Browsing Mathematics, Statistics, and Physics by Title
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Some observations regarding steady laminar flows past bluff bodies
(Royal Society, 20140728)Steady laminar flows past simple objects, such as a cylinder or a sphere, have been studied for well over a century. Theoretical, experimental and numerical methods have all contributed fundamentally towards our understanding ... 
Some remarks on constructive Yukawa theory in four dimensions
(Wichita State University, 200805)We have found an exact solution to the nonlinear Yukawa system in four dimensions, and used it to derive the time development of the system. Theorems are stated and proved regarding the essential selfadjointness of the ... 
The space of positive scalar curvature metrics on a manifold with boundary
(20141112)We study the space of Riemannian metrics with positive scalar curvature on a compact manifold with boundary. These metrics extend a fixed boundary metric and take a product structure on a collar neighbourhood of the boundary. ... 
Spatial autoregression and related spatiotemporal models
(Elsevier Inc., 200401)We propose a spatial autoregressive randomfield of order p on the spatial domain Rd for pX2 in this paper, whose univariate margins are the continuoustime autoregression of order p on the real line, and introduce a class ... 
Spectra of unitary integral operators on L2 (R) with kernels k(xy)
(World Scientific, 2013)Unitary integral transforms play an important role in mathematical physics. A primary example is the Fourier transform whose kernel is of the form k(x, y) = k(xy), i.e., of the product type. Here we consider the determination ... 
Spectral methods solution of the NavierStokes equations for steady viscous flows
(Wichita State University, 200905)A combination of Spectral Methods and Finite Differences will be used to solve the NavierStokes equations for a viscous flow past a circular cylinder and past symmetric Joukowski airfoils. Different discretizations of ... 
Spherically invariant vector random fields in space and time
(IEEE, 201112)This paper is concerned with spherically invariant or elliptically contoured vector random fields in space and/or time, which are formulated as scale mixtures of vector Gaussian random fields. While a spherically invariant ... 
A stability analysis of the harmonic continuation
(IOP PUBLISHING LTD, 201207)We consider the Cauchy problem for harmonic functions outside some disc in the plane with the Cauchy data on an interval. We obtain simple formulae for singular values of the operator solving this Cauchy problem and ... 
Stability and the inverse gravimetry problem with minimal data
(e Gruyter Open Ltd, 20201011)The inverse problem in gravimetry is to find a domain ð • inside the reference domain ω from boundary measurements of gravitational force outside ω. We found that about five parameters of the unknown ð • can be stably ... 
Stability estimates and explicit formulas for the inverse problem of determining the boundary condition from discrete data
(Wichita State University. Graduate School, 20110504) 
Stability estimates for inverse problems of some elliptic equations
(Wichita State University, 201112)In this dissertation we obtain new Carleman formulas for the solution of the Cauchy problem for equations P u = h, in Ω, uE = f , where E ⊂ ∂Ω and  E  > 0. Our elliptic operator is of the form P = [ [2∂¯ 0 ; ... 
Stability of continuation and obstacle problems in acoustic and electromagnetic scattering
(Wichita State University, 201012)Study of the Cauchy problem for Helmholtz equation is motivated by the inverse scattering theory and more generally by remote sensing. In this dissertation the increased stability of the Cauchy problem for Helmholtz ... 
Stability of coupled strings vibration system due to different boundary conditions
(IEEE, 19930602)We study the rate of convergence of a coupled wave systems under two different boundary conditions, energy absorbing in two ends for one and free or fixed boundary controls in two ends for the other one. We will observe ... 
Stability of inviscid vortices behind a circular cylinder
(American Physical Society, 20051121)In a previous work (JFM 409(2000), 1327 famillies of vortex patches in equilibrium with flow past a circular cylinder which is uniform at infinity were found using iterations for a nonlinear Poisson equation. These included ... 
The stabilization of a linearized selfexcited wave equation by an energy absorbing boundary
(IEEE, 19920624)We study the linrized selfexcited wave quation tt  A £ P(s) tg=0, where P(s)>0, P(r)eL(f), in a bounded domain 0cRI with smooth bounar r whee boun y dampig is prst. coniering the prtii Fr 1r.).of he bouM~ ron which ... 
Stationary and isotropic vector random fields on spheres
(Springer, 201208)This paper presents the characterization of the covariance matrix function of a Gaussian or secondorder elliptically contoured vector random field on the sphere which is stationary, isotropic, and mean square continuous. ... 
Stationary random fields in space and time with rational spectral densities
(IEEE, 200703)This paper introduces three spatio–temporal stationary random fields with simple correlation functions and rational spectral densities. The correlation functions have similar forms, but are defined on different space–time ... 
Stationary time series resulting from certain positive definite kernels and simulation via highorder vector autoregressive models
(Wichita State University, 201305)Vector autoregressive models have traditionally been used to model and forecast multivariate time series data, predicting future values based on previous observations. In this thesis, we introduce some multivariate time ... 
Status and latest results from MIPP
(Elsevier, 201212)We briefly review the need for high quality hadron production data. The Main Injector Particle Production experiment (MIPP) at Fermilab collected data in 2005/2006 and published final results on forward neutron production ... 
Steady axisymmetric vortex flows with swirl and shear
(Cambridge University Press, 20081001)A general procedure is presented for computing axisymmetric swirling vortices which are steady with respect to an inviscid flow that is either uniform at infinity or includes shear. We consider cases both with and without ...