Browsing Mathematics and Statistics Faculty Scholarship by Issue Date
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Mathematical model for outgassing and contamination
(199110)A model for the mathematical description of the processes of outgassing and contamination in a vacuum system is proposed. The underlying assumptions are diffusion in the source, convection and diffusion in the cavity, mass ... 
Curves of genus 2 with (n, n)decomposable Jacobians
(Journal of Symbolic Computation, 200105)Let C be a curve of genus 2 and ψ1: C − → E 1 a map of degree n, from C to an elliptic curveE1 , both curves defined over C. This map induces a degree n map φ1:P1 − → P 1 which we call a Frey–Kani covering. We determine ... 
Dynamic contact with normal compliance wear and discontinuous friction coefficient
(200208)We apply the recent theory of evolution inclusions forsetvalued pseudomonotone maps, developed in Kuttler and Shillor[Commun.Contemp.Math.,1(1999),pp.87–123]to the problem of dynamic frictional contact with normal compliance ... 
Ultrasonic Parameters as a Function of Absolute Hydrostatic Pressure. II. Mathematical Models of the Speed of Sound in Organic Liquids
(200309)Polynomial expressions for the speed of sound as a function of pressure for 68 different organic liquids are presented in tabular form. The liquids form a subset of those discussed in the companion paper: Ultrasonic ... 
Dynamic contact with Signorini's condition and slip rate dependent friction
(200406)Existence of a weak solution for the problem of dynamic frictional contact between a viscoelastic body and a rigid foundation is established. Contact is modelled with the Signorini condition. Friction is described by a ... 
On the automorphism groups of some AGcodes based on C_{a,b} curves
(20060115)We study Ca,b curves and their applications to coding theory. Recently, Joyner and Ksir have suggested a decoding algorithm based on the automorphisms of the code. We show how Ca,b curves can be used to construct MDS ... 
A onedimensional spot welding model
(200611)A onedimensional model is proposed for the simulations of resistance spot welding, which is a common industrial method used to join metallic plates by electrical heating. The model consists of the Stefan problem, in ... 
Special issue on algebra and computational algebraic geometry
(Albanian J. Math., 200712)Algebraic geometry is one of the main branches of modern mathematics with roots from classical Italian geometers. Its modern flavor started with Grothendieck and continued with many illustrious algebraic geometers of the ... 
A frictional contact problem for an electroviscoelastic body
(200712)A mathematical model which describes the quasistatic frictional contact between a piezoelectric body and a deformable conductive foundation is studied. A nonlinear electroviscoelastic constitutive law is used to model the ... 
Some open problems in computational algebraic geometry.
(Albanian J. Math., 20071215)The development of computational techniques in the last decade has made possible to attack some classical problems of algebraic geometry from a computational viewpoint. In this survey, we briefly describe some open ... 
Thetanulls of cyclic curves of small genus
(Albanian J. Math., 20071215)We study relations among the classical thetanulls of cyclic curves, namely curves $\X$ (of genus $g(\X )>1$ ) with an automorphism $\s$ such that $\s$ generates a normal subgroup of the group $G$ of automorphisms, and $g ... 
Regularity result for the problem of vibrations of a nonlinear beam
(200802)A model for the dynamics of the Gaonon linear beam, which allows for buckling, is studied. Existence and uniqueness of the local weak solution was established in Andrews et al. (2008). In this work the further regularity ... 
Dynamic contact of two GAO beams
(201211)The dynamic contact of two nonlinear Gao beams that are connected with a joint is modeled, analyzed, and numerically simulated. Contact is modeled with either (i) the normal compliance condition, or (ii) the unilateral ... 
A Model for Chagas Disease with Oral and Congenital Transmission
(201306)This work presents a new mathematical model for the domestic transmission of Chagas disease, a parasitic disease affecting humans and other mammals throughout Central and South America. The model takes into account congenital ... 
Cyclic curves over the reals
(eprint arXiv:1501.01559, 20141115)In this paper we study the automorphism groups of real curves admitting a regular meromorphic function f of degree p, so called real cyclic pgonal curves. When p = 2 the automorphism groups of real hyperelliptic curves ... 
Product measurability with applications to a stochastic contact problem with friction
(201412)A new product measurability result for evolution equations with random inputs, when there is no uniqueness of the ωwise problem, is established using results on measurable selection theorems for measurable multi functions. ... 
Combinatorial Algorithm for Quadratic Programs with Laplacian Structure
(Utilitas Mathematica, 2016)An algorithm is presented that uses a mostly combinatorial approach to solve a family of convex quadratic programs over box constraints. It is proved that for convex programs with the required structure, the ... 
Selfinversive polynomials, curves, and codes
(American Mathematical Society, 20160305)We study connections between selfinversive and selfreciprocal polynomials, reduction theory of binary forms, minimal models of curves, and formally selfdual codes 
Applications of Subset Selection Procedures and Bayesian Ranking Methods in Analysis of Traffic Fatality Data
(WIREs Computational Statistics, 201611)Nonparametric and parametric subset selection procedures are used in the analysis of state motor vehicle traffic fatality rates (MVTFRs), for the years 1994 through 2012, to identify subsets of states that contain the ... 
On generalized superelliptic Riemann surfaces
(eprint arXiv:1609.09576, 20161101)A closed Riemann surface X, of genus g ≥ 2, is called a generalized superelliptic curve of level n ≥ 2 if it admits an order n conformal automorphism τ so that X/hτihas genus zero and τ is central in Aut(X); the cyclic ...