Joseph Paullet, Ph.D.

Professor, Mathematics
Office Phone
Office Location
84 Benson
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 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 (1st Quarter/Winter) 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 (2nd Quarter/Spring), 2016
Collaborator: Joseph Paullet

Nonexistence for the "Missing" Similarity Boundary-Layer Flow, Appled Mathematics E-Notes - October (4th Quarter/Autumn) 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 (4th Quarter/Autumn), 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 (4th Quarter/Autumn), 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