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Advances in Mechanics and Mathematics

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Advances in Mechanics and Mathematics Cover

 

Synopses & Reviews

Publisher Comments:

Mechanics and mathematics have been complementary partners since Newton's time and the history of science shows much evidence of the beneficial influence of these disciplines on each other. Driven by increasingly elaborate modern technological applications the symbiotic relationship between mathematics and mechanics is continually growing. However, the increasingly large number of specialist journals has generated a duality gap between the two partners, and this gap is growing wider. Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications. This volume, AMMA 2002, includes two parts with three articles by four subject experts. Part 1 deals with nonsmooth static and dynamic systems. A systematic mathematical theory for multibody dynamics with unilateral and frictional constraints and a brief introduction to hemivariational inequalities together with some new developments in nonsmooth semi-linear elliptic boundary value problems are presented. Part 2 provides a comprehensive introduction and the latest research on dendritic growth in fluid mechanics, one of the most profound and fundamental subjects in the area of interfacial pattern formation, a commonly observed phenomenon in crystal growth and solidification processes. Audience: Scientists and mathematicians, including advanced students (doctoral and post-doctoral level) at universities and in industry interested in mechanics and applied mathematics.

Book News Annotation:

Focusing on nonsmooth mechanics of solids and dendritic growth in fluids, this volume provides an introduction to each topic and details a systematic mathematical theory for multibody dynamics with unilateral and frictional constraints. Topics studied include the stability and selection of dendritic growth from a melt with conventive flow; semilinear hemivariational inequalities with Dirichlet boundary condition; and the effect of enforced uniform flow on dendritic growth. There is no index. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications. This volume, AMMA 2002, includes two parts with three articles by four subject experts. Part 1 deals with nonsmooth static and dynamic systems. A systematic mathematical theory for multibody dynamics with unilateral and frictional constraints and a brief introduction to hemivariational inequalities together with some new developments in nonsmooth semi-linear elliptic boundary value problems are presented. Part 2 provides a comprehensive introduction and the latest research on dendritic growth in fluid mechanics, one of the most profound and fundamental subjects in the area of interfacial pattern formation, a commonly observed phenomenon in crystal growth and solidification processes.

Synopsis:

Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications. This volume, AMMA 2002, includes two parts with three articles by four subject experts. Part 1 deals with nonsmooth static and dynamic systems. A systematic mathematical theory for multibody dynamics with unilateral and frictional constraints and a brief introduction to hemivariational inequalities together with some new developments in nonsmooth semi-linear elliptic boundary value problems are presented. Part 2 provides a comprehensive introduction and the latest research on dendritic growth in fluid mechanics, one of the most profound and fundamental subjects in the area of interfacial pattern formation, a commonly observed phenomenon in crystal growth and solidification processes.

Table of Contents

List of Figures. Preface. Part I: Nonsmooth Mechanics of Solids. 1. Dynamics of Rigid Bodies Systems with Unilateral or Frictional Constraints; P. Ballard. 2. Semilinear Hemivariational Inequalities; D. Motreanu, Z. Naniewicz. Part II: Dendritic Growth in Fluids. 3. Dendritic Growth With Convection; Jian-Jun Xu.

Product Details

ISBN:
9781402008177
Author:
Gao, David Yang
Publisher:
Springer
Editor:
Yang Gao, David
Author:
Yang Gao, David
Author:
Ogden, Ray W.
Author:
Ogden, Raymond W.
Author:
Ogden, R. W.
Location:
Boston, MA
Subject:
Mathematics
Subject:
Mechanics
Subject:
Applied
Subject:
Mechanics, applied
Subject:
Mechanics - General
Subject:
Mechanics, Applied -- Mathematics.
Subject:
APPLICATIONS OF MATHEMATICS
Subject:
Fluid- and Aerodynamics
Subject:
Calculus of Variations and Optimal Control; Optimization
Subject:
PARTIAL DIFFERENTIAL EQUATIONS
Subject:
Mathematics-Applied
Subject:
Physics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Mathematical optimization
Subject:
Differential equations, partial
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Advances in Mechanics and Mathematics
Series Volume:
1
Publication Date:
August 2002
Binding:
HARDCOVER
Language:
English
Pages:
319
Dimensions:
240 x 160 mm 1390 gr

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Product details 319 pages Kluwer Academic Publishers - English 9781402008177 Reviews:
"Synopsis" by , Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications. This volume, AMMA 2002, includes two parts with three articles by four subject experts. Part 1 deals with nonsmooth static and dynamic systems. A systematic mathematical theory for multibody dynamics with unilateral and frictional constraints and a brief introduction to hemivariational inequalities together with some new developments in nonsmooth semi-linear elliptic boundary value problems are presented. Part 2 provides a comprehensive introduction and the latest research on dendritic growth in fluid mechanics, one of the most profound and fundamental subjects in the area of interfacial pattern formation, a commonly observed phenomenon in crystal growth and solidification processes.

"Synopsis" by , Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications. This volume, AMMA 2002, includes two parts with three articles by four subject experts. Part 1 deals with nonsmooth static and dynamic systems. A systematic mathematical theory for multibody dynamics with unilateral and frictional constraints and a brief introduction to hemivariational inequalities together with some new developments in nonsmooth semi-linear elliptic boundary value problems are presented. Part 2 provides a comprehensive introduction and the latest research on dendritic growth in fluid mechanics, one of the most profound and fundamental subjects in the area of interfacial pattern formation, a commonly observed phenomenon in crystal growth and solidification processes.
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