Microflows and Nanoflows Fundamentals and Simulation
In the last few years there has been significant progress in the development of microfluidics and nanofluidics at the application as well as at the fundamental and simulation levels. This book provides a comprehensive summary of these changes describing f
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Problems in engineering, computational science, and the physical and biological sciences are using increasingly sophisticated mathematical techniques. Thus, the bridge between the mathematical sciences and other disciplines is heavily traveled. The correspondingly increased dialog between the disciplines has led to the establishment of the series: Interdisciplinary Applied Mathematics. The purpose of this series is to meet the current and future needs for the interaction between various science and technology areas on the one hand and mathematics on the other. This is done, firstly, by encouraging the ways that mathematics may be applied in traditional areas, as well as point towards new and innovative areas of applications; and, secondly, by encouraging other scientific disciplines to engage in a dialog with mathematicians outlining their problems to both access new methods and suggest innovative developments within mathematics itself. The series will consist of monographs and high-level texts from researchers working on the interplay between mathematics and other fields of science and technology.
Interdisciplinary Applied Mathematics Volumes published are listed at the end of the book.
George Karniadakis Ali Beskok Narayan Aluru
Microflows and Nanoflows Fundamentals and Simulation Foreword by Chih-Ming Ho
With 395 Figures
Ali Beskok Department of Mechanical Engineering Texas A & M University College Station, TX 77843 USA
George Karniadakis Center for Fluid Mechanics Brown University Providence, RI 02912 USA Narayan Aluru Beckmann Institute for the Advancement of Science and Technology University of Illinois at Urbana-Champaign Urbana, IL 61801 USA
Editors S.S. Antman Department of Mathematics and Institute for Physical Science and Technology University of Maryland College Park, MD 20742 USA [email protected]
J.E. Marsden Control and Dynamical Systems Mail Code 107-81 California Institute of Technology Pasadena, CA 91125 USA [email protected]
L. Sirovich Division of Applied Mathematics Brown University Providence, RI 02912 USA [email protected]
Mathematics Subject Classification (2000): 70-01, 70-02, 70-08, 76-02, 76D05, 76D06, 76D07, 76D08, 76D45 Library of Congress Control Number: 2005923507 ISBN-10: 0-387-90819-6 ISBN-13: 978-0387-22197-7
Printed on acid-free paper.
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