In this paper,we discussed the local integral solution operators of imhomogeneous Cauchy Riemann equations on an open set with piecewise C k boundary in C n,as a generalization of the solution opertators for Leray map...In this paper,we discussed the local integral solution operators of imhomogeneous Cauchy Riemann equations on an open set with piecewise C k boundary in C n,as a generalization of the solution opertators for Leray map S(z,ζ) which do not depends holomorphic on z∈D in Koppelman formula is obtained and the L s norm estimates for the solution operators are the same as that [10] in forms.展开更多
This paper, we discuss the solutions＇ characterize of Cauchy-Riemann equation and the extension phenomenon of Hartogs in C^n and, a series of new extended results of the solutions for Cauchy-Riemann equations is obta...This paper, we discuss the solutions＇ characterize of Cauchy-Riemann equation and the extension phenomenon of Hartogs in C^n and, a series of new extended results of the solutions for Cauchy-Riemann equations is obtained by using the latest developments of the solutions＇ extension. Furthermore, the case of the extension＇s limitation for the solutions is also given.展开更多
文摘基于可压缩多介质流动问题,分析AC(acoustic),MFCAV(multi fluid channel on averaged volume)和HLLC等近似Riemann解算器的优缺点,通过加权组合的方式设计一种自适应近似Riemann解算器ADRS(adaptive Riemann solver),详细介绍加权组合的自适应选取原则.将ADRS写成AC解算器的修正形式应用于健壮性好的相容中心型拉氏方法.给出Taylor Green vortex稳态流问题的误差分析等数值算例.
文摘In this paper,we discussed the local integral solution operators of imhomogeneous Cauchy Riemann equations on an open set with piecewise C k boundary in C n,as a generalization of the solution opertators for Leray map S(z,ζ) which do not depends holomorphic on z∈D in Koppelman formula is obtained and the L s norm estimates for the solution operators are the same as that [10] in forms.
基金Supported by the EDSF of Shandong Province(J04A11)
文摘This paper, we discuss the solutions＇ characterize of Cauchy-Riemann equation and the extension phenomenon of Hartogs in C^n and, a series of new extended results of the solutions for Cauchy-Riemann equations is obtained by using the latest developments of the solutions＇ extension. Furthermore, the case of the extension＇s limitation for the solutions is also given.
