This paper studies the stability of the rarefaction wave for Navier-Stokes equations in the half-line without any smallness condition. When the boundary value is given for velocity u| x=0 = u -and the initial data have the state (v + ,u + ) at x β+β, if u -<u + , it is excepted that there exists a s
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Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations
β Scribed by Duan, Renjun; Yang, Xiongfeng
- Book ID
- 125842389
- Publisher
- American Institute of Mathematical Sciences
- Year
- 2012
- Tongue
- English
- Weight
- 532 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1534-0392
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We consider a GALERKM scheme for the two-dimensional initial boundary-value problem (P) of the NAVIER-STOKES equations, derive a priori-estimates for the approximations in interpolation spaces between "standard spaces'' as occuring in the theory of weak solutions and obtain well-posedness of (P) wit