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本文给出套代数上保零积或者保多项式零化线性映射的刻画,从而得到其上自同构的一些新特征和原子套代数上保零积可加映射的完全分类. 相似文献
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本文讨论小球条件在B-值独立同分布随机元迭对数律中的应用,并给出了B-值随机元迭对数律的一些结论。 相似文献
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旋涡结构的湍流统计理论是已故周培源教授在20世纪50年代率先提出来的.经过他和他的学生近半个世纪的努力,已经形成具有自身特色的湍流统计理论.在纪念周培源教授诞辰100周年的时候,特贡献本文作为对一代宗师的怀念.本文是这个理论的一个总结和概括,其中包括:作为湍流元的旋涡结构解的寻找,可能存在的不同旋涡结构解的类别和叠加,统计平均方法的选取和操作,统计平均物理量的规律的探索等. 相似文献
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We use Hopf-Lax formula to study local regularity of solution to Hamilton-Jacobi (HJ) equations of multi-dimensional space variables with convex Hamiltonian. Then we give the large time generic form of the solution to We use Hopf-Lax formula to study local regularity of solution to Hamilton-Jacobi (HJ) equations of multi-dimensional space variables with convex Hamiltonian. Then we give the large time generic form of the solution to HJ equation, i.e. for most initial data there exists a constant T > 0, which depends only on the Hamiltonian and initial datum, for t > T the solution of the IVP (1.1) is smooth except for a smooth n-dimensional hypersurface, across which Du(x, t) is discontinuous. And we show that the hypersurface tends asymptotically to a given hypersurface with rate t 1 4 .HJ equation, i.e. for most initial data there exists a constant T > 0, which depends only on the Hamiltonian and initial datum, for t > T the solution of the IVP (1.1) is smooth except for a smooth n-dimensional hypersurface, across which Du(x, t) is discontinuous. And we show that the hypersurface tends asymptotically to a given hypersurface with rate t-1/4 . 相似文献
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讨论拓扑向量空间中无约束集值优化问题的最优性条件问题.利用集值映射的Dini方向导数,在广义锥-预不变凸性条件下,建立了集值优化问题关于弱极小元和强极小元的最优性充分必要条件. 相似文献
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不定与定型Sturm-Liouville问题间特征值不等式 总被引:1,自引:0,他引:1
应用不定和定型Sturm-Liouville(S-L)问题在直和空间上的等价刻画,以及其特征值对边界和边值条件的单调依赖关系,本文建立了不定型S-L问题与一个相关的定型S-L问题之间的特征值不等式关系. 相似文献
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一类含有p-Laplacian算子的奇异边值问题解的确切个数 总被引:1,自引:0,他引:1
本文讨论了一类含有p—Laplacian算子的奇异边值问题正解的确切个数以及解的性质. 相似文献
79.
芮洪兴 《数学物理学报(B辑英文版)》2004,24(1):129-138
Consider the finite volume element method for the thermal convection problem with the infinite Prandtl number. The author uses a conforming piecewise linear function on a fine triangulation for velocity and temperature, and a piecewise constant function on a coarse triangulation for pressure. For general triangulation the optimal order H^1 norm error estimates are given. 相似文献
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Jian-yuPan Zhong-zhiBai 《计算数学(英文版)》2004,22(5):681-698
We study a class of blockwise waveform relaxation methods,and investigate its con-vergence properties in both asymptotic and monotone senses.In addition,the monotoneconvergence rates between different pointwise/blockwise waveform relaxation methods re-sulted from different matrix splittings,and those between the pointwise and blockwisewaveform relaxation methods are discussed in depth. 相似文献