Slow Rarefied Flows: Theory and Application to Micro-Electro-Mechanical Systems

Description

Slow Rarefied Flows: Theory and Application to Micro-Electro-Mechanical Systems (Progress in Mathematical Physics)

 

By Carlo Cercignani

Publisher:   Birkhauser
Number Of Pages:   166
Publication Date:   2006-05-12
Sales Rank:   1904101
ISBN / ASIN:   3764375345
EAN:   9783764375348
Binding:   Hardcover
Manufacturer:   Birkhauser
Studio:   Birkhauser

Book Description:

The 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 micro-electro-mechanical systems (MEMS). It gives a general acquaintance of modern read.freeduan.com lopments 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.

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