Browsing Faculty Works, Department of Mathematics by Title
Now showing items 5069 of 225

Damping optimization of parameter dependent mechanical systems by rational interpolation
We consider an optimization problem related to semiactive damping of vibrating systems. The main problem is to determine the best damping matrix able to minimize influence of the input on the output of the system. We use ... 
DataDriven Filtered Reduced Order Modeling Of Fluid Flows
We propose a datadriven filtered reduced order model (DDFROM) framework for the numerical simulation of fluid flows. The novel DDFROM framework consists of two steps: (i) In the first step, we use explicit ROM spatial ... 
Datadriven structured realization
(Elsevier Science Inc, 20180115) 
Deformation of a hydrophobic ferrofluid droplet suspended in a viscous medium under uniform magnetic fields
(Cambridge University Press, 201011)The effect of applied magnetic fields on the deformation of a biocompatible hydrophobic ferrofluid drop suspended in a viscous medium is investigated numerically and compared with experimental data. A numerical formulation ... 
A Degree Theory for Compact Perturbations of Monotone Type Operators and Application to Nonlinear Parabolic Problem
(Hindawi, 20170912)Let 𝑋 be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space 𝑋∗. Let 𝑇 : 𝑋 ⊇ 𝐷(𝑇) → 2𝑋∗ be maximal monotone, 𝑆:𝑋→2𝑋∗ be bounded and of type (𝑆₊), and 𝐶 : 𝐷(𝐶) → 𝑋∗ ... 
Disrupting Mosquito Reproduction and Parasite Development for Malaria Control
(PLOS, 20161215)The control of mosquito populations with insecticide treated bed nets and indoor residual sprays remains the cornerstone of malaria reduction and elimination programs. In light of widespread insecticide resistance in ... 
Draw resonance revisited
(Siam Publications, 2006)We consider the problem of isothermal fiber spinning in a Newtonian fluid with no inertia. In particular, we focus on the effect of the downstream boundary condition. For prescribed velocity, it is well known that an ... 
Dynamics of selfdriven microcantilevers
(American Institute of Physics, 20020401)The small amplitude thermal vibrations of the microcantilever of an atomic force microscope can be enhanced via a delayed feedback system. This is verified experimentally for a triangular cantilever, and modeled theoretically ... 
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 ...