1.

Record Nr.

UNINA9910554258303321

Autore

Díaz J. I.

Titolo

Nonlinear reaction-diffusion processes for nanocomposites : anomalous improved homogenization / / Jesus Ildefonso Diaz, David Gomez-Castro, Tatiana Olegovna Shaposhnikova

Pubbl/distr/stampa

Berlin ; ; Boston, MA : , : Walter de Gruyter GmbH, , [2021]

©2021

ISBN

3-11-064751-6

3-11-064899-7

Descrizione fisica

1 online resource (XVI, 184 p.)

Collana

De Gruyter Series in Nonlinear Analysis and Applications ; ; 39

Classificazione

VE 9850

Disciplina

620.115

Soggetti

Nanocomposites (Materials)

Nanocomposites (Materials) - Machinability

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Frontmatter -- Preface -- Notation -- Contents -- 1 Introduction and modeling -- 2 Preliminary results and comments -- 3 Estimates over one periodicity cell -- 4 Particles over the whole domain -- 5 Particles over an interior manifold -- 6 Particles over a part of the boundary -- A Comments on the parabolic case -- B Dynamic boundary condition -- C Critical-size particles with a stochastic perturbation -- Bibliography -- Index

Sommario/riassunto

The behavior of materials at the nanoscale is a key aspect of modern nanoscience and nanotechnology. This book presents rigorous mathematical techniques showing that some very useful phenomenological properties which can be observed at the nanoscale in many nonlinear reaction-diffusion processes can be simulated and justified mathematically by means of homogenization processes when a certain critical scale is used in the corresponding framework.