另一个Navier-Stokes方程组的分析：弱熵解和收敛的数值格式
Analysis of an alternative Navier-Stokes system: Weak entropy solutions and a convergent numerical scheme
摘要：
我们考虑一个可压缩粘性理想气体的可替代的Navier-Stokes模型，最初在\cite{Svard18}中提出。我们推导出先验估计是足够强大的支持弱熵的系统解决方案。在这些估计的指导下，我们提出了一个有限体积格式，推导出类似的估计，并证明了网格收敛到弱熵解。此外，这个存在性证明是有效的“大”的初始数据，不需要先验假设的解决方案。
英文摘要：
We consider an alternative Navier-Stokes model for compressible viscous ideal gases, originally proposed in \cite{Svard18}. We derive a priori estimates that are sufficiently strong to support a weak entropy solution of the system. Guided by these estimates, we propose a finite volume scheme, derive the analogous estimates and demonstrate grid convergence towards a weak entropy solution. Furthermore, this existence proof is valid for "large" initial data and no a priori assumptions on the solution are needed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
