【摘要】 研究二维可压等熵Navier-Stokes-Poisson方程在压强项满足p(ρ)=aρlog~d(ρ)(其中ρ足够大,d>1和a>0)时,其弱解与弱解区域的关系.通过学习Orlicz空间和空间区域的的一些有用的结论和性质,可得到对于黏性可压二维Navier-Stokes-Poisson方程在有界光滑边界区域Ω_n(■R~2)上弱解可收敛到一般有界区域上弱解.更多还原

【Abstract】 The author studied the Navier-Stokes-Poisson equations for viscous, compressible flow in 2D with the pressure meeting p(ρ)=aρlog~d(ρ) for ρ is large enough, d>1and a>0, the realation about weak solution and the domain of weak solutions. After studing some useful conclusion and property of Orilicz spaces and space region, we can obtain an conclusion that the smoothness and bounded spatial domain about weak solution for 2D Navier-Stokes-Poisson will convergence the general bounded spatial domain.更多还原