Initial-boundary value problems in fluid dynamics modeling

Fluid dynamics;Partial differential equations;Initial-boundary value problem

Zhao, Kun ; Mathematics

University:Georgia Institute of Technology

Department:Mathematics

关键词: Fluid dynamics;    Partial differential equations;    Initial-boundary value problem;   

Others  :  https://smartech.gatech.edu/bitstream/1853/31778/1/zhao_kun_200912_phd.pdf

美国|英语

来源: SMARTech Repository

【 摘 要 】

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 thecompressible Euler equations with frictional damping, the Boussinesq equations, the Cahn-Hilliard equations and the incompressible density-dependent Navier-Stokes equations. Theemphasis of this thesis is to understand the influences to the qualitative behavior of solutions caused by boundary effects andvarious dissipative mechanisms including damping, viscosity and heat diffusion.