共查询到20条相似文献,搜索用时 62 毫秒
1.
Stephen J. Fromm Patrick McDonald 《Proceedings of the American Mathematical Society》1997,125(11):3293-3297
We examine solutions of two related boundary value problems for smooth domains in Euclidean space which arise from variational problems in probability. We show that the existence of solutions to each problem implies that the domain is a sphere.
2.
TANGWEIJUN 《高校应用数学学报(英文版)》1997,12(4):427-440
In this paper, a new method of boundary reduction is proposed, which reduces thesteady-state heat transfer equation with radiation. Moreover, a boundary element method is pre-sented for its solution and the error estimates of the numerical approximations are given. 相似文献
3.
Jet Wimp 《Applicable analysis》2013,92(4):305-316
We prove that the solution of a parabolic free boundary problem, arising from a model for some isothermal equimolal non-cathalytic reactions between a fluid and a solid (e.g. oxidization), converges to the solution of the pseudo-steady-state approximation. 相似文献
4.
韩厚德 《高等学校计算数学学报(英文版)》1992,(1)
A Signorini problem in linear elasticity is reduced to a variational inequality on the boundary, and a boundary element approach is described for the numerical approximation of its solution; an error estimate is also given. 相似文献
5.
韩厚德 《高等学校计算数学学报(英文版)》1994,(1)
In this paper, a new numerical method for the Signorini problem in three-dimensional elasticity is presented. The problem is reduced to a boundary variational inequality based on a new representation of the derivative of the doublelayer potential. Furthermore, a boundary element procedure is described for the numerical approximation of its solution and an abstract error estimate is given. 相似文献
6.
Lian-Xi Ku 《Southeast Asian Bulletin of Mathematics》2000,24(3):375-382
In this note, we prove that, for Robins boundary value problem, a unique solution exists if fx(t, x, x), fx(t, x, x), (t), and (t) are continuous, and fx -(t), fx -(t), 4(t) 2 + 2(t) ++ 2(t), and 4(t) 2 + 2(t) + 2(t).AMS Subject Classification (2000) 34B15 相似文献
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鲁世平 《高校应用数学学报(英文版)》2000,15(2):137-142
Abstract. In this paper,a kind of boundary value problems for Volterra functional differential e-quation is studied. 相似文献
10.
一类奇摄动半线性边值问题 总被引:2,自引:0,他引:2
研究了一类奇摄动半线性边值问题解的边界层性质。在适当的条件下,通过构造边界层函数,得到了问题解的形式近似式,并利用微分方程的最大值原理证明了该形式近似式的一致有效性。 相似文献
11.
接触问题是固体力学领域的一个重要问题.也是工程实际中经常遇到的问题之一,而解决接触问题有多种方法.本文给出一个带摩擦的Signorini边值问题及其等价的变分不等式,并证明它们的等价性,从而可以把带摩擦的接触问题的偏微分方程通过相应变分不等式加以解决。 相似文献
12.
By coincidence degree,the existence of solution to the boundary value problem of a generalized Liénard equation a(t)x"+F(x,x′)x′+g(x)=e(t),x(0)=x(2π),x′(0)=x′(2π)is proved,where a∈C1[0,2π],a(t)>0(0≤t≤2π),a(0)=a(2π),F(x,y)=f(x)+α| y|β,α>0,β>0 are all constants,f∈C(R,R),e∈C[0,2π]. An example is given as an application. 相似文献
13.
In this article, we reconsider the mixed boundary value problem on the unit circle for a pair of metaanalytic and analytic functions as in Du and Wang (2008) [9]. By adopting appropriate transformations, we convert the problem into two independent boundary value problems for analytic functions. We then obtain expressions of solution and condition of solvability for the mixed boundary value problem. The forms of the solutions and the condition of solvability here are rather dissimilar to those in Du and Wang (2008) [9]. But the equivalence is established at the end of this article. 相似文献
14.
易法槐 《应用数学学报(英文版)》1998,14(1):48-57
1.IntroductionSuperconductorsofTypeIarematerialswhicharecapableofchangingfromthephaseofbeingnormalconductorstoaphasewherethereisnoresistancetothemotionoffreeelections.InnormalconductorphasethenormalizedMaxwellequations(neglectingdisplacementcurrents)aretogetherwithOhm'slawj~acEwhereuistheelectricconductivity.InasuperconductingphaseOhm'slawisnolongervalidandMaxwell'sequationsaresupplemelltedbytheGinzburg-Landaufieldequationsll].Underisothermalconditions,thechangeofphasefromsuperconductingto… 相似文献
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Asiswellknown,nonlineartwo-pointboundaryvalueproblemisaclassicalbasicproblem.Theresultsofthisproblemareusuallyratherperfect.But,somenewproofsandimprovementsoftheseresultswillbeverymeaningfulandprofittherelatedproblem.Considerthefollowingboundaryvalueproblemwhereh(t,xl,x2)andf(t,xl,x2)arecontinuous,f(t,xl)x2)isboundedfortE[0,r],--co相似文献
16.
C. J. Coleman 《Applied Mathematical Modelling》1986,10(6):445-449
This paper considers a boundary integral formulation of the Stefan problem for two spatial dimensions. This formulation has the advantage that its numerical implementation does not require the discretization of the Stefan condition. Furthermore, the formulation is capable of solving problems with complex boundaries. Several illustrative examples are given. 相似文献
17.
This paper is concerned with the solvability of a boundary value problem for a nonhomogeneous biharmonic equation. The boundary data is determined by a differential operator of fractional order in the Riemann-Liouville sense. The considered problem is a generalization of the known Dirichlet and Neumann problems. 相似文献
18.
Miroslav Dont 《Applications of Mathematics》2000,45(1):41-68
The Fourier problem on planar domains with time variable boundary is considered using integral equations. A simple numerical method for the integral equation is described and the convergence of the method is proved. It is shown how to approximate the solution of the Fourier problem and how to estimate the error. A numerical example is given. 相似文献
19.
The boundary value problems of a class of elliptic equation with a curveof turning point are considered. Using the method of multiple scales and thecomparison theorem, the asymptotic behavior of solution for the boundary valueproblem is studied. 相似文献
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本文处理带有两种流体的轴对称的一个自由边界问题,其中在渗流区域的上部都是油,下部是水,这是同时取油注水的一个数学模型。下面,我们将用复分析方法求出此自由边界问题的一个解,并证明其解的唯一性。 相似文献