带有外力项的可压等熵Navier-Stokes方程的滞弹性逼近
Anelastic Approximation of Compressible Isentropic Navier-Stokes Equations with Exterior Force
摘要: 本文给出了带有一般外力项的非齐次可压缩等熵Navier-Stokes方程在Dirichlet边界条件下当马赫数和费劳德(Froude)数趋向于零时滞弹性逼近系统的严格推导,覆盖了之前Masmoudi在J. Math. Pures Appl. 88 (2007) 230~240中的特殊外力情形。
Abstract: In this paper, we prove the anelastic approximation limit to compressible isentropic Navier-Stokes equations with exterior force and Dirichlet boundary condition, as Mach number and Froude number go to zero. This covers the result of special force case in J. Math. Pures Appl. 88 (2007) 230-240.
文章引用:窦昌胜, 王丽, 朱晨曦. 带有外力项的可压等熵Navier-Stokes方程的滞弹性逼近[J]. 应用数学进展, 2017, 6(9): 1207-1219. https://doi.org/10.12677/AAM.2017.69146

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