Stokes equations with data in some Sobolev spaces of negative order
- 주제(키워드) Stokes equations , very weak solution
- 발행기관 서강대학교 수학과대학원
- 지도교수 김현석
- 발행년도 2009
- 학위수여년월 2009. 2
- 학위명 석사
- 실제URI http://www.dcollection.net/handler/sogang/000000045091
- 본문언어 영어
초록/요약
We consider the stationary Stokes equations and Laplace equation in a bounded smooth domain in R^n. We prove the existence of unique very weak solutions of the Drichlet problems for any boundary data in some Sobolev space.
more목차
1 Introduction = 1
2 Preliminaries = 3
2.1 Sobolev spaces = 3
2.2 Boundary Sobolev spaces = 4
3 Laplace equation = 7
3.1 Weak solutions = 7
3.2 Very weak solutions = 8
4 Stokes equations = 15
4.1 Weak solutions = 15
4.2 Very weak solutions = 17
