论文标题
可压缩的Navier的关键规律性问题 - 在有限域中踩踏系统
Critical regularity issues for the compressible Navier--Stokes system in bounded domains
论文作者
论文摘要
我们关注的是在$ \ Mathbb {r}^d $的有限域中的Barotropic可压缩Navier-Stokes系统（带有$ d \ geq2 $）。 在关键的规律性环境中，我们为没有真空的大数据建立了本地适应性，没有真空和全球范围的良好性，以稳定的恒定平衡状态的小扰动。您的结果依赖于LAM \ {é}操作员的半群的新的最大规律性估计值 - 独立的兴趣 - 独立的兴趣 - 均具有可线性压缩的无线电式海导长海军固有量。
We are concerned with the barotropic compressible Navier-Stokes system in a bounded domain of $\mathbb{R}^d$ (with $d\geq2$). In a critical regularity setting, we establish local well-posedness for large data with no vacuum and global well-posedness for small perturbations of a stable constant equilibrium state.Our results rely on new maximal regularity estimates - of independent interest - for the semigroup of the Lam\{é} operator, and of the linearized compressible Navier-Stokes equations.
