of the various kinds of emissions; and an outline and comparison of the theories of generation of emissions.
Author: Nickolai Kocherginsky Publisher: CRC Press ISBN: 9780849342042 Category : Science Languages : en Pages : 286
Book Description
Extending the use of nitroxides as probes into more complex systems such as viable cells and whole animals requires greater knowledge of their interactions in functioning biological systems and appropriate model systems. Nitroxide Spin Labels: Reactions in Biology and Chemistry presents information essential for research in this area. Nitroxide research offers the promise of important new ways of measuring metabolism and will be useful in the diagnosis of important disease categories such as cancer, inflammation, and ischemia.
Author: Thierry Passot
Author: Thierry Passot
Author: C. Bardos
Author: Mark Aleksandrovich Krasnoselʹskiĭ
Author: F. E. Browder
Author: E. R. Tracy
Author: Olivier Ouari
Author: Robert A. Helliwell
Author: Ichirō Satake
Author: Nickolai Kocherginsky
Author: H. Fischer