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1.
Lie point symmetries associated with the new (2+1)-dimensional KdV equation ut + 3uxuy + uxxy = 0 are investigated. Some similarity reductions are derived by solving the corresponding characteristic equations. Painlevé analysis for this equation is also presented and the soliton solution is obtained directly from the Bǎcklund transformation.  相似文献   
2.
This paper presents an elasto-viscoplastic consistent tangent operator (CTO) based boundary element formulation, and application for calculation of path-domain independentJ integrals (extension of the classicalJ integrals) in nonlinear crack analysis. When viscoplastic deformation happens, the effective stresses around the crack tip in the nonlinear region is allowed to exceed the loading surface, and the pure plastic theory is not suitable for this situation. The concept of consistency employed in the solution of increment viscoplastic problem, plays a crucial role in preserving the quadratic rate asymptotic convergence of iteractive schemes based on Newton's method. Therefore, this paper investigates the viscoplastic crack problem, and presents an implicit viscoplastic algorithm using the CTO concept in a boundary element framework for path-domain independentJ integrals. Applications are presented with two numerical examples for viscoplastic crack problems andJ integrals. The project supported by National Natural Science Foundation of China (9713008) and Zhejiang Natural Science Foundation Special Funds No. RC.9601  相似文献   
3.
钛氧化物具有3种物相:锐钛矿、板钛矿和金红石,其中,锐钛矿和板钛矿为室温稳定相.在温度较高的条件下会向热力学更稳定的金红石相转变。锐钛矿向金红石的相变是热力学亚稳定相向稳定相的转变,由于这种相变过程不存在平衡温度.分析研究其相变过程无论从理论方面还是从实际应用方面均具有重要的意义。  相似文献   
4.
本文讨论非线性多值算子的非紧扰动的映射定理,并给出非线性泛函方程z∈T(x)+F(x)可解性的最新结果,其中T是多值算子且(T+1/nI)-1是1-集压缩,而F是1-集压缩或γ-凝聚.所得的结果改善了[5,8,12]中的主要结果  相似文献   
5.
The regularity for a class of X-elliptic equations with lower order term
Lu+vu=-∑i,j=1 mXj^*(aij(x)Xiu)+vu=μ
is studied, where X = {X1,..., Xm} is a family of locally Lipschitz continuous vector fields, v is in certain Morrey type space and μ a nonnegative Radon measure. The HSlder continuity of the solution is proved when μ satisfies suitable growth condition, and a converse result on the estimate of μ is obtained when u is in certain HSlder class.  相似文献   
6.
本文在Hilbert空间中证明了右可逆的连续渐近非扩张型半群的遍历保核收缩存在定理,并讨论了可控的连续渐近非扩张型半群的遍历收敛定理  相似文献   
7.
The regularity for a class of X-elliptic equations with lower order term Lu+vu=-mΣi,j=1X*j(aij(x)Xiu)+vu=μis studied, where X = {X1,…, Xm} is a family of locally Lipschitz continuous vector fields, v is in certain Morrey type space and μ a nonnegative Radon measure. The HSlder continuity of the solution is proved when μ satisfies suitable growth condition, and a converse result on the estimate of # is obtained when u is in certain HSlder class.  相似文献   
8.
Lie point symmetries associated with the new (2 1)-dimensional KdV equation ut 3uxuy uxxy= 0 are investigated. Some similarity reductions are derived by solving the corresponding characteristic equations. Painleve analysis for this equation is also presented and the soliton solution is obtained directly from the Backlund transformation.  相似文献   
9.
Algebraic reflexivity introduced by Hadwin is related to linear interpolation. In this paper, the concepts of weakly algebraic reflexivity and strongly algebraic reflexivity which are also related to linear interpolation are introduced. Some properties of them are obtained and some relations between them revealed.  相似文献   
10.
利用局部多项式方法研究了误差具有异方差结构的非参数回归模型,在左截断数据下构造了回归函数的复合分位数回归估计,并得到了该估计的渐近正态性结果,最后通过模拟,在服从一些非正态分布的误差下,得到该估计比局部线性估计更有效.  相似文献   
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