Spectral Theory For Random And Nonautonomous Parabolic Equations And Applications

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Spectral Theory For Random And Nonautonomous Parabolic Equations And Applications

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Author : Janusz Mierczynski
language : en
Publisher: CRC Press
Release Date : 2008-03-24

Spectral Theory For Random And Nonautonomous Parabolic Equations And Applications written by Janusz Mierczynski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-24 with Mathematics categories.

Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications focuses on the principal spectral theory for general time-dependent and random parabolic equations and systems. The text contains many new results and considers existing results from a fresh perspective. “/p>

Spectral Theory For Random And Nonautonomous Parabolic Equations And Applications Monographs And Surveys In Pure And Applied Mathematics

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Author :
language : en
Publisher:
Release Date : 2008

Spectral Theory For Random And Nonautonomous Parabolic Equations And Applications Monographs And Surveys In Pure And Applied Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.

Infinite Dimensional Dynamical Systems

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Author : John Mallet-Paret
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-11

Infinite Dimensional Dynamical Systems written by John Mallet-Paret 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 2012-10-11 with Mathematics categories.

​This collection covers a wide range of topics of infinite dimensional dynamical systems generated by parabolic partial differential equations, hyperbolic partial differential equations, solitary equations, lattice differential equations, delay differential equations, and stochastic differential equations. Infinite dimensional dynamical systems are generated by evolutionary equations describing the evolutions in time of systems whose status must be depicted in infinite dimensional phase spaces. Studying the long-term behaviors of such systems is important in our understanding of their spatiotemporal pattern formation and global continuation, and has been among major sources of motivation and applications of new developments of nonlinear analysis and other mathematical theories. Theories of the infinite dimensional dynamical systems have also found more and more important applications in physical, chemical, and life sciences. This book collects 19 papers from 48 invited lecturers to the International Conference on Infinite Dimensional Dynamical Systems held at York University, Toronto, in September of 2008. As the conference was dedicated to Professor George Sell from University of Minnesota on the occasion of his 70th birthday, this collection reflects the pioneering work and influence of Professor Sell in a few core areas of dynamical systems, including non-autonomous dynamical systems, skew-product flows, invariant manifolds theory, infinite dimensional dynamical systems, approximation dynamics, and fluid flows.​

Lyapunov Exponents And Invariant Manifolds For Random Dynamical Systems In A Banach Space

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Author : Zeng Lian
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Lyapunov Exponents And Invariant Manifolds For Random Dynamical Systems In A Banach Space written by Zeng Lian and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

The authors study the Lyapunov exponents and their associated invariant subspaces for infinite dimensional random dynamical systems in a Banach space, which are generated by, for example, stochastic or random partial differential equations. The authors prove a multiplicative ergodic theorem and then use this theorem to establish the stable and unstable manifold theorem for nonuniformly hyperbolic random invariant sets.

Introduction To Reaction Diffusion Equations

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Author : King-Yeung Lam
language : en
Publisher: Springer Nature
Release Date : 2022-12-01

Introduction To Reaction Diffusion Equations written by King-Yeung Lam and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-01 with Mathematics categories.

This book introduces some basic mathematical tools in reaction-diffusion models, with applications to spatial ecology and evolutionary biology. It is divided into four parts. The first part is an introduction to the maximum principle, the theory of principal eigenvalues for elliptic and periodic-parabolic equations and systems, and the theory of principal Floquet bundles. The second part concerns the applications in spatial ecology. We discuss the dynamics of a single species and two competing species, as well as some recent progress on N competing species in bounded domains. Some related results on stream populations and phytoplankton populations are also included. We also discuss the spreading properties of a single species in an unbounded spatial domain, as modeled by the Fisher-KPP equation. The third part concerns the applications in evolutionary biology. We describe the basic notions of adaptive dynamics, such as evolutionarily stable strategies and evolutionary branching points, in the context of a competition model of stream populations. We also discuss a class of selection-mutation models describing a population structured along a continuous phenotypical trait. The fourth part consists of several appendices, which present a self-contained treatment of some basic abstract theories in functional analysis and dynamical systems. Topics include the Krein-Rutman theorem for linear and nonlinear operators, as well as some elements of monotone dynamical systems and abstract competition systems. Most of the book is self-contained and it is aimed at graduate students and researchers who are interested in the theory and applications of reaction-diffusion equations.

Discrete And Continuous Dynamical Systems

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Author :
language : en
Publisher:
Release Date : 2008

Discrete And Continuous Dynamical Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Differentiable dynamical systems categories.

Nonlinearity

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Author :
language : en
Publisher:
Release Date : 2009-04

Nonlinearity written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04 with Mathematical analysis categories.

Mathematics And Computation

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Author : Dia Zeidan
language : en
Publisher: Springer Nature
Release Date : 2023-05-29

Mathematics And Computation written by Dia Zeidan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-29 with Mathematics categories.

This book collects select papers presented at the 7th International Arab Conference on Mathematics and Computations (IACMC 2022), held from 11–13 May 2022, at Zarqa University, Zarqa, Jordan. These papers discuss a new direction for mathematical sciences. Researchers, professionals and educators will be exposed to research results contributed by worldwide scholars in fundamental and advanced interdisciplinary mathematical research such as differential equations, dynamical systems, matrix analysis, numerical methods and mathematical modelling. The vision of this book is to establish prototypes in completed, current and future mathematical and applied sciences research from advanced and developing countries. The book is intended to make an intellectual contribution to the theory and practice of mathematics. This proceedings would connect scientists in this part of the world to the international level.

Blow Up Theories For Semilinear Parabolic Equations

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Author : Bei Hu
language : en
Publisher: Springer
Release Date : 2011-03-17

Blow Up Theories For Semilinear Parabolic Equations written by Bei Hu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-17 with Mathematics categories.

There is an enormous amount of work in the literature about the blow-up behavior of evolution equations. It is our intention to introduce the theory by emphasizing the methods while seeking to avoid massive technical computations. To reach this goal, we use the simplest equation to illustrate the methods; these methods very often apply to more general equations.

Topological Complexity Of Smooth Random Functions

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Author : Robert Adler
language : en
Publisher: Springer
Release Date : 2011-05-16

Topological Complexity Of Smooth Random Functions written by Robert Adler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-16 with Mathematics categories.

These notes, based on lectures delivered in Saint Flour, provide an easy introduction to the authors’ 2007 Springer monograph “Random Fields and Geometry.” While not as exhaustive as the full monograph, they are also less exhausting, while still covering the basic material, typically at a more intuitive and less technical level. They also cover some more recent material relating to random algebraic topology and statistical applications. The notes include an introduction to the general theory of Gaussian random fields, treating classical topics such as continuity and boundedness. This is followed by a quick review of geometry, both integral and Riemannian, with an emphasis on tube formulae, to provide the reader with the material needed to understand and use the Gaussian kinematic formula, the main result of the notes. This is followed by chapters on topological inference and random algebraic topology, both of which provide applications of the main results.