Modelling and optimizing a system for testing electronic circuit boards
* Stephen Y. Chen, Odile Marcotte, Mario Leonardo Morfin Ram
Davidez and Mary Pugh,
Mathematics-in-Industry Case Studies
2017 8:4
**
**
Theory of linear sweep voltammetry with diffuse charge: Unsupported electrolytes, thin films, and leaky membranes
** David Yan, Martin Z. Bazant, P. M. Biesheuvel, Mary C. Pugh, and Francis P. Dawson
Phys. Rev. E 95, 033303 (2017) **
**
A Finite Volume Method and Experimental Study of a Stator
of a Piezoelectric Traveling Wave Rotary Ultrasonic Motor
** with V. Bolborici and F.P. Dawson,
Ultrasonics, 54(2014)809-820.
*
*
Time Dependent Finite Volume
Model of Thermoelectric Devices
** with F.P. Dawson, A. El-Dieb and D. Yan, IEEE Transactions on Industry Applications,
50(2014)1:600-608.
*
*
Modeling of Composite Piezoelectric Structures with the Finite Volume Method
*

* with V. Bolborici and F.P. Dawson,
IEEE Transactