检索结果-内蒙古大学图书馆

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 2013年第3期88卷 737-760页

作者： Guedj, Vincent Kolev, Boris Yeganefar, Nader Univ Toulouse 3 Inst Univ France F-31062 Toulouse 09 France Univ Toulouse 3 Inst Math Toulouse F-31062 Toulouse 09 France CNRS LATP F-13453 Marseille 13 France Univ Aix Marseille F-13453 Marseille 13 France

We show that on an open bounded smooth strongly pseudoconvex subset of C-n, there exists a Kahler-Einstein metric with positive Einstein constant, such that the metric restricted to the Levi distribution of the boundary is conformal to the Levi form. To achieve this, we solve an associated complex Monge-Ampere equation with Dirichlet boundary condition. We also prove uniqueness of the solution subject to additional restrictions.

关键词： BOUNDS (Mathematics) SMOOTHNESS of functions PSEUDOCONVEX domains SET theory MATHEMATICAL constants PROBLEM solving DIRICHLET problem boundary value problems -- numerical solutions

来源：评论

学校读者我要写书评

暂无评论

Criteria for the unique solvability of a linear two-point boundary value problem for systems of integro-differential equations

引用

DIFFERENTIAL EQUATIONS 2013年第9期49卷 1087-1102页

作者： Dzhumabaev, D. S. Bakirova, E. A. Minist Educ & Sci Inst Math Alma Ata Kazakhstan

For a linear boundary value problem for a Fredholm integro-differential equation, we obtain necessary and sufficient conditions for the unique solvability in terms of a matrix Q (nu) (m) (h) formed on the basis of the matrices of boundary conditions, the differential part, the integral term, and a partition with increment h > 0 of the interval on which the problem is defined.

关键词： UNIQUENESS (Mathematics) LINEAR systems boundary value problems -- numerical solutions INTEGRO-differential equations FREDHOLM equations boundary value problems INTEGRALS

来源：评论

学校读者我要写书评

暂无评论

On the solution of boundary value problems with nonseparated multipoint and integral conditions

引用

DIFFERENTIAL EQUATIONS 2013年第9期49卷 1114-1125页

作者： Aida-zade, K. R. Abdullaev, V. M. Azerbaijan State Oil Acad Baku Azerbaijan Natl Acad Sci Inst Cybernet Baku Azerbaijan

We suggest a numerical method for solving systems of linear nonautonomous ordinary differential equations with nonseparated multipoint and integral conditions. By using this method, which is based on the operation of convolution of integral conditions into local ones, one can reduce the solution of the original problem to the solution of a Cauchy problem for systems of ordinary differential equations and linear algebraic equations. We establish bounded linear growth of the error of the suggested numerical schemes. numerical experiments were carried out for specially constructed test problems.

关键词： boundary value problems -- numerical solutions INTEGRALS numerical analysis LINEAR equations ORDINARY differential equations CAUCHY problem -- numerical solutions

来源：评论

学校读者我要写书评

暂无评论

On Asymptotic Behavior and Blow-Up of solutions for a Nonlinear Viscoelastic Petrovsky Equation with Positive Initial Energy

引用

JOURNAL OF FUNCTION SPACES AND APPLICATIONS 2013年第1期2013卷 1-7页

作者： Li, Gang Sun, Yun Liu, Wenjun Nanjing Univ Informat Sci & Technol Coll Math & Stat Nanjing 210044 Jiangsu Peoples R China

This paper deals with the initial boundary value problem for the nonlinear viscoelastic Petrovsky equation u(tt) + Delta(2)u - integral(t)(0)g(t - tau)Delta(2)u(x,tau)d tau - Delta u(t) - Delta u(u) + vertical bar u(t)vertical bar(m-1)u(t) = vertical bar u vertical bar(p-1)u. Under certain conditions on g and the assumption that m < p, we establish some asymptotic behavior and blow-up results for solutions with positive initial energy.

