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991.
Anders Björn 《Potential Analysis》2007,27(4):381-387
We characterize regular boundary points for p-harmonic functions using weak barriers. We use this to obtain some consequences on boundary regularity. The results also
hold for -harmonic functions under the usual assumptions on , and for Cheeger p-harmonic functions in metric spaces.
相似文献
992.
《Discrete Mathematics》2023,346(5):113303
As widely regarded, one of the most classical and remarkable tools to measure the asymptotic normality of combinatorial statistics is due to Harper's real-rooted method proposed in 1967. However, this classical theorem exists some obvious shortcomings, for example, it requests all the roots of the corresponding generating function, which is impossible in general.Aiming to overcome this shortcoming in some extent, in this paper we present an improved asymptotic normality criterion, along with several variant versions, which usually just ask for one coefficient of the generating function, without knowing any roots. In virtue of these new criteria, the asymptotic normality of some usual combinatorial statistics can be revealed and extended. Among which, we introduce the applications to matching numbers and Laplacian coefficients in detail. Some relevant conjectures, proposed by Godsil (Combinatorica, 1981) and Wang et al. (J. Math. Anal. Appl., 2017), are generalized and verified as corollaries. 相似文献
993.
The authors are concerned with the sharp interface limit for an incompressible Navier-Stokes and Allen-Cahn coupled system in this paper. When the thickness of the diffuse interfacial zone, which is parameterized by ε, goes to zero, they prove that a solution of the incompressible Navier-Stokes and Allen-Cahn coupled system converges to a solution of a sharp interface model in the L∞(L2) ∩ L2(H1) sense on a uniform time interval independent of the smal... 相似文献
994.
Jiajie Li Shengfeng Zhu Xiaoqin Shen 《Numerical Methods for Partial Differential Equations》2023,39(2):1604-1634
For shape optimization of fluid flows governed by the Navier–Stokes equation, we investigate effectiveness of shape gradient algorithms by analyzing convergence and accuracy of mixed finite element approximations to both the distributed and boundary types of shape gradients. We present convergence analysis with a priori error estimates for the two approximate shape gradients. The theoretical analysis shows that the distributed formulation has superconvergence property. Numerical results with comparisons are presented to verify theory and show that the shape gradient algorithm based on the distributed formulation is highly effective and robust for shape optimization. 相似文献
995.
Convergence Rate of Solutions to a Hyperbolic Equation with $p(x)$-Laplacian Operator and Non-Autonomous Damping 下载免费PDF全文
This paper concerns the convergence rate of solutions to a hyperbolic
equation with $p(x)$-Laplacian operator and non-autonomous damping. We apply the Faedo-Galerkin method to establish the existence of global solutions,
and then use some ideas from the study of second order dynamical system to
get the strong convergence relationship between the global solutions and the
steady solution. Some differential inequality arguments and a new Lyapunov
functional are proved to show the explicit convergence rate of the trajectories. 相似文献
996.
卫星三轴姿态确定系统的光纤陀螺/星敏感器组合技术研究 总被引:8,自引:0,他引:8
为了满足卫星三轴姿态确定的精度要求,提出了基于状态估计法的星敏感器和光纤陀螺组合的方案,并设计了相应姿态确定算法。通过仿真证明:此方案能达到高精度卫星姿态确定系统的要求。 相似文献
997.
Axisymmetric viscous fluid flows past spheroids are considered. The time-independent complete Navier-Stokes equations written in a spherical coordinate system are used for describing the flow. The problem is solved by the stabilization method on the basis of a variable direction scheme. The input coordinate system is transformed in order to construct a regular computational grid. As a result of the numerical investigation, the stream patterns of flow past elongated and oblate spheroids are obtained for various values of the determining parameters. Numerical values of the dimensions of the circulation zone and the drag coefficient are given for various values of the spheroid semi-axis ratio in the domain of moderate Reynolds numbers. 相似文献
998.
饱和地基上含刚核弹性圆板的竖向振动分析 总被引:8,自引:0,他引:8
基于作者提出的饱和土弹性波动方程,研究了饱和地基上含刚核弹性圆板在竖向集中谐和力作用下的振动特性。首先应用Hankel积分变换求解该饱和土波动方程,然后按混合边值条件建立起一组描述含刚核弹性圆板振动的对偶积分方程,并将其化为第二类Fredholm积分方程进行数值求解。文末给出了含刚核弹性圆板在饱和地基上振动的阻抗函数随无量纲频率a0的变化曲线,并考察了土的渗透系数,弹性板含刚域的大小以及板的柔度等参数对阻抗函数的影响,得出了一些有意义的结论。 相似文献
999.
A contact problem of two elastic convex and axially symmetric solids heated (or cooled) to temperatures of different values is considered. Pertinent formulae have been derived for relations between the contact pressure, geometrical characteristics of the solids and distributions of heat flux over the contacting region. We have analysed: 1. The problem of the loss of the contact between two solids pressed together with active heat fluxes. We discuss the cases for which the contact of the axially symmetric solids can take the form of a circle, or an annulus. 2. The problem of a paradox when the mathematically well posed contact problem of thermoelasticity leads to a physically unacceptable solution with a region of overlapping materials. Here we discuss a generalization of the cooled sphere paradox. The heat flux functions are continuously differentiable, of constant sign. The conditions have been derived for the cases when the paradox can be avoided. 相似文献
1000.
M. Yu. Plotnikov A. K. Rebrov 《Journal of Applied Mechanics and Technical Physics》2005,46(5):658-663
A supersonic flow of a binary mixture of gases in a wide range of rarefaction (from a flow with a Knudsen number K
n
= 0.1 to a free-molecular flow) around a cylinder is studied by means of direct statistical Monte Carlo simulations (DSMC method). The influence of a small fraction of heavy particles in a light gas flow on the region of significant nonequilibrium near the cylinder and on the heat flux is considered.__________Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 46, No. 5, pp. 53–59, September–October, 2005. 相似文献