Variational Convergence And Stochastic Homogenization Of Nonlinear Reaction Diffusion Problems

DOWNLOAD

Download Variational Convergence And Stochastic Homogenization Of Nonlinear Reaction Diffusion Problems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Variational Convergence And Stochastic Homogenization Of Nonlinear Reaction Diffusion Problems book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Variational Convergence And Stochastic Homogenization Of Nonlinear Reaction Diffusion Problems

DOWNLOAD
Author : Omar Anza Hafsa
language : en
Publisher: World Scientific
Release Date : 2022-06-21

Variational Convergence And Stochastic Homogenization Of Nonlinear Reaction Diffusion Problems written by Omar Anza Hafsa and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-21 with Mathematics categories.

A substantial number of problems in physics, chemical physics, and biology, are modeled through reaction-diffusion equations to describe temperature distribution or chemical substance concentration. For problems arising from ecology, sociology, or population dynamics, they describe the density of some populations or species. In this book the state variable is a concentration, or a density according to the cases. The reaction function may be complex and include time delays terms that model various situations involving maturation periods, resource regeneration times, or incubation periods. The dynamics may occur in heterogeneous media and may depend upon a small or large parameter, as well as the reaction term. From a purely formal perspective, these parameters are indexed by n. Therefore, reaction-diffusion equations give rise to sequences of Cauchy problems.The first part of the book is devoted to the convergence of these sequences in a sense made precise in the book. The second part is dedicated to the specific case when the reaction-diffusion problems depend on a small parameter ∊ₙ intended to tend towards 0. This parameter accounts for the size of small spatial and randomly distributed heterogeneities. The convergence results obtained in the first part, with additionally some probabilistic tools, are applied to this specific situation. The limit problems are illustrated through biological invasion, food-limited or prey-predator models where the interplay between environment heterogeneities in the individual evolution of propagation species plays an essential role. They provide a description in terms of deterministic and homogeneous reaction-diffusion equations, for which numerical schemes are possible.

Stochastic Porous Media Equations

DOWNLOAD
Author : Viorel Barbu
language : en
Publisher: Springer
Release Date : 2016-09-30

Stochastic Porous Media Equations written by Viorel Barbu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-30 with Mathematics categories.

Focusing on stochastic porous media equations, this book places an emphasis on existence theorems, asymptotic behavior and ergodic properties of the associated transition semigroup. Stochastic perturbations of the porous media equation have reviously been considered by physicists, but rigorous mathematical existence results have only recently been found. The porous media equation models a number of different physical phenomena, including the flow of an ideal gas and the diffusion of a compressible fluid through porous media, and also thermal propagation in plasma and plasma radiation. Another important application is to a model of the standard self-organized criticality process, called the "sand-pile model" or the "Bak-Tang-Wiesenfeld model". The book will be of interest to PhD students and researchers in mathematics, physics and biology.

Mathematical Reviews

DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2005

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

Dissertation Abstracts International

DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1997

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 1997 with Dissertations, Academic categories.

An Introduction To G Convergence

DOWNLOAD
Author : Gianni Dal Maso
language : en
Publisher: Springer Science & Business Media
Release Date : 1993

An Introduction To G Convergence written by Gianni Dal Maso 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 1993 with Mathematics categories.

The last twentyfive years have seen an increasing interest for variational convergences and for their applications to different fields, like homogenization theory, phase transitions, singular perturbations, boundary value problems in wildly perturbed domains, approximation of variatonal problems, and non­ smooth analysis. Among variational convergences, De Giorgi's r-convergence plays a cen­ tral role for its compactness properties and for the large number of results concerning r -limits of integral functionals. Moreover, almost all other varia­ tional convergences can be easily expressed in the language of r -convergence. This text originates from the notes of the courses on r -convergence held by the author in Trieste at the International School for Advanced Studies (S. I. S. S. A. ) during the academic years 1983-84,1986-87, 1990-91, and in Rome at the Istituto Nazionale di Alta Matematica (I. N. D. A. M. ) during the spring of 1987. This text is far from being a treatise on r -convergence and its appli­ cations.

Homogenization

DOWNLOAD
Author : Gregori A. Chechkin
language : en
Publisher: American Mathematical Soc.
Release Date :

Homogenization written by Gregori A. Chechkin 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 with Mathematics categories.

An Introduction To Convergence

DOWNLOAD
Author : Gianni Dal Maso
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

An Introduction To Convergence written by Gianni Dal Maso 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.

Analytic Methods For Partial Differential Equations

DOWNLOAD
Author : G. Evans
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Analytic Methods For Partial Differential Equations written by G. Evans 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.

The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but emerged in the 18th century as ordinary differential equations failed to describe the physical principles being studied. The subject was originally developed by the major names of mathematics, in particular, Leonard Euler and Joseph-Louis Lagrange who studied waves on strings; Daniel Bernoulli and Euler who considered potential theory, with later developments by Adrien-Marie Legendre and Pierre-Simon Laplace; and Joseph Fourier's famous work on series expansions for the heat equation. Many of the greatest advances in modern science have been based on discovering the underlying partial differential equation for the process in question. J ames Clerk Maxwell, for example, put electricity and magnetism into a unified theory by estab lishing Maxwell's equations for electromagnetic theory, which gave solutions for problems in radio wave propagation, the diffraction of light and X-ray developments. Schrodinger's equation for quantum mechankal processes at the atomic level leads to experimentally verifiable results which have changed the face of atomic physics and chemistry in the 20th century. In fluid mechanics, the Navier-Stokes' equations form a basis for huge number-crunching activities associated with such widely disparate topics as weather forcasting and the design of supersonic aircraft. Inevitably the study of partial differential equations is a large undertaking, and falls into several areas of mathematics.

An Introduction To Homogenization

DOWNLOAD
Author : Doïna Cioranescu
language : en
Publisher:
Release Date : 1999-09-01

An Introduction To Homogenization written by Doïna Cioranescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-01 with Homogenization (Differential equations) categories.

Reviews In Partial Differential Equations 1980 86 As Printed In Mathematical Reviews

DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1988

Reviews In Partial Differential Equations 1980 86 As Printed In Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Differential equations, Partial categories.