关键词： boundary value problems -- numerical solutions BLOWING up (Algebraic geometry) ASYMPTOTIC expansions NONLINEAR equations MATHEMATICS MATHEMATICAL analysis

来源：评论

学校读者我要写书评

暂无评论

Existence Results for a Fully Fourth-Order boundary value Problem

引用

JOURNAL OF FUNCTION SPACES AND APPLICATIONS 2013年第1期2013卷 1-5页

作者： Li, Yongxiang Liang, Qiuyan Northwest Normal Univ Dept Math Lanzhou 730070 Peoples R China

We discuss the existence of solution for the fully fourth-order boundary value problem u((4)) = f(t, u, u', u '',u'''), 0 < t < 1, u(0) = u(1) = u ''(0) = u ''(1) = 0. A g... 详细信息

We discuss the existence of solution for the fully fourth-order boundary value problem u((4)) = f(t, u, u', u '',u'''), 0 < t < 1, u(0) = u(1) = u ''(0) = u ''(1) = 0. A growth condition on f guaranteeing the existence of solution is presented. The discussion is based on the Fourier analysis method and Leray-Schauder fixed point theorem.

关键词： boundary value problems -- numerical solutions EXISTENCE theorems SCHAUDER bases EIGENFUNCTIONS MATHEMATICAL analysis

来源：评论

学校读者我要写书评

暂无评论

On the existence of solutions to the planar exterior Navier Stokes system

引用

JOURNAL OF DIFFERENTIAL EQUATIONS 2013年第10期255卷 2996-3019页

作者： Hillairet, Matthieu Wittwer, Peter Univ Paris 09 F-75775 Paris 16 France Univ Geneva CH-1205 Geneva Switzerland

We consider the stationary incompressible Navier Stokes equations in the exterior of a disk B subset of R-2 with non-zero Dirichlet boundary conditions on the boundary of the disk and zero boundary conditions at infinity. We prove the existence of classical solutions for an open set of boundary conditions without symmetry. (C) 2013 Elsevier Inc. All rights reserved.

关键词： NAVIER-Stokes equations DIRICHLET forms boundary value problems -- numerical solutions SYMMETRY (Mathematics) MATHEMATICAL proofs

来源：评论

学校读者我要写书评

暂无评论

A modification of the method of continuous prolongation for finding the bifurcation solutions of steady-state self-adjoint boundary value problems

引用

PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS 2012年第6期76卷 715-721页

作者： Lopanitsyn, Ye. A. Frolov, A. B. Moscow Russia

An algorithm for showing solution of systems of non-linear algebraic equations describing the steady-state behaviour of objects in the mechanics of a deformable solid is considered. The existence of limit points and simple bifurcation points on the trajectory of the solution of the system is admitted and, at these points, the Jacobian matrix of the system, assumed to be real, symmetric and continuous, degenerates. The basis of the algorithm is a transformation of the space of the arguments of the solution of systems of non-linear algebraic equations using a rotation matrix formed from the eigenvectors of the Jacobian matrix. (C) 2013 Elsevier Ltd. All rights reserved.

关键词： CONTINUOUS functions BIFURCATION theory boundary value problems -- numerical solutions ALGORITHMS LINEAR algebra ALGEBRAIC equations

来源：评论

学校读者我要写书评

暂无评论

Existence of the solutions for a class of nonlinear fractional order three-point boundary value problems with resonance

引用

boundary value problems 2012年第1期2012卷 1-13页

作者： Ouyang, Zigen Li, Gangzhao Univ South China Sch Nucl Sci & Technol Sch Math & Phys Hengyang 421001 Peoples R China

A class of nonlinear fractional order differential equation D(0+)(alpha)u(t) + f (t, u(t)) = 0, 0 < t < 1, u(0) = 0, u(1) = 1/eta(alpha-1) u(eta) is investigated in this paper, where D-0+(alpha) is the standard Riemann-Liouville fractional derivative of order 1 < alpha <= 2, 0 < eta < 1, f is an element of C([0, 1] x R, R). Using intermediate value theorem, we obtain a sufficient condition for the existence of the solutions for the above fractional order differential equations.

