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Articles 23161 - 23190 of 27424

Full-Text Articles in Physical Sciences and Mathematics

Remarks On The Prandtl Equation For A Permeable Wall, R. Temam, X. Wang Jan 2000

Remarks On The Prandtl Equation For A Permeable Wall, R. Temam, X. Wang

Mathematics and Statistics Faculty Research & Creative Works

The goal of this article is to study the boundary layer for a flow in a channel with permeable walls. Observing that the Prandtl equation can be solved almost exactly in this case, we are able to derive rigorously a number of results concerning the boundary layer and the convergence of the Navier-Stokes equations to the Euler equations. We indicate also how to derive higher order terms in the inner and outer expansions with respect to the kinematic viscosity v.

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A Rieman Integral Proof Of A Generalized Riemann Lemma, William Trench Jan 2000

A Rieman Integral Proof Of A Generalized Riemann Lemma, William Trench

William F. Trench

No abstract provided.

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Uniform Convergence Of N-Dimensional Trigonometric Fourier Series., Ushangi Goginava Jan 2000

Uniform Convergence Of N-Dimensional Trigonometric Fourier Series., Ushangi Goginava

Ushangi Goginava

No abstract provided.

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On The Convergence And Summability Of $N$-Dimensional Fourier Series With Respect To The Walsh-Paley Systems In The Spaces $L\Sp P([0,1]\Sp N)$, $P\In[1,+\Infty]$, Ushangi Goginava Jan 2000

On The Convergence And Summability Of $N$-Dimensional Fourier Series With Respect To The Walsh-Paley Systems In The Spaces $L\Sp P([0,1]\Sp N)$, $P\In[1,+\Infty]$, Ushangi Goginava

Ushangi Goginava

No abstract provided.

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On The Uniform Summability Of Multiple Walsh-Fourier Series, Ushangi Goginava Jan 2000

On The Uniform Summability Of Multiple Walsh-Fourier Series, Ushangi Goginava

Ushangi Goginava

No abstract provided.

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Computing Special Values Of Partial Zeta Functions, Gautam Chinta, Paul E. Gunnells, Robert Sczech Jan 2000

Computing Special Values Of Partial Zeta Functions, Gautam Chinta, Paul E. Gunnells, Robert Sczech

Paul Gunnells

We discuss computation of the special values of partial zeta functions associated to totally real number fields. The main tool is the Eisenstein cocycle Ψ, a group cocycle for GL n (ℤ); the special values are computed as periods of Ψ, and are expressed in terms of generalized Dedekind sums. We conclude with some numerical examples for cubic and quartic fields of small discriminant.

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Wonderful Blowups Associated To Group Actions, Lev A. Borisov, Paul Gunnells Jan 2000

Wonderful Blowups Associated To Group Actions, Lev A. Borisov, Paul Gunnells

Paul Gunnells

A group action on a smooth variety provides it with the natural stratification by irreducible components of the fixed point sets of arbitrary sub-groups. We show that the corresponding maximal wonderful blowup in the sense of MacPherson-Procesi has only abelian stabilizers. The result is inspired by the abelianization algorithm of Batyrev.

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Eisenstein Series Twisted By Modular Symbols For The Group Sln, Dorian Goldfield, Paul Gunnells Jan 2000

Eisenstein Series Twisted By Modular Symbols For The Group Sln, Dorian Goldfield, Paul Gunnells

Paul Gunnells

We define Eisenstein series twisted by modular symbols for the group SLn, generalizing a construction of the first author \cite{goldfeld1, goldfeld2}. We show that, in the case of series attached to the minimal parabolic subgroup, our series converges for all points in a suitable cone. We conclude with examples for SL2 and SL3.

