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Research Overview
 
   
I am an applied mathematician interested in the development and application of mathematical methods to problems arising in the physical sciences. Usually, I work on problems that arise in an industrial or technological setting. I've worked on problems in microwave heating, electron beam welding, diffusion in polymers, solidification thermomechanics, thermoelastic stability and shock dynamics. Currently, my research is focused on the mathematical modeling of microelectromechanical systems (MEMS) and nanoelectromechanical systems (NEMS). Below I've provided links to PDF files of many of my papers as well as other research related links and materials.
   


 
 
MEMS/NEMS Research
Download PDF File
"Nonlocal Problems in MEMS Device Control," J.A. Pelesko and A.A. Triolo, Proceedings of Modeling and Simulation of Microsystems 2000, San Diego, CA, pp. 509-512.
Download PDF File "Analytical and Numerical Analysis of Electrostatically Actuated MEMS Devices," D. Bernstein, P. Guidotti and J.A. Pelesko, Proceedings of Modeling and Simulation of Microsystems 2000, San Diego, CA, pp. 489-492.
Download PDF File "Nonlocal Problems in MEMS Device Control," J.A. Pelesko and A.A. Triolo, Journal of Engineering Mathematics, v. 4, 2001, pp. 345-366.
Download PDF File
"Electrostatic Deflections of Circular Elastic Membranes," J.A. Pelesko and X.Y. Chen, Journal of Electrostatics, in press.
Download PDF File "Mathematical Modeling of Electrostatic MEMS with Tailored Dielectric Properties," J.A. Pelesko, SIAM Journal on Applied Mathematics, v. 62, 2002, pp. 888-908.
Download PDF File "Electrostatic Field Approximations and Implications for MEMS Devices," J.A. Pelesko, ESA 2001 Proceedings, pp. 126-137.
Download PDF File "Multiple Solutions in Electrostatic MEMS," J.A. Pelesko, Proceedings of Modeling and Simulation of Microsystems 2001, Hilton Head, SC, pp. 290-293.
Download PDF File "Periodic Solutions of a Canonical MEMS/NEMS Model," S. Ai and J.A. Pelesko, in preparation
Download PDF File "On an Equation Arising in MEMS and Nanolithography," J.A. Pelesko and G. Goldsztein, in preparation.
"Modeling MEMS and NEMS," J.A. Pelesko and D.H. Bernstein, CRC Press.
Download PDF File "Symmetry and Symmetry Breaking in Electrostatic MEMS," J.A. Pelesko, D.H. Bernstein, and J. McCuan, Proceedings of Modeling and Simulation of Microsystems 2003, San Francisco, CA, in press.
Download PDF File "Dynamics and Touchdown in Electrostatic MEMS," G. Flores, G.A. Mercado, and J.A. Pelesko, Transactions of ASME 2003, in press.

 


 
 
Other Selected Publications Available for Download
Download PDF File "A Characteristic Based Numerical Method with Tracking for Nonlinear Wave Equations," B. Bukiet, J.A.  Pelesko, X.L. Li and P.L. Sachdev, Computers and Mathematics with Applications, v. 31, #7, pp. 75-99, 1996.
Download PDF File "Generic Unfolding of the Thermoelastic Contact Instability," D.D. Quinn and J.A. Pelesko, The International Journal of Solids and Structures, v. 39, pp. 145-157, 2002..
Download PDF File "Nonlinear Stability, Thermoelastic Contact and the Barber Condition," J.A. Pelesko, ASME Journal of Applied Mechanics, v. 68, #1, pp. 28-33, 2001.