Initial-boundary value problems in fluid dynamics modeling

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Title: Initial-boundary value problems in fluid dynamics modeling
Author: Zhao, Kun
Abstract: This thesis is devoted to studies of initial-boundary value problems (IBVPs) for systems of partial differential equations (PDEs) arising from fluid mechanics modeling, especially for the compressible Euler equations with frictional damping, the Boussinesq equations, the Cahn-Hilliard equations and the incompressible density-dependent Navier-Stokes equations. The emphasis of this thesis is to understand the influences to the qualitative behavior of solutions caused by boundary effects and various dissipative mechanisms including damping, viscosity and heat diffusion.
Type: Dissertation
Date: 2009-08-31
Publisher: Georgia Institute of Technology
Subject: Fluid dynamics
Partial differential equations
Initial-boundary value problem
Boundary value problems
Initial value problems
Fluid dynamics
Department: Mathematics
Advisor: Committee Chair: Pan, Ronghua; Committee Member: Chow, Shui-Nee; Committee Member: Dieci, Luca; Committee Member: Gangbo, Wilfrid; Committee Member: Yeung, Pui-Kuen
Degree: Ph.D.

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