Nonlinear Stochastic Evolution Problems In Applied Sciences

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Nonlinear Stochastic Evolution Problems In Applied Sciences

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Author : N. Bellomo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Stochastic Evolution Problems In Applied Sciences written by N. Bellomo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This volume deals with the analysis of nonlinear evolution problems described by partial differential equations having random or stochastic parameters. The emphasis throughout is on the actual determination of solutions, rather than on proving the existence of solutions, although mathematical proofs are given when this is necessary from an applications point of view. The content is divided into six chapters. Chapter 1 gives a general presentation of mathematical models in continuum mechanics and a description of the way in which problems are formulated. Chapter 2 deals with the problem of the evolution of an unconstrained system having random space-dependent initial conditions, but which is governed by a deterministic evolution equation. Chapter 3 deals with the initial-boundary value problem for equations with random initial and boundary conditions as well as with random parameters where the randomness is modelled by stochastic separable processes. Chapter 4 is devoted to the initial-boundary value problem for models with additional noise, which obey Ito-type partial differential equations. Chapter 5 is essential devoted to the qualitative and quantitative analysis of the chaotic behaviour of systems in continuum physics. Chapter 6 provides indications on the solution of ill-posed and inverse problems of stochastic type and suggests guidelines for future research. The volume concludes with an Appendix which gives a brief presentation of the theory of stochastic processes. Examples, applications and case studies are given throughout the book and range from those involving simple stochasticity to stochastic illposed problems. For applied mathematicians, engineers and physicists whose work involves solving stochastic problems.

Stochastic Evolution Systems

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Author : B.L. Rozovskii
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Stochastic Evolution Systems written by B.L. Rozovskii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Covering the general theory of linear stochastic evolution systems with unbounded drift and diffusion operators, this book sureys Ito's second-order parabolic equations and explores filtering problems for processes whose trajectories can be described by them.

Evolution Equations And Approximations

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Author : Kazufumi Ito
language : en
Publisher: World Scientific
Release Date : 2002

Evolution Equations And Approximations written by Kazufumi Ito and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.

Annotation Ito (North Carolina State U.) and Kappel (U. of Graz, Austria) offer a unified presentation of the general approach for well-posedness results using abstract evolution equations, drawing from and modifying the work of K. and Y. Kobayashi and S. Oharu. They also explore abstract approximation results for evolution equations. Their work is not a textbook, but they explain how instructors can use various sections, or combinations of them, as a foundation for a range of courses. Annotation copyrighted by Book News, Inc., Portland, OR

International Books In Print

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Author :
language : en
Publisher:
Release Date : 1997

International Books In Print written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with English imprints categories.

Evolution Equations And Their Applications In Physical And Life Sciences

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Author : G Lumer
language : en
Publisher: CRC Press
Release Date : 2019-04-24

Evolution Equations And Their Applications In Physical And Life Sciences written by G Lumer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-24 with Medical categories.

This volume presents a collection of lectures on linear partial differntial equations and semigroups, nonlinear equations, stochastic evolutionary processes, and evolution problems from physics, engineering and mathematical biology. The contributions come from the 6th International Conference on Evolution Equations and Their Applications in Physica

Stochastic Evolution Equations

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Author : Wilfried Grecksch
language : en
Publisher: De Gruyter Akademie Forschung
Release Date : 1995

Stochastic Evolution Equations written by Wilfried Grecksch and has been published by De Gruyter Akademie Forschung this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

The authors give a self-contained exposition of the theory of stochastic evolution equations. Elements of infinite dimensional analysis, martingale theory in Hilbert spaces, stochastic integrals, stochastic convolutions are applied. Existence and uniqueness theorems for stochastic evolution equations in Hilbert spaces in the sense of the semigroup theory, the theory of evolution operators, and monotonous operators in rigged Hilbert spaces are discussed. Relationships between the different concepts are demonstrated. The results are used to concrete stochastic partial differential equations like parabolic and hyperbolic Ito equations and random constitutive equations of elastic viscoplastic materials. Furthermore, stochastic evolution equations in rigged Hilbert spaces are approximated by time discretization methods.

Asymptotic Theory Of Nonlinear Regression

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Author : A.A. Ivanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Asymptotic Theory Of Nonlinear Regression written by A.A. Ivanov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

Let us assume that an observation Xi is a random variable (r.v.) with values in 1 1 (1R1 , 8 ) and distribution Pi (1R1 is the real line, and 8 is the cr-algebra of its Borel subsets). Let us also assume that the unknown distribution Pi belongs to a 1 certain parametric family {Pi() , () E e}. We call the triple £i = {1R1 , 8 , Pi(), () E e} a statistical experiment generated by the observation Xi. n We shall say that a statistical experiment £n = {lRn, 8 , P; ,() E e} is the product of the statistical experiments £i, i = 1, ... ,n if PO' = P () X ... X P () (IRn 1 n n is the n-dimensional Euclidean space, and 8 is the cr-algebra of its Borel subsets). In this manner the experiment £n is generated by n independent observations X = (X1, ... ,Xn). In this book we study the statistical experiments £n generated by observations of the form j = 1, ... ,n. (0.1) Xj = g(j, (}) + cj, c c In (0.1) g(j, (}) is a non-random function defined on e , where e is the closure in IRq of the open set e ~ IRq, and C j are independent r. v .-s with common distribution function (dJ.) P not depending on ().

Evolutionary Equations With Applications In Natural Sciences

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Author : Jacek Banasiak
language : en
Publisher: Springer
Release Date : 2014-11-07

Evolutionary Equations With Applications In Natural Sciences written by Jacek Banasiak and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-07 with Mathematics categories.

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.

Advanced Mathematical Tools In Metrology Proceedings Of The International Workshop

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Author : Nicola Bellomo
language : en
Publisher: World Scientific
Release Date : 1994-05-18

Advanced Mathematical Tools In Metrology Proceedings Of The International Workshop written by Nicola Bellomo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-18 with categories.

Since its reform and opening up, China has experienced unprecedented social and economic development. It is important to understand the biggest and fastest growing economy's policy and strategy. As a key director in Party School of the Central Committee of the Communist Party of China, the author proposes a development path and reform strategies for China in the next three decades.This book suggests reform strategies not only for the economic structure but also for the political system in China. The author makes a sound analysis and exposition of “Chinese dream”, which reflects the vision of a better life in the future and the main indicators of social change. The book investigates China's development path, political system, economic structure, people's livelihood etc and suggests long-term strategies for China in this regard.

Recent Awards In Engineering

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Author :
language : en
Publisher:
Release Date : 1983

Recent Awards In Engineering written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Engineering categories.