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The Large Deviation Principle For Coarse-Grained Processes, Richard S. Ellis, Kyle Haven, Bruce Turkington Jan 2000

The Large Deviation Principle For Coarse-Grained Processes, Richard S. Ellis, Kyle Haven, Bruce Turkington

Richard S. Ellis

The large deviation principle is proved for a class of L2-valued processes that arise from the coarse-graining of a random field. Coarse-grained processes of this kind form the basis of the analysis of local mean-field models in statistical mechanics by exploiting the long-range nature of the interaction function defining such models. In particular, the large deviation principle is used in a companion paper [8] to derive the variational principles that characterize equilibrium macrostates in statistical models of two-dimensional and quasi-geostrophic turbulence. Such macrostates correspond to large-scale, long-lived flow structures, the description of which is the goal of the statistical equilibrium …

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Triunduloids: Embedded Constant Mean Curvature Surfaces With Three Ends And Genus Zero, Karsten Grosse-Brauckmann, Robert Kusner, John M. Sullivan Jan 2000

Triunduloids: Embedded Constant Mean Curvature Surfaces With Three Ends And Genus Zero, Karsten Grosse-Brauckmann, Robert Kusner, John M. Sullivan

Robert Kusner

We announce the classification of complete almost embedded surfaces of constant mean curvature, with three ends and genus zero. They are classified by triples of points on the sphere whose distances are the asymptotic necksizes of the three ends.

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Separation Property Of Solutions For A Semilinear Elliptic Equation, Yi Liu, Yi Li, Yinbin Deng Jan 2000

Separation Property Of Solutions For A Semilinear Elliptic Equation, Yi Liu, Yi Li, Yinbin Deng

Yi Li

In this paper, we study the following elliptic problem[formula]where K(x) is a given function in Cα(n\0) for some fixed α∈(0, 1), p>1 is a constant. Some existence, monotonicity and asymptotic expansion at infinity of solutions of (*) are discussed.

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An Electromagnetic Inverse Problem In Chiral Media, Stephen R. Mcdowall Jan 2000

An Electromagnetic Inverse Problem In Chiral Media, Stephen R. Mcdowall

Mathematics Faculty Publications

We consider the inverse boundary value problem for Maxwell's equations that takes into account the chirality of a body in R3 . More precisely, we show that knowledge of a boundary map for the electromagnetic fields determines the electromagnetic parameters, namely the conductivity, electric permittivity, magnetic permeability and chirality, in the interior. We rewrite Maxwell's equations as a first order perturbation of the Laplacian and construct exponentially growing solutions, and obtain the result in the spirit of complex geometrical optics.

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Total Determination Of Material Parameters From Electromagnetic Boundary Information, M. S. (Mark Suresh) Joshi, Stephen R. Mcdowall Jan 2000

Total Determination Of Material Parameters From Electromagnetic Boundary Information, M. S. (Mark Suresh) Joshi, Stephen R. Mcdowall

Mathematics Faculty Publications

In this paper we complete the proof that the material parameters can be obtained for a chiral electromagnetic body from the boundary admittance map. We prove that from the admittance map, the parameters are uniquely determined to infinite order at the boundary. This removes the assumption of such knowledge in the result of the second author regarding interior determination for chiral media.

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Boundary Value Problems In Krein Spaces. Dedicated To The Memory Of Branko Najman, Branko Ćurgus Jan 2000

Boundary Value Problems In Krein Spaces. Dedicated To The Memory Of Branko Najman, Branko Ćurgus

Mathematics Faculty Publications

Three boundary value problems are considered in a Krein space setting.

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Two (Multi) Point Nonlinear Lyapunov Systems Associated With An Nth Order Nonlinear System Of Differential Equations - Existence And Uniqueness, Kanuri N. Murty, Gary W. Howell, G. V.R.L. Sarma Jan 2000

Two (Multi) Point Nonlinear Lyapunov Systems Associated With An Nth Order Nonlinear System Of Differential Equations - Existence And Uniqueness, Kanuri N. Murty, Gary W. Howell, G. V.R.L. Sarma

Mathematics and System Engineering Faculty Publications

This paper presents a criterion for the existence and uniqueness of solutions to two and multipoint boundary value problems associated with an nth order nonlinear Lyapunov system. A variation of parameters formula is developed and used as a tool to obtain existence and uniqueness. We discuss solution of the second order problem by the ADI method and develop a fixed point method to find the general solution of the nth order Lyapunov system. The results of Barnett (SIAM J. Appl. Anal. 24(1), 1973) are a particular case.

