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

• Κύριοι συγγραφείς: Boyer, Franck (Συγγραφέας), Fabrie, Pierre (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
• Σειρά: Applied Mathematical Sciences, 183
• Θέματα: Mathematics.; Partial differential equations.; Fluids.; Fluid mechanics.; Partial Differential Equations.; Engineering Fluid Dynamics.; Fluid- and Aerodynamics.

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...

Πίνακας περιεχομένων:

• 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.-.