关于有限喷管中带热传导的一维稳态Euler系统在热传导系数趋于零时的奇异层
On the singular layer for the 1-D steady Euler system with heat conductivity in a finite nozzle as the heat conduction coefficient vanishes
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中文总结 AI 辅助
本文研究有限喷管中带热传导的一维稳态Euler系统在热传导系数趋于零时的奇异极限，建立了热传导解的存在性，发现端点边界层，按入口状态和出口压力将解分类为纯超声速、纯亚声速和跨声速解，并推导了边界层方程。
中文摘要 AI 辅助
本文研究了有限喷管中带热传导的一维稳态可压缩Euler系统的奇异极限问题。已建立了热传导解的存在性，并且当热传导系数趋于零时，在喷管的一个或两个端点出现边界层。解的新近行为取决于入口处的状态和出口处的压力值，这将解分类为纯超声速解、纯亚声速解和跨声速解。此外，我们对解进行了形式渐近展开，并推导出了边界层方程。
英文摘要
This paper investigates the singular limit problem of the one-dimensional steady compressible Euler system with heat conduction in a finite nozzle. The existence of the heat conduction solutions were established and boundary layers at one or two nozzle endpoints occur as the coefficient of heat conductivity goes to zero. The asymptotic behavior of the solutions vary depending on the state at the entrance and the value of the pressure at the exit, which classify the solutions into purely supersonic solution, purely subsonic solution and transonic solution. Moreover, we perform a formal asymptotic expansion of solutions and derive the boundary layer equations.
发表机构
- School of Mathematics and Statistics, Xiamen University of Technology（厦门理工学院数学与统计学院）
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