Research

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

"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.

"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.

"Nonlocal Problems in MEMS Device Control," J.A. Pelesko and A.A. Triolo, Journal of Engineering Mathematics, v. 4, 2001, pp. 345-366.

"Electrostatic Deflections of Circular Elastic Membranes," J.A. Pelesko and X.Y. Chen, Journal of Electrostatics, in press.

"Mathematical Modeling of Electrostatic MEMS with Tailored Dielectric Properties," J.A. Pelesko, SIAM Journal on Applied Mathematics, v. 62, 2002, pp. 888-908.

"Electrostatic Field Approximations and Implications for MEMS Devices," J.A. Pelesko, ESA 2001 Proceedings, pp. 126-137.

"Multiple Solutions in Electrostatic MEMS," J.A. Pelesko, Proceedings of Modeling and Simulation of Microsystems 2001, Hilton Head, SC, pp. 290-293.

"Periodic Solutions of a Canonical MEMS/NEMS Model," S. Ai and J.A. Pelesko, in preparation

"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.

"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.

"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

"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.

"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..

"Nonlinear Stability, Thermoelastic Contact and the Barber Condition," J.A. Pelesko, ASME Journal of Applied Mechanics, v. 68, #1, pp. 28-33, 2001.

	MEMS/NEMS Research
	"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.
	"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.
	"Nonlocal Problems in MEMS Device Control," J.A. Pelesko and A.A. Triolo, Journal of Engineering Mathematics, v. 4, 2001, pp. 345-366.
	"Electrostatic Deflections of Circular Elastic Membranes," J.A. Pelesko and X.Y. Chen, Journal of Electrostatics, in press.
	"Mathematical Modeling of Electrostatic MEMS with Tailored Dielectric Properties," J.A. Pelesko, SIAM Journal on Applied Mathematics, v. 62, 2002, pp. 888-908.
	"Electrostatic Field Approximations and Implications for MEMS Devices," J.A. Pelesko, ESA 2001 Proceedings, pp. 126-137.
	"Multiple Solutions in Electrostatic MEMS," J.A. Pelesko, Proceedings of Modeling and Simulation of Microsystems 2001, Hilton Head, SC, pp. 290-293.
	"Periodic Solutions of a Canonical MEMS/NEMS Model," S. Ai and J.A. Pelesko, in preparation
	"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.
	"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.
	"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
	"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.
	"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..
	"Nonlinear Stability, Thermoelastic Contact and the Barber Condition," J.A. Pelesko, ASME Journal of Applied Mechanics, v. 68, #1, pp. 28-33, 2001.