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

Format:

Book

Author/Creator:

Díaz, J. I., author.

Gomez-Castro, David, author.

Shaposhnikova, T. O., author.

Series:

De Gruyter Series in Nonlinear Analysis and Applications

De Gruyter Series in Nonlinear Analysis and Applications ; 39

Language:

English

Subjects (All):

Nanocomposites (Materials).

Nanocomposites (Materials)--Machinability.

Physical Description:

1 online resource (XVI, 184 p.)

Place of Publication:

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

Language Note:

In English.

Summary:

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.

Contents:

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

Notes:

Description based on print version record.

Current Copyright Fee: GBP22.50 0.

ISBN:

9783110647518

3110647516

9783110648997

3110648997

OCLC:

1257324932