By O. A. Oleinik,A. S. Shamaev,G. A. Yosifian

This monograph relies on learn undertaken by means of the authors over the last ten years. the most a part of the paintings offers with homogenization difficulties in elasticity in addition to a few mathematical difficulties on the topic of composite and perforated elastic fabrics. This examine of techniques in strongly non-homogeneous media brings forth a great number of merely mathematical difficulties that are extremely important for functions. even though the tools prompt take care of desk bound difficulties, a few of them could be prolonged to non-stationary equations. except for a few recognized evidence from useful research and the idea of partial differential equations, all leads to this e-book are given designated mathematical proof.

It is anticipated that the consequences and strategies provided during this publication will advertise extra research of mathematical versions for tactics in composite and perforated media, heat-transfer, strength move via radiation, techniques of diffusion and filtration in porous media, and they will stimulate study in different difficulties of mathematical physics and the speculation of partial differential equations.

Show description

Read Online or Download Mathematical Problems in Elasticity and Homogenization (Studies in Mathematics and its Applications) PDF

Similar number theory books

A Course in p-adic Analysis (Graduate Texts in Mathematics)

Came upon on the flip of the 20 th century, p-adic numbers are usually utilized by mathematicians and physicists. this article is a self-contained presentation of easy p-adic research with a spotlight on analytic themes. It deals many gains hardly handled in introductory p-adic texts akin to topological versions of p-adic areas within Euclidian area, a unique case of Hazewinkel’s sensible equation lemma, and a therapy of analytic components.

Elliptic Tales: Curves, Counting, and Number Theory

Elliptic stories describes the newest advancements in quantity idea by way of taking a look at some of the most interesting unsolved difficulties in modern mathematics—the Birch and Swinnerton-Dyer Conjecture. during this publication, Avner Ash and Robert Gross advisor readers during the arithmetic they should comprehend this appealing challenge.

The Theory of Remainders (Dover Books on Mathematics)

An imaginitive creation to quantity concept, this special approach employs a couple of fictional characters, Ant and Gnam. Ant leads Gnam via various theories, and jointly, they positioned the theories into action—applying linear diophantine equations to soccer scoring, utilizing a black-magic gadget to simplify difficulties in modular buildings, and constructing fascinating variations to the foundations of chess.

Numeri e Crittografia (UNITEXT) (Italian Edition)

Il libro tratta di metodi di crittografia e sistemi, con particolare enfasi alla teoria dei numeri. Il libro è rivolto agli studenti universitari del nuovo ordinamento che debbano seguire un corso base di teoria dei numeri e crittografia. Il quantity è impostato in modo chiaro e sistematico, in modo da rendere facilmente accessibile l. a. materia agli studenti di matematica e informatica, fornendo peraltro parecchie descrizioni di applicazioni computazionali.

Additional resources for Mathematical Problems in Elasticity and Homogenization (Studies in Mathematics and its Applications)

Sample text

Download PDF sample

Rated 4.46 of 5 – based on 20 votes