Joseph Paullet, Ph.D.

Joseph Paullet, Ph.D.
Professor, Mathematics
Office Phone
Office Location
84 Benson

Mailing Address:
PENN STATE BEHREND
1 PRISCHAK BUILDING
ERIE PA 16563
    Biography

    Teaching Specialties

    • Differential Equations
    • Mathematical Modeling

    Research 

    Research Interests

    • Ordinary Differential Equations
    • Nonlinear Boundary Value Problems
    • Mathematical Biology and Nonlinear Elasticity

    Funded Projects and Grants

    • Undergraduate Summer Research Program in Mathematical Biology. Previte, J.P. (principal investigator) and J.E. Paullet (co-principal investigator). National Science Foundation, Research Experiences for Undergraduates, $90,000, June 2003-May 2006.
    • Research Experience for Undergraduates Program in Mathematical Biology: Penn State Erie, The Behrend College. Paullet, J. (principal investigator) and J. Previte (co-principal investigator). National Science Foundation, Research Experiences for Undergraduates, $90,000, June 2000-May 2003.
    • Research Experience for Undergraduates Program in Mathematical Biology: Penn State Erie, The Behrend College. Panetta, J.C. (principal investigator), J. E. Paullet (co-principal investigator), and R. Bertram (co-principal investigator). National Science Foundation, Research Experiences for Undergraduates, $29,998, September 1998-August 1999.
    • Research Experience for Undergraduates Program in Mathematical Biology. Panetta, J.C. (principal investigator), J. E. Paullet (co-principal investigator), and R. Bertram (co-principal investigator). National Science Foundation, Research Experiences for Undergraduates, $30,000, July 1998.
    Publications

    Analysis of Stagnation Point Flow over a Stretching/Shrinking Surface, Differential Equations & Applications
    Collaborator: M'bagne M'bengue

    Analysis of Nanofluid Flow Past a Permeable Stretching/Shrinking Sheet, Discrete and Continuous Dynamical Systems Series B - 2020
    Collaborator: Joseph Previte

    Analysis of Stagnation Point Flow of an Upper-Convected Maxwell Fluid, Electronic Journal of Differential Equations - December 6, 2017

    A BVP nonexistence proof using Green's Theorem, Applied Mathematics Letters - January 17, 2017
    Collaborator: Joseph Previte

    Existence and a priori bounds for radial stagnation flow on a shrinking or a stretching cylinder with wall transpiration, Dynamics of Continuous, Discrete and Impulsive Systems - April, 2016
    Collaborator: Joseph Paullet

    Nonexistence for the "Missing" Similarity Boundary-Layer Flow, Appled Mathematics E-Notes - October 22, 2014

    Asymptotic behavior of solutions to a BVP from fluid mechanics, Quarterly of Applied Mathematics - September 26, 2014
    Collaborator: Susmita Sadhu, Co-Author

    Analysis of fluid flow and heat transfer over an unsteady stretching surface , NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS - October, 2012

    Comment on "Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet" , APPLIED MATHEMATICS LETTERS - August, 2012
    Collaborator: Joseph Previte, Co-Author

    An Uncountable Number of Solutions for a BVP Governing Marangoni Convection., Mathematical and Computer Modelling - 2010

    Comment on Magnetohydrodynamic Stagnation-point Flow of a Power-law Fluid Towards a Stretching Sheet., International Journal of Non-Linear Mechanics - 2010
    Collaborator: P. Weidman, Co-Author

    Existence and a-Priori Bounds for Steady Stagnation Flow Toward a Stretching Cylinder, Journal of Mathematical Analysis and Applications - 2010
    Collaborator: A. Mastroberardino

    Dual Solutions for Axisymmetric Stagnation Point Flow over a Lubricated Surface, Communications in Applied Analysis - 2008
    Collaborator: Yoshitaka Ishihara, Co-Author

    Introducing a Scavenger Onto a Predator-Prey Model., Applied Mathematics E-Notes. - 2008
    Collaborators: J. Previte, Co-Author; B. Nolting

    Analysis of Stagnation Point Flow Toward a Stretching Sheet, International Journal of Non-Linear Mechanics - 2007
    Collaborator: P. Weidman, Co-Author

    Final Steady Flow Near a Stagnation Point on a Vertical Surface in a Porous Medium., International Journal of Heat and Mass Transfer - 2006
    Collaborators: J. Previte, Co-Author; P. Weidman, Co-Author; K. Merrill; M. Beauchesne

    Nonexistence of Solutions for Reverse Radial Stagnation Flow with Transpiration, Applied Mathematics Letters - 2005
    Collaborator: P. Weidman, Co-Author

    Pattern Formation in Small Arrays of Locally Coupled Oscillators, International Journal of Bifurcation and Chaos - 2005
    Collaborators: J. Previte, Co-Author; R. Ellison; V. Gardner; J. Lepak; M. O'Malley; B. Reid; K. Vizzard

    Differential Equations: Theory and Applications with MAPLE, by D. Betounes, Zeitschrift für Angewandte Mathematik und Mechanik (Journal for Applied Mathematics and Mechanics) - 2004

    A Lotka-Volterra Three-Species Food Chain, Mathematics Magazine - 2002
    Collaborators: J. Previte, Co-Author; E. Chauvet; Z. Walls

    Ordinary Differential Equations with Applications by C. Chicone, Zeitschrift für Angewandte Mathematik und Mechanik (Journal for Applied Mathematics and Mechanics) - 2000

    Analytical Results for a BVP Describing Radial Stagnation Flow with Transpiration, Journal of Mathematical Analysis and Applications - 2000
    Collaborator: P. Weidman, Co-Author

    Measuring the Curl of Paper, College Mathematics Journal - 1999
    Collaborators: R. Bertram, Co-Author; H. Tabakovic

    On the Solutions of Electrohydrodynamic Flow in a Circular Cylindrical Conduit. Zeitschrift für Angewandte Mathematik und Mechanik, Journal for Applied Mathematics and Mechanics - 1999

    Existence and Uniqueness of Azimuthal Shear Solutions in Compressible Isotropic Nonlinear Elasticity, Mathematics and Mechanics of Solids. - 1998
    Collaborators: D. Polignone Warne, Co-Author; P. Warne, Co-Author

    Spiral Waves in Spatially Discrete λ-ω Systems, International Journal of Bifurcation and Chaos - 1998
    Collaborator: G. Ermentrout, Co-Author

    Existence and a-Priori Bounds for the Finite Torsion Solution for a Class of General Blatz-Ko Materials, Mathematics and Mechanics of Solids - 1996
    Collaborator: D. Polignone, Co-Author

    Stable Rotating Waves in Two-Dimensional Discrete Active Media, SIAM Journal on Applied Mathematics - December, 1994
    Collaborator: G. Ermentrout, Co-Author

    The Existence of Spiral Waves in an Oscillatory Reaction-Diffusion System, SIAM Journal on Applied Mathematics - October, 1994
    Collaborators: G. Ermentrout, Co-Author; W. Troy, Co-Author

    Existence and Uniqueness of a Solution for a BVP from Developmental Biology, IMA Journal of Applied Mathematics - 1993

    Education

    Ph D, Mathematics, University of Pittsburgh

    MA, Mathematics, University of Pittsburgh

    BS, Applied Mathematics, University of Pittsburgh