Article thumbnail

Two-D incompressible Euler equations

By 

Abstract

Chu Shun Yin.Thesis (M.Phil.)--Chinese University of Hong Kong, 2000.Includes bibliographical references (leaves 63-65).Abstracts in English and Chinese.Acknowledgments --- p.iAbstract --- p.iiIntroduction --- p.3Chapter 1 --- Preliminaries --- p.8Chapter 2 --- Singular Integrals --- p.15Chapter 2.1 --- Marcinkiewicz Integral --- p.15Chapter 2.2 --- Decomposition in cubes of open sets in Rn --- p.17Chapter 2.3 --- Interpolation Theorem for Lp --- p.18Chapter 2.4 --- Singular Integrals on homogeneous of degree 0 --- p.25Chapter 3 --- Solutions to the Euler Equations --- p.36Chapter 3.1 --- Existence and Uniqueness of smooth solutions for Euler Equations --- p.36Chapter 3.2 --- Rate of Convergence and Decay in Time --- p.43Chapter 3.2.1 --- Rate of Convergence --- p.43Chapter 3.2.2 --- Lp Decay for Solutions of the Navier-Stokes Equations --- p.46Chapter 3.3 --- Weak Solution to the Euler Equations --- p.48Chapter 3.3.1 --- Weak Solution to the Velocity Formulation --- p.49Chapter 3.3.2 --- Weak Solution to the Vorticity Formulation --- p.52Bibliography --- p.6

Topics: Fluid dynamics--Mathematics, Lagrange equations, Navier-Stokes equations
Year: 2000
OAI identifier: oai:cuhk-dr:cuhk_323132
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://library.cuhk.edu.hk/rec... (external link)
  • https://repository.lib.cuhk.ed... (external link)

  • To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.

    Suggested articles