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Navier-Stokes Equations: A Mathematical Analysis
Langbeschreibung
The Navier-Stokes equations - modeling the motion of viscous, incompressible Newtonian fluids - have been capturing the attention of an increasing number of mathematicians over the years and has now become one of the most intensely studied subjects in applied analysis. This project is dedicated to a complete and updated mathematical analysis of fundamental topics related to these equations. Every subject will be analyzed using different approaches. The main ideas behind them as well as their differences will also be emphasized and discussed. The book aims at being self-contained, however, it will also be supported by a vast bibliography for further reading.
Hauptbeschreibung
Covers basic facts as well as more advanced material
Inhaltsverzeichnis
I. Navier-Stokes Equations.- II. Boundary-Value Problem: Flow in Bounded Domains.- III. Boundary-Value Problem: Flow in Unbounded Domains.- IV. Time-Periodic Flow. Bounded Domains.- V. Time-Periodic Flow. Unbounded Domains.- VI. The Initial-Boundary Value Problem.- VII. Stability and Long-Time Behavior.- Bibliography.¿
Giovanni P. Galdi is Leighton E. and Mary N. Orr Professor of Engineering and Professor of Mathematics at the Department of Mechanical Engineering and Materials Science of the University of Pittsburgh, Pennsylvania, USA.
ISBN-13:
9783034804837
Veröffentl:
2019
Seiten:
495
Autor:
Giovanni P. Galdi
Format:
235x155x0 mm
Serie:
202, Monographs in Mathematics
Sprache:
Englisch