Homogenization Of Periodic And Random Gaussian Flows In 1d
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Author | : Alexey Malakhov |
Publisher | : |
Total Pages | : 100 |
Release | : 1998 |
Genre | : Diffusion processes |
ISBN | : |
Download Homogenization of Periodic and Random Gaussian Flows in 1D Book in PDF, Epub and Kindle
ABSTRACT: We studied homogenization properties for diffusion processes with one-dimensional periodic and stationary Gaussian random drifts. We prove homogenization and the existence of effective diffusivity both in periodic and stationary Gaussian cases. We also obtained the full asymptotics for effective diffusivity in the periodic case. The most important result in the stationary Gaussian case is proving the fact of homogenization and finding an expression for effective diffusivity under some regularity conditions on the drift.
Author | : |
Publisher | : |
Total Pages | : 878 |
Release | : 1998 |
Genre | : Dissertations, Academic |
ISBN | : |
Download Dissertation Abstracts International Book in PDF, Epub and Kindle
Author | : Georg J. Schmitz |
Publisher | : John Wiley & Sons |
Total Pages | : 347 |
Release | : 2012-05-21 |
Genre | : Technology & Engineering |
ISBN | : 352733081X |
Download Integrative Computational Materials Engineering Book in PDF, Epub and Kindle
Presenting the results of an ambitious project, this book summarizes the efforts towards an open, web-based modular and extendable simulation platform for materials engineering that allows simulations bridging several length scales. In so doing, it covers processes along the entire value chain and even describes such different classes of materials as metallic alloys and polymers. It comprehensively describes all structural ideas, the underlying concepts, standard specifications, the verification results obtained for different test cases and additionally how to utilize the platform as a user and how to join it as a provider. A resource for researchers, users and simulation software providers alike, the monograph provides an overview of the current status, serves as a generic manual for prospective users, and offers insights into the inner modular structure of the simulation platform.
Author | : Doïna Cioranescu |
Publisher | : Oxford University Press on Demand |
Total Pages | : 262 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9780198565543 |
Download An Introduction to Homogenization Book in PDF, Epub and Kindle
Composite materials are widely used in industry: well-known examples of this are the superconducting multi-filamentary composites which are used in the composition of optical fibres. Such materials are complicated to model, as different points in the material will have different properties. The mathematical theory of homogenization is designed to deal with this problem, and hence is used to model the behaviour of these important materials. This book provides a self-contained and authoritative introduction to the subject for graduates and researchers in the field.
Author | : Simo Särkkä |
Publisher | : Cambridge University Press |
Total Pages | : 327 |
Release | : 2019-05-02 |
Genre | : Business & Economics |
ISBN | : 1316510085 |
Download Applied Stochastic Differential Equations Book in PDF, Epub and Kindle
With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.
Author | : László Erdős |
Publisher | : American Mathematical Soc. |
Total Pages | : 239 |
Release | : 2017-08-30 |
Genre | : Mathematics |
ISBN | : 1470436485 |
Download A Dynamical Approach to Random Matrix Theory Book in PDF, Epub and Kindle
A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York University This book is a concise and self-contained introduction of recent techniques to prove local spectral universality for large random matrices. Random matrix theory is a fast expanding research area, and this book mainly focuses on the methods that the authors participated in developing over the past few years. Many other interesting topics are not included, and neither are several new developments within the framework of these methods. The authors have chosen instead to present key concepts that they believe are the core of these methods and should be relevant for future applications. They keep technicalities to a minimum to make the book accessible to graduate students. With this in mind, they include in this book the basic notions and tools for high-dimensional analysis, such as large deviation, entropy, Dirichlet form, and the logarithmic Sobolev inequality. This manuscript has been developed and continuously improved over the last five years. The authors have taught this material in several regular graduate courses at Harvard, Munich, and Vienna, in addition to various summer schools and short courses. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.
Author | : Boris Galperin |
Publisher | : Cambridge University Press |
Total Pages | : 527 |
Release | : 2019-02-28 |
Genre | : Science |
ISBN | : 1108577296 |
Download Zonal Jets Book in PDF, Epub and Kindle
In recent decades, great progress has been made in our understanding of zonal jets across many subjects - atmospheric science, oceanography, planetary science, geophysical fluid dynamics, plasma physics, magnetohydrodynamics, turbulence theory - but communication between researchers from different fields has been weak or non-existent. Even the terminology in different fields may be so disparate that researchers working on similar problems do not understand each other. This comprehensive, multidisciplinary volume will break cross-disciplinary barriers and aid the advancement of the subject. It presents a state-of-the-art summary of all relevant branches of the physics of zonal jets, from the leading experts. The phenomena and concepts are introduced at a level accessible to beginning graduate students and researchers from different fields. The book also includes a very extensive bibliography.
Author | : |
Publisher | : |
Total Pages | : 348 |
Release | : 1992 |
Genre | : Mechanics, Applied |
ISBN | : |
Download Applied Mechanics Reviews Book in PDF, Epub and Kindle
Author | : Grigorios A. Pavliotis |
Publisher | : Springer |
Total Pages | : 345 |
Release | : 2014-11-19 |
Genre | : Mathematics |
ISBN | : 1493913239 |
Download Stochastic Processes and Applications Book in PDF, Epub and Kindle
This book presents various results and techniques from the theory of stochastic processes that are useful in the study of stochastic problems in the natural sciences. The main focus is analytical methods, although numerical methods and statistical inference methodologies for studying diffusion processes are also presented. The goal is the development of techniques that are applicable to a wide variety of stochastic models that appear in physics, chemistry and other natural sciences. Applications such as stochastic resonance, Brownian motion in periodic potentials and Brownian motors are studied and the connection between diffusion processes and time-dependent statistical mechanics is elucidated. The book contains a large number of illustrations, examples, and exercises. It will be useful for graduate-level courses on stochastic processes for students in applied mathematics, physics and engineering. Many of the topics covered in this book (reversible diffusions, convergence to equilibrium for diffusion processes, inference methods for stochastic differential equations, derivation of the generalized Langevin equation, exit time problems) cannot be easily found in textbook form and will be useful to both researchers and students interested in the applications of stochastic processes.
Author | : Angiolo Farina |
Publisher | : Springer |
Total Pages | : 308 |
Release | : 2018-06-25 |
Genre | : Mathematics |
ISBN | : 3319747967 |
Download Non-Newtonian Fluid Mechanics and Complex Flows Book in PDF, Epub and Kindle
This book presents a series of challenging mathematical problems which arise in the modeling of Non-Newtonian fluid dynamics. It focuses in particular on the mathematical and physical modeling of a variety of contemporary problems, and provides some results. The flow properties of Non-Newtonian fluids differ in many ways from those of Newtonian fluids. Many biological fluids (blood, for instance) exhibit a non-Newtonian behavior, as do many naturally occurring or technologically relevant fluids such as molten polymers, oil, mud, lava, salt solutions, paint, and so on. The term "complex flows" usually refers to those fluids presenting an "internal structure" (fluid mixtures, solutions, multiphase flows, and so on). Modern research on complex flows has increased considerably in recent years due to the many biological and industrial applications.