Stability to the Incompressible Navier-Stokes Equations

2013
ISBN: 978-3-642-36027-5
Verlag: Springer

Buch, Englisch, 162 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 3908 g

Reihe: Springer Theses

This thesis contains results of Dr. Guilong Gui during his PhD period with the aim to understand incompressible Navier-Stokes equations. It is devoted to the study of the stability to the incompressible Navier-Stokes equations. There is great potential for further theoretical and numerical research in this field. The techniques developed in carrying out this work are expected to be useful for other physical model equations. It is also hopeful that the thesis could serve as a valuable reference on current developments in research topics related to the incompressible Navier-Stokes equations. It was nominated by the Graduate University of Chinese Academy of Sciences as an outstanding PhD thesis.

Zielgruppe

Research

Autoren/Hrsg.

Gui, Guilong

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre

Inhaltsverzeichnis

Introduction.- Stability to the global large solutions of the Navier-Stokes equations.- Global Smooth Solutions to the 2-D inhomogeneous Navier-Stokes Equations with Variable Viscosity.- On the decay and stability to global solutions of the 3-D inhomogeneous Navier-Stokes equations.