عنوان

Quantitative stochastic homogenization and large-scale regularity /

شابک

3030155447

شابک

3030155455

شابک

3030155463

شابک

3030155471

شابک

9783030155445

شابک

9783030155452

شابک

9783030155469

شابک

9783030155476

شابک اشتباه

9783030155445

عنوان اصلي

Quantitative stochastic homogenization and large-scale regularity /

نام عام مواد

[Book]

نام نخستين پديدآور

Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2019.

نام خاص و کميت اثر

1 online resource

عنوان فروست

Grundlehren der mathematischen Wissenschaften ;

مشخصه جلد

volume 352

متن يادداشت

Preface -- Assumptions and examples -- Frequently asked questions -- Notation -- Introduction and qualitative theory -- Convergence of the subadditive quantities -- Regularity on large scales -- Quantitative description of first-order correctors -- Scaling limits of first-order correctors -- Quantitative two-scale expansions -- Calderon-Zygmund gradient L^p estimates -- Estimates for parabolic problems -- Decay of the parabolic semigroup -- Linear equations with nonsymmetric coefficients -- Nonlinear equations -- Appendices: A. The O_s notation -- B. Function spaces and elliptic equations on Lipschitz domains -- C. The Meyers L^{2+\delta} estimate -- D. Sobolev norms and heat flow -- Parabolic Green functions -- Bibliography -- Index.

بدون عنوان

0

متن يادداشت

The focus of this book is the large-scale statistical behavior of solutions of divergence-form elliptic equations with random coefficients, which is closely related to the long-time asymptotics of reversible diffusions in random media and other basic models of statistical physics. Of particular interest is the quantification of the rate at which solutions converge to those of the limiting, homogenized equation in the regime of large scale separation, and the description of their fluctuations around this limit. This self-contained presentation gives a complete account of the essential ideas and fundamental results of this new theory of quantitative stochastic homogenization, including the latest research on the topic, and is supplemented with many new results. The book serves as an introduction to the subject for advanced graduate students and researchers working in partial differential equations, statistical physics, probability and related fields, as well as a comprehensive reference for experts in homogenization. Being the first text concerned primarily with stochastic (as opposed to periodic) homogenization and which focuses on quantitative results, its perspective and approach are entirely different from other books in the literature.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783030155452

شماره استاندارد بين المللي کتاب و موسيقي

9783030155445

شماره استاندارد بين المللي کتاب و موسيقي

9783030155469

شماره استاندارد بين المللي کتاب و موسيقي

9783030155476

موضوع مستند نشده

Homogenization (Differential equations)

موضوع مستند نشده

Homogenization (Differential equations)

موضوع مستند نشده

MATHEMATICS-- Calculus.

موضوع مستند نشده

MATHEMATICS-- Mathematical Analysis.

موضوع مستند نشده

MAT-- 005000

موضوع مستند نشده

MAT-- 034000

موضوع مستند نشده

PBKJ

موضوع مستند نشده

PBKJ

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Armstrong, Scott

مستند نام اشخاص تاييد نشده

Kuusi, Tuomo

مستند نام اشخاص تاييد نشده

Mourrat, Jean-Christophe

تاريخ عمليات

20200823084546.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y