关键词： EXISTENCE theorems NONLINEAR theories -- numerical solutions SET theory FRACTIONAL differential equations boundary value problems -- numerical solutions FRACTIONAL calculus

来源：评论

学校读者我要写书评

暂无评论

Parity-breaking flows in precessing spherical containers

引用

Physical Review E 2013年第5期87卷 053020-053020页

作者： R. Hollerbach C. Nore P. Marti S. Vantieghem F. Luddens J. Léorat Institute of Geophysics ETH Zürich Sonneggstrasse 5 8092 Zürich Switzerland Department of Applied Mathematics University of Leeds Leeds LS2 9JT United Kingdom Laboratoire d'Informatique Pour la Mécanique et les Sciences de l'Ingénieur CNRS UPR 3251 BP 133 F-91403 Orsay cedex France Université Paris-Sud 11 91405 Orsay cedex France Institut Universitaire de France 103 bd Saint Michel 75005 Paris France Department of Applied Mathematics University of Colorado Boulder Colorado 80309-0526 USA Department of Mathematics Texas A&M University College Station Texas 77843-3368 USA Observatoire de Paris-Meudon place Janssen 92195 Meudon France

We present numerical solutions of the flow in precessing spheres and spherical shells with small (ri/ro=0.1) inner cores and either stress-free or no-slip inner boundary conditions. For each of these three cases we consider the sequence of bifurcations as the Reynolds number Re=ro2Ω/ν is increased up to ∼1280, focusing particular attention on bifurcations that break the antipodal symmetry U(−r)=−U(r). All three cases have steady and time-periodic symmetric solutions at smaller Re, and quasiperiodic asymmetric solutions at larger Re, but the details of the transitions differ, and include also periodic asymmetric and quasiperiodic symmetric solutions in some of the cases.

关键词： BROKEN symmetry (Physics) SPHERICAL shells (Engineering) PHASE transformations (Physics) boundary value problems -- numerical solutions BIFURCATION theory REYNOLDS number

来源：评论

学校读者我要写书评

暂无评论

FRICTION FACTOR CORRELATIONS FOR COMPRESSIBLE GASEOUS FLOW IN A CONCENTRIC MICRO ANNULAR TUBE

引用

numerical HEAT TRANSFER PART A-APPLICATIONS 2012年第3期61卷 163-179页

作者： Hong, Chungpyo Asako, Yutaka Suzuki, Koichi Faghri, Mohammad Tokyo Univ Sci Dept Mech Engn Noda Chiba 2788510 Japan Tokyo Metropolitan Univ Dept Mech Engn Tokyo 158 Japan Univ Rhode Isl Dept Mech Ind & Syst Engn Kingston RI 02881 USA

Compressible momentum and energy equations were solved numerically for concentric micro annular tubes with slip velocity and temperature jump wall boundary conditions. The results were expressed in the form of the product of friction factor and Reynolds number (***) for a quasi-fully developed condition and for the ranges of Re < 1000 and Ma < 1. The numerical methodology was based on the Arbitrary-Lagrangian-Eulerian (ALE) method. The outer tube radius ranged from 5 to 40 mu m with radius ratios of 0.2, 0.5, and 0.8. The length to hydraulic diameter ratio was more than 100. The stagnation pressure was chosen in such a way that the exit Mach number ranged from 0.1 to 1.0, and the outlet pressure was fixed at the atmospheric pressure. For the case of incompressible slip flow, *** is calculated as a function of radius ratio and Knudsen number. For high speed flows, the values of *** for compressible slip flow were higher than those for incompressible slip flow due to compressibility effects. Also, *** correlation for compressible slip flow was obtained from compressible no-slip flow and incompressible slip flow as a function of Mach and Knudsen numbers and radius ratio. In addition, a correlation for microchannel, microtube, and micro annular tube was obtained from the authors' previous work.

关键词： boundary value problems -- numerical solutions FRICTION GAS flow TUBES TEMPERATURE effect RAYLEIGH number ATMOSPHERIC pressure COMPRESSIBILITY MOMENTUM (Mechanics)

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：