具有对称扰动的粘性白矮星引力流体静力平衡的非线性渐近稳定性
Nonlinear Asymptotic Stability of Gravitational Hydrostatic Equilibrium for Viscous White Dwarfs with Symmetric Perturbations
摘要：
本文在三维球对称可压缩Navier-Stokes-泊松方程真空自由边界问题的框架下，证明了压力-密度关系一般状态方程的引力流体静力平衡的非线性渐近稳定性，所得结果适用于用$γ\ge 2$求解的白矮星和多面体，对于这类星体，即使是线性化的渐近稳定性结果在文献中也是没有的，据作者所知。详细的衰变率的扰动。
英文摘要：
We prove the nonlinear asymptotic stability of the gravitational hydrostatic equilibrium for the general equation of state of pressure-density relation in the framework of vacuum free boundary problem of spherically symmetric compressible Navier-Stokes-Poisson equations in three dimensions.The results apply to white dwarfs and polytropes with $γ\ge 2$, for which even the linearized asymptotic stability results are not available in literature, to the best of the authors' knowledge. Detailed decay rates of perturbations are given.
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