Browsing Faculty Works, Department of Mathematics by Title
Now showing items 5978 of 225

Editorial: Integrative Computational Systems Biology Approaches in Immunology and Medicine
(Frontiers, 20190123) 
Effect of inertia on drop breakup under shear
(American Institute of Physics, 200101)A spherical drop, placed in a second liquid of the same density and viscosity, is subjected to shear between parallel walls. The subsequent flow is investigated numerically with a volumeoffluid continuoussurfaceforce ... 
effect of upstream boundary conditions on stability of fiber spinning in the highly elastic limit
(AIP Publishing, 200207)We consider fiber spinning for the upperconvected Maxwell fluid in the limit of a high Deborah number. We compare several choices of boundary conditions that may be imposed. In addition to the takeup speed and the upstream ... 
The emergence of fast oscillations in a reduced primitive equation model and its implications for closure theories
(20170627)The problem of emergence of fast gravitywave oscillations in rotating, stratified flow is reconsidered. Fast inertiagravity oscillations have long been considered an impediment to initialization of weather forecasts, and ... 
exact behavior of Jost functions at lowenergy
(AIP Publishing, 198801)For Schrödinger operators with central potential q(r) and angular momentuml, the behavior of the Jost function F l (k) as k→0 is investigated. It is assumed that ∫∞ 0 d r (1+r)σ‖q(r)‖<∞, where σ≥1. Situations where q is ... 
Examining Mathematics Anxiety of Undergraduates Using a BrainBased Measurement, EEG
(Scientific Research Publishing, 20190527)This paper reports on an investigation of mathematics anxiety (MA) among 40 Korean undergraduate students, using cognitive neuroscience. In Spring 2015, we collected data on correct response rates and reaction times from ... 
Existence Theorems on Solvability of Constrained Inclusion Problems and Applications
(Hindawi, 20180712)Let 𝑋 be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space 𝑋∗. Let𝑇 : 𝑋 ⊇ 𝐷(𝑇) → 2𝑋∗ be a maximal monotone operator and 𝐶 : 𝑋 ⊇ 𝐷(𝐶) → 𝑋∗ be bounded and continuous ... 
expansionfree electromagnetic solutions of KerrSchild class
(AIP Publishing, 197407)Starting with the general Kerr_Schild form of the metric tensor,d s2=_+l_l (where l is null and _ is flat space_time), a study is made for those solutions of the Einstein_Maxwell equations in which l is geodesic, shear_free, ... 
experimental observation and matching numerical simulation for the deformation and breakup of immiscible drops in oscillatory shear
(AIP Publishing, 200209)This paper describes experimental results on the way immiscible drops of a Newtonian fluid can deform and breakup when subject to oscillatory shear deformation. The paper also reports a matching threedimensional numerical ... 
factorization of scattering matrices due to partitioning of potentials in onedimensional Schrodingertype equations
(AIP Publishing, 199612)The onedimensional Schrodinger equation and two of its generalizations are considered, as they arise in quantum mechanics, wave propagation in a nonhomogeneous medium, and wave propagation in a nonconservative medium where ... 
Factors contributing to students and instructors experiencing a lack of time in college calculus
(SpringerOpen, 20170614)Background: Calculus is a foundational course for STEMintending students yet has been shown to dissuade students from pursuing STEM degrees. In this report, we examine factors related to students and instructors reporting ... 
Ferrofluids and magnetically guided superparamagnetic particles in flows: a review of simulations and modeling
(Springer Netherlands, 20170818) 
Fieldinduced motion of ferrofluid droplets through immiscible viscous media
(Cambridge University Press, 200809)The motion of a hydrophobic ferrofluid droplet placed in a viscous medium and driven by an externally applied magnetic field is investigated numerically in an axisymmetric geometry. Initially, the drop is spherical and ... 
Fine topology on function spaces
(Hindawi, 19860101)This paper studies the topological properties of two kinds of fine topologies on the space C(X,Y) of all continuous functions from X into Y. 
Firstprinciples study of several hypothetical silica framework structures
(American Physical Society, 19950915)Several hypothetical silica structures have been generated using a simulatedannealing strategy with an ab initio based covalentbonding potential. Firstprinciples totalenergy pseudopotential methods have been used to ... 
Fluid Limits of Optimally Controlled Queueing Networks
(Hindawi, 20070821)We consider a class of queueing processes represented by a Skorokhod problem coupled with a controlled point process. Posing a discounted control problem for such processes, we show that the optimal value functions converge, ... 
functional calculus for symmetric multigroup transport operator
(AIP Publishing, 197602)A rigorous treatment of the symmetric multigroup transport equation is given by developing the functional calculus for the transport operator. Von Neumann spectral theory is applied to nonorthogonal cyclic subspaces, and ... 
Glass transition seen through asymptotic expansions
(Siam Publications, 2011)Soft glassy materials exhibit the socalled glassy transition, which means that the behavior of the model at a low shear rate changes when a certain parameter (which we call the glass parameter) crosses a critical value. ... 
Global extremal conditions for multiinteger quadratic programming
(American Institute of Mathematical Sciences, 200805)Support vector machine (SVM) is a very popular method for binary data classification in data mining ( machine learning). Since the objective function of the unconstrained SVM model is a nonsmooth function, a lot of good ...