Carlo Cercignani

Slow Rarefied Flows (eBook, PDF)

Theory and Application to Micro-Electro-Mechanical Systems

• Format: PDF

Produktbeschreibung

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 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.

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Produktdetails

• Verlag: Birkhäuser Basel
• Seitenzahl: 166
• Erscheinungstermin: 2. Juli 2006
• Englisch
• ISBN-13: 9783764375379
• Artikelnr.: 37398280

Autorenporträt

Carlo Cercignani, Politecnico di Milano, Italy

Inhaltsangabe

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.

Rezensionen

From the reviews: "The main topic of the book is rarefied gas dynamics which can be defined as the study of gas flows in which the distance between two subsequent collisions of a molecule ... is not negligible in comparison with the length typical for the surrounding structure. ... The book will be useful to specialists in the mathematical theory of fluids. It can serve also those who are beginners in this area provided they have some erudition in mathematics on graduate level." (Ivan Straskraba, Applications of Mathematics, Vol. 54 (4), 2009)