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 Existence and Uniqueness of Local Analytic Solution of Overdetermined Partial Differential Equation System 超定偏微分方程组局部解析解的存在唯一性(英文) 短句来源 The finite analytic solution is derived for the steady, 2-D Naver-Stokes (N-S) equations in terms of vorticity-stream function. The local analytic solution to linearized N-S equations is improved to satisfy the compatible conditions on the corner nodes. 本文导出了以涡量-流函数表示的二维恒定Navier-Stokes(N-S)方程的有限分析解,并对原有的线性化N-S方程的局部解析解进行了改进,所得的解在四个角点上满足相容性条件. 短句来源 It proved that under the well posed boundary condition, the equations exists unique local analytic solution. 并证明了在适定边界条件下 ,存在唯一的局部解析解 . 短句来源 局部解析解
 Existence and Uniqueness of Local Analytic Solution of Overdetermined Partial Differential Equation System 超定偏微分方程组局部解析解的存在唯一性(英文) 短句来源 The finite analytic solution is derived for the steady, 2-D Naver-Stokes (N-S) equations in terms of vorticity-stream function. The local analytic solution to linearized N-S equations is improved to satisfy the compatible conditions on the corner nodes. 本文导出了以涡量-流函数表示的二维恒定Navier-Stokes(N-S)方程的有限分析解,并对原有的线性化N-S方程的局部解析解进行了改进,所得的解在四个角点上满足相容性条件. 短句来源 It proved that under the well posed boundary condition, the equations exists unique local analytic solution. 并证明了在适定边界条件下 ,存在唯一的局部解析解 . 短句来源 局部解析解
 Existence and Uniqueness of Local Analytic Solution of Overdetermined Partial Differential Equation System 超定偏微分方程组局部解析解的存在唯一性(英文) 短句来源 The finite analytic solution is derived for the steady, 2-D Naver-Stokes (N-S) equations in terms of vorticity-stream function. The local analytic solution to linearized N-S equations is improved to satisfy the compatible conditions on the corner nodes. 本文导出了以涡量-流函数表示的二维恒定Navier-Stokes(N-S)方程的有限分析解,并对原有的线性化N-S方程的局部解析解进行了改进,所得的解在四个角点上满足相容性条件. 短句来源 It proved that under the well posed boundary condition, the equations exists unique local analytic solution. 并证明了在适定边界条件下 ,存在唯一的局部解析解 . 短句来源 “local analytic solution”译为未确定词的双语例句
 Existence and uniqueness of local analytic solution of the partial differential equations |k i| ux k i =A i(x,u,..., |α| ux α) (i=1,...,r, x=(x 1,...,x m),|α|=α 1+...+α m). 把柯西 -柯尔列夫斯卡娅定理推广到如下偏微分方程组 : | ki| u xki =Ai( x,u,… , |α| u xα )( i =1,… ,r,　 x =( x1 ,… ,xm) ,|α| =α1 +… +αm) . 短句来源 查询“local analytic solution”译词为用户自定义的双语例句

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 The symmetry of the solution and the form of the local analytic solution then show that π/n scattering is realized. The finite analytic solution is derived for the steady, 2-D Naver-Stokes (N-S) equations in terms of vorticity-stream function. The local analytic solution to linearized N-S equations is improved to satisfy the compatible conditions on the corner nodes. Using the finite analytic method (FAM), numerical solutions for the laminar flow over a plane symmetric sudden expansion are obtained. Four expasion ratios 2.2:1, 2.0:1, 1.8:1, 1.6:1 are computed with uniform grid sizes of 0.2 in both x and... The finite analytic solution is derived for the steady, 2-D Naver-Stokes (N-S) equations in terms of vorticity-stream function. The local analytic solution to linearized N-S equations is improved to satisfy the compatible conditions on the corner nodes. Using the finite analytic method (FAM), numerical solutions for the laminar flow over a plane symmetric sudden expansion are obtained. Four expasion ratios 2.2:1, 2.0:1, 1.8:1, 1.6:1 are computed with uniform grid sizes of 0.2 in both x and y directions. The problem of the asymmetric flow in the symmetric zone is also discussed. Several empirical formulas are presented for engineering reference, e.g. the formulas of eddy length, the attenuating process of velocity along the centerline, the transition distance, etc., after the plane symmetric sudden expansion, 本文导出了以涡量-流函数表示的二维恒定Navier-Stokes(N-S)方程的有限分析解,并对原有的线性化N-S方程的局部解析解进行了改进,所得的解在四个角点上满足相容性条件.对放大比为2.2:1, 2.0:1, 1.8:1, 6:1的平面突然放大问题,采用边长为0.2的正方形网格,求得了有限分析法的数值解,并研究了对称区域的不对称流问题.根据计算结果,给出了几组拟合经验公式,即平面对称放大后的旋涡长度、中心线流速的衰减变化及过渡段长度公式等. The following analytic pseudodifferential equations of Fuchs type have been prayed to havo local analytic solutions near t=0 under some restrictions on their characteristic roots. The properties of the solution operator on some function space from which the existence theorem follows are discussed carefully. 本文证明了:在关于特征根满足某些条件下,下列Fuchs型拟微分方程在t=0附近有局部解析解。为此,本文较仔细地讨论了解算子在某些函数空间中的性质。 The following analytic pseudodifferential equations of Fuchs type {t~m _t~m+a_1(x)t~(m+1)+···+a_m(x)-tsum t~(m-j) _t~(m-j)p_j(x,t,D_x) from j=1 to m}u=f(x,t)have been proved to have local analytic solutions near t=0 under some restrictions on their characteristic roots. The properties of the solution operator on some function space from which the existence theorem follows are discussed carefully. 本文证明了:在关于特征根满足某些条件下,下列Fuehs型拟微分方程{t~m _t~m+a_1(x)t~(m+1)+···+a_m(x)-tsum t~(m-j) _t~(m-j)p_j(x,t,D_x) from j=1 to m}u=f(x,t)在t=0附近有局部解析解。为此,本文较仔细地讨论了解算子在某些函数空间中的性质。 << 更多相关文摘 相关查询

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