Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models

• Main Authors: Boyer, Franck. (Author), Fabrie, Pierre. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: Applied Mathematical Sciences, 183
• Subjects: Mathematics.; Differential equations, partial.; Hydraulic engineering.; Partial Differential Equations.; Engineering Fluid Dynamics.; Fluid- and Aerodynamics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-5975-0

The objective of this self-contained book is two-fold. First, the reader is introduced� to the modelling and� mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mat...

Table of Contents:

• Preface
• Contents
• The equations of fluid mechanics
• Analysis tools
• Sobolev spaces
• Steady Stokes equations
• Navier-Stokes equations for homogeneous fluids
• Nonhomogeneous fluids
• Boundary conditions modeling
• Classic differential operators
• Thermodynamics supplement
• References
• Index.-.