Stability to the Incompressible Navier-Stokes Equations

• Main Author: Gui, Guilong. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Mathematics.; Differential equations, partial.; Partial Differential Equations.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-36028-2

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...

Table of Contents:

• 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.