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On Some Length Biased Inequalities For Reliability Measures, Broderick O. Oluyede Jan 2000

On Some Length Biased Inequalities For Reliability Measures, Broderick O. Oluyede

Department of Mathematical Sciences Faculty Publications

In this note, inequalities for length biased and the original residual life function and equilibrium distribution function with monotone hazard rate and mean residual life functions are derived. We also obtain estimates of the length biased probability density function and hazard function under random censoring. Finally, the Bayesian exponential reliability estimate under length biased sampling using a conjugate prior for the scale parameter is given.

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Super-Brownian Limits Of Voter Model Clusters, Maury Bramzon, J. Theodore Cox, Jean-Francois Le Gall Jan 2000

Super-Brownian Limits Of Voter Model Clusters, Maury Bramzon, J. Theodore Cox, Jean-Francois Le Gall

Mathematics - All Scholarship

The voter model is one of the standard interacting particle systems. Two related problems for this process are to analyze its behavior, after large times t, for the sets of sites (a) sharing the same opinion as the site 0, and (b) having the opinion that was originally at 0. Results on the sizes of these sets were given in [Sa79] and [BG80]. Here, we investigate the spatial structure of these sets in d ≥ 2, which we show converge to quantities associated with super-Brownian motion, after suitable normalization. The main theorem from [CDP98] serves as an important tool for …

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Nonparametric Bayes Estimation Of Contamination Levels Using Observations From The Residual Distribution, Paul H. Kvam, Ram C. Tiwari, Jyoti N. Zalkikar Jan 2000

Nonparametric Bayes Estimation Of Contamination Levels Using Observations From The Residual Distribution, Paul H. Kvam, Ram C. Tiwari, Jyoti N. Zalkikar

Department of Math & Statistics Faculty Publications

A nonparametric Bayes estimator of the survival function is derived for right censored data where additional observations from the residual distribution are available. The estimation is motivated by data on contamination concentrations for chromium from one of the EPA's toxic waste sites. The residual sample can be produced by hot spot sampling, where only samples above a given threshold value are collected. The Dirichlet process is used to formulate prior information about the chromium contamination, and we compare the Bayes estimator of the mean concentration level to other estimators currently considered by the EPA and other sources. The Bayes estimator …

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Nonlinear Eigenvalue Problems For Higher Order Lidstone Boundary Value Problems, Paul W. Eloe Jan 2000

Nonlinear Eigenvalue Problems For Higher Order Lidstone Boundary Value Problems, Paul W. Eloe

Mathematics Faculty Publications

In this paper, we consider the Lidstone boundary value problem y(t) = λa(t)f(y(t), . . . , y(t), . . . y(t)), 0 < t < 1, y(0) = 0 = y(1), i = 0, . . . , m − 1, where (−1)f > 0 and a is nonnegative. Growth conditions are imposed on f and inequalities involving an associated Green’s function are employed which enable us to apply a well-known cone theoretic fixed point theorem. This in turn yields a λ interval on which there exists a nontrivial solution in a cone for each λ in that interval. The methods of the paper are known. The emphasis here is that f depends upon higher order derivatives. Applications are made to …

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Separation Property Of Solutions For A Semilinear Elliptic Equation, Yi Liu, Yi Li, Yinbin Deng Jan 2000

Separation Property Of Solutions For A Semilinear Elliptic Equation, Yi Liu, Yi Li, Yinbin Deng

Mathematics and Statistics Faculty Publications

In this paper, we study the following elliptic problem[formula]where K(x) is a given function in Cα(n\0) for some fixed α∈(0, 1), p>1 is a constant. Some existence, monotonicity and asymptotic expansion at infinity of solutions of (*) are discussed.

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Alternative Empirical Distributions Based On Weigted Linear Combinations Of Order Statistics, Theodore P. Hill, James Mann Jan 2000

Alternative Empirical Distributions Based On Weigted Linear Combinations Of Order Statistics, Theodore P. Hill, James Mann

Research Scholars in Residence

A class of empirical distributions is introduced which are based on various weighted linear combinations of order statistics, and which have convergence properties the classical empirical distribution does not, or which stochastically or convexly dominate the classical empirical distribution

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Investigation Of The Effectiveness Of Interface Constraints In The Solution Of Hyperbolic Second-Order Differential Equations, Paul Jerome Silva Jan 2000

