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Existence And Nonlinear Stability Of Dynamic Solutions To The Vlasov Equation Under A 1

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Existence And Nonlinear Stability Of Dynamic Solutions To The Vlasov Equation Under A 1

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Author : Robert Clifford Bruce Steacy
language : en
Publisher:
Release Date : 2003

Existence And Nonlinear Stability Of Dynamic Solutions To The Vlasov Equation Under A 1 written by Robert Clifford Bruce Steacy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.

Dissertation Abstracts International

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Author :
language : en
Publisher:
Release Date : 2004

Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Dissertations, Academic categories.

Handbook Of Differential Equations Evolutionary Equations

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Author : C.M. Dafermos
language : en
Publisher: Elsevier
Release Date : 2011-09-22

Handbook Of Differential Equations Evolutionary Equations written by C.M. Dafermos and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Mathematics categories.

The material collected in this volume reflects the active present of this area of mathematics, ranging from the abstract theory of gradient flows to stochastic representations of non-linear parabolic PDE's. Articles will highlight the present as well as expected future directions of development of the field with particular emphasis on applications. The article by Ambrosio and Savaré discusses the most recent development in the theory of gradient flow of probability measures. After an introduction reviewing the properties of the Wasserstein space and corresponding subdifferential calculus, applications are given to evolutionary partial differential equations. The contribution of Herrero provides a description of some mathematical approaches developed to account for quantitative as well as qualitative aspects of chemotaxis. Particular attention is paid to the limits of cell's capability to measure external cues on the one hand, and to provide an overall description of aggregation models for the slim mold Dictyostelium discoideum on the other. The chapter written by Masmoudi deals with a rather different topic - examples of singular limits in hydrodynamics. This is nowadays a well-studied issue given the amount of new results based on the development of the existence theory for rather general systems of equations in hydrodynamics. The paper by DeLellis addreses the most recent results for the transport equations with regard to possible applications in the theory of hyperbolic systems of conservation laws. Emphasis is put on the development of the theory in the case when the governing field is only a BV function. The chapter by Rein represents a comprehensive survey of results on the Poisson-Vlasov system in astrophysics. The question of global stability of steady states is addressed in detail. The contribution of Soner is devoted to different representations of non-linear parabolic equations in terms of Markov processes. After a brief introduction on the linear theory, a class of non-linear equations is investigated, with applications to stochastic control and differential games. The chapter written by Zuazua presents some of the recent progresses done on the problem of controllabilty of partial differential equations. The applications include the linear wave and heat equations,parabolic equations with coefficients of low regularity, and some fluid-structure interaction models. - Volume 1 focuses on the abstract theory of evolution - Volume 2 considers more concrete probelms relating to specific applications - Volume 3 reflects the active present of this area of mathematics, ranging from the abstract theory of gradient flows to stochastic representations of non-linear PDEs

Scientific And Technical Aerospace Reports

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Author :
language : en
Publisher:
Release Date : 1995

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Aeronautics categories.

Beam Stability And Nonlinear Dynamics

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Author : Parsa
language : en
Publisher: American Institute of Physics
Release Date : 1997

Beam Stability And Nonlinear Dynamics written by Parsa and has been published by American Institute of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Science categories.

The book reports on the third of three symposia hosted by the Institute for Theoretical Physics and supported by its sponsor, the National Science Foundation. The work deals with some of the fundamental theoretical problems of accelerator physics as discussed by leaders from accelerator and mathematics communities, together with those from other fields of physics. The focus was on nonlinear dynamics and beam stability. This volume begins with some defining talks on relevant mathematical topics such as single-particle Hamiltonian dynamics, chaos, and new ideas in symplectic integrators. The physics topics included single-particle and many-particle dynamics as they relate to circular accelerators in which particles circulate for a very large number of turns. These concepts were also applied to linear accelerators, where space charge and wakefields induced in accelerating cavities play a strong role.

Stochastic Control

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Author : Chris Myers
language : en
Publisher: BoD – Books on Demand
Release Date : 2010-08-17

Stochastic Control written by Chris Myers and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-17 with Computers categories.

Uncertainty presents significant challenges in the reasoning about and controlling of complex dynamical systems. To address this challenge, numerous researchers are developing improved methods for stochastic analysis. This book presents a diverse collection of some of the latest research in this important area. In particular, this book gives an overview of some of the theoretical methods and tools for stochastic analysis, and it presents the applications of these methods to problems in systems theory, science, and economics.