一维非单调流体模型整体解的估计

考虑中子星的一维连续模型,是由于粒子间有效的Skyrme核作用所形成.该模型由一可压缩的带有非单调状态方程的Navier-Stokes方程组的Lagrangian形式所描述.结果表明,在温度为正的情况下,尽管有非单调且非恒正不稳定的压力、黏性出现及热耗散的影响,带有混合自由边界模型方程在H2中的整体解及两个精妙的估计,这个结果对于讨论解在H2中的渐近性及H4中的整体存在性有重要的作用.

Estimates of Global Solution for a One-Dimensional Nonmonotone Fluid Model

We consider a one-dimensional continuous model of nutron star, described by a compressible Navier- Stokes system with a non-monotone equation of state, due to the effective Skyrme nuclear interaction between particles. We will show that, despite a possible destabilizing influence of the pressure, which is non-monotone and not always positive and thepresence of viscosity and a sufficient thermal dissipation, two prior estimates for our model can be obtained of the global solutions with a mixed free boundary problem, which is delicated.