Slow rarefied flows : theory and application to microelectromechanical systems
 Responsibility
 Carlo Cercignani.
 Language
 English.
 Imprint
 Basel ; Boston : Birkhäuser, c2006.
 Physical description
 xi, 166 p. : ill. ; 24 cm.
 Series
 Progress in mathematical physics v. 41.
Access
Available online
 www.myilibrary.com MyiLibrary
 stanford.idm.oclc.org SpringerLink
 site.ebrary.com ebrary
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Call number  Status 

QC175 .C464 2006  Available 
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Creators/Contributors
 Author/Creator
 Cercignani, Carlo.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Preface. Introduction. The Boltzmann Equation. Validity and Existence. Perturbations of Equilibria. Boundary Value Problems. Slow Flows in a Slab. Flows in More than One Dimension. Rarefied Lubrication in MEMS. Index.
 (source: Nielsen Book Data)9783764375348 20160528
 Publisher's Summary
 This book presents the mathematical tools used to deal with problems related to slow rarefied flows, with particular attention to basic concepts and problems which arise in the study of micro and nanomachines. The mathematical theory of slow flows is presented in a practically complete fashion and provides a rigorous justification for the use of the linearized Boltzmann equation, which avoids costly simulations based on Monte Carlo methods. The book surveys the theorems on validity and existence, with particular concern for flows close to equilibria, and discusses recent applications of rarefied lubrication theory to microelectromechanical systems (MEMS). It gives a general acquaintance of modern developments of rarefied gas dynamics in various regimes with particular attention to low speed microscale gas dynamics. Senior students and graduates in applied mathematics, aerospace engineering, and mechanical mathematical physics will be provided with a basis for the study of molecular gas dynamics. The book will also be useful for scientific and technical researchers engaged in the research on gas flow in MEMS.
(source: Nielsen Book Data)9783764375348 20160528
Bibliographic information
 Publication date
 2006
 Series
 Progress in mathematical physics ; v. 41
 ISBN
 3764375345 (alk. paper)
 9783764375348
 376437537X (eISBN)
 9783764375379 (eISBN)