具有流入-流出边界条件的可压缩全Navier-Stokes方程的爆破准则
Blow-up criterion to the compressible full Navier-Stokes equations with inflow-outflow boundary conditions
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中文总结 AI 辅助
针对具有流入-流出边界条件的可压缩全Navier-Stokes方程，建立了强解存在性，并推导出三维情形下类似BKM准则的新正则性准则，改进了已有结果。
中文摘要 AI 辅助
我们研究了具有热传导且受流入/流出边界条件约束的可压缩Navier-Stokes方程，建立了强解的存在性。本工作的主要贡献在于推导了三维可压缩流的一个新的正则性准则，该准则可作为不可压缩流体的Beale-Kato-Majda准则的类比。值得注意的是，我们的结果改进了Valli和Zajaczkowski建立的强解结果以及Basaric、Feireisl和Mizerova提出的条件正则性框架。我们的分析扩展了Basaric、Feireisl和Mizerova的框架，从而成功推导出所需的均匀估计。
英文摘要
We investigate the compressible Navier-Stokes equations with heat conduction subject to inflow/outflow boundary conditions, establishing the existence of a strong solution. The primary contribution of this work lies in the derivation of a new regularity criterion for three-dimensional compressible flows, which serves as an analogue to the Beale-Kato-Majda criterion for incompressible fluids. Notably, our findings refine both the strong solution results established by Valli and Zajaczkowski and the conditional regularity framework proposed by Basaric, Feireisl, and Mizerova. Our analysis extends the framework of Basaric, Feireisl, and Mizerova, allowing us to successfully derive the required uniform estimates.
发表机构
- National Central University（中央大学）
- Dong-A University（东亚大学）
- National Yang Ming Chiao Tung University（国立阳明交通大学）
机构由 AI 辅助整理，请以论文原文为准。