Investigation Of The Effectiveness Of Interface Constraints In The Solution Of Hyperbolic Second-Order Differential Equations, Paul Jerome Silva

Theses Digitization Project

Solutions to differential equations describing the behavior of physical quantities (e.g., displacement, temperature, electric field strength) often only have finite range of validity over a subdomain. Interest beyond the subdomain often arises. As a result, the problem of making the solution compatible across the connecting subdomain interfaces must be dealt with. Four different compatibility methods are examined here for hyperbolic (time varying) second-order differential equations. These methods are used to match two different solutions, one in each subdomain along the connecting interface. The entire domain that is examined here is a unit square in the Cartesian plane. The four compatibility …

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The Edge-Isoperimetric Problem For The Square Tessellation Of Plane, Sunmi Lee Jan 2000

The Edge-Isoperimetric Problem For The Square Tessellation Of Plane, Sunmi Lee

Theses Digitization Project

The solution for the edge-isoperimetric problem (EIP) of the square tessellation of plane is investigated and solved. Summaries of the stabilization theory and previous research dealing with the EIP are stated. These techniques enable us to solve the EIP of the cubical tessellation.

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Oif Spaces, Zoltan Balogh, Harold Bennett, Dennis Burke, Gary Gruenhage, David Lutzer, Joe D. Mashburn Jan 2000

Oif Spaces, Zoltan Balogh, Harold Bennett, Dennis Burke, Gary Gruenhage, David Lutzer, Joe D. Mashburn

Mathematics Faculty Publications

A base β of a space X is called an OIF base when every element of B is a subset of only a finite number of other elements of β. We will explore the fundamental properties of spaces having such bases. In particular, we will show that in T2 spaces, strong OIF bases are the same as uniform bases, and that in T3 spaces where all subspaces have OIF bases, compactness, countable compactness, or local compactness will give metrizability.

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Countable Positive Solutions Of A Conjugate Boundary Value Problem, Paul W. Eloe, Johnny Henderson, Nickolai Kosmatov Jan 2000

Countable Positive Solutions Of A Conjugate Boundary Value Problem, Paul W. Eloe, Johnny Henderson, Nickolai Kosmatov

Mathematics Faculty Publications

In this paper we consider the conjugate type nonlinear boundary value problem (-1) n-k u (n) (t)=f(u(t)), 0

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Directed Graphs, Stephen B. Maurer , '67 Jan 2000

Directed Graphs, Stephen B. Maurer , '67

Mathematics & Statistics Faculty Works

No abstract provided.

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Two-Groups With Few Conjugacy Classes, Nigel Boston, Judy L. Walker Jan 2000

Two-Groups With Few Conjugacy Classes, Nigel Boston, Judy L. Walker

Department of Mathematics: Faculty Publications

An old question of Brauer asking how fast numbers of conjugacy classes grow is investigated by considering the least number cn of conjugacy classes in a group of order 2n. The numbers cn are computed for n ≤ 14 and a lower bound is given for c15. It is observed that cn grows very slowly except for occasional large jumps corresponding to an increase in coclass of the minimal groups Gn. Restricting to groups that are 2-generated or have coclass at most 3 allows us to extend these computations.

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A Special Quasi-Linear Mapping And Its Degree, Aki̇f Abbasov Jan 2000

A Special Quasi-Linear Mapping And Its Degree, Aki̇f Abbasov

Turkish Journal of Mathematics

In this article, for the purpose of expanding to the mappings between Banach manifolds, a degree is determined in for the mappings between Banach spaces, which are from the obvious class.

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Strongly Prime Ideals In Cs-Rings, Gonca Güngöroğlu Jan 2000

Strongly Prime Ideals In Cs-Rings, Gonca Güngöroğlu

Turkish Journal of Mathematics

We study and characterize strongly prime right ideals in CS-rings.

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On Non-Homogeneous Riemann Boundary Value Problem, Kadi̇r Kutlu Jan 2000

On Non-Homogeneous Riemann Boundary Value Problem, Kadi̇r Kutlu

Turkish Journal of Mathematics

In this paper we consider non-homogeneous Riemann boundary value problem with unbounded oscillating coefficients on a class of open rectifiable Jordan curve.

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