粘性流体力学的变分原理和广义变分原理
Variational Principles and Generalized Variational Principles in Hydrodynamics of Viscous Fluids
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摘要: 本文建立了不可压缩和可压缩粘性流体力学问题的变分原理,即最大功率消耗原理和它们的广义变分原理.Abstract: In this paper, the variational principles of hydrodynamic problems for the incompressible and compressible viscous fluids are established. These principles are principles of maximum power losses. Their generalized variational principles are also discussed on the basis of Lagrangian multiplier methods.
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[1] (1) Lin,C.C.(林家翘) and L.Rubinov,On the flow behind curved shocks,Journal of Mathematics and Physics,Vol.27,(1948).105-129. [2] (2) Skobeikin,V.I.,Variational principles in hydrodynamics,Soviet Physics JETP,Vol.4,No.1,(1957),68-71. [3] (3) Guderley,K.G.,An extremum principle for three-dimensional compressible inviscid flows,SIAM,Journal of Applied Mathematics,Vol.23,No.2,(1972),259-275. [4] (4) Morice,P.,Un Principe Variational et ume Méthode de Résolution Numérique par Elements Finis pour des Ecoulements Avec Frontiers Libres,Paper presented at ⅫⅠ Symposium of Dgnamics of Fluids,Kortawo,Poland,Sept.(1977). [5] (5) Manwell,A.R.,A variational principle for steady Honenergie compressible flow with finite shocks,Wave Motion,Vol.2,(1980),83-95. [6] (6) Hafez,M.and D.Lovell,Numerical solution of transonic stream function equation,AIAA Journal,vol.21,No.3,(1983). [7] (7) 钱伟长,高阶拉氏乘子法和弹性理论中更一般的广义变分原理.应用数学和力学.4,2(1983),137-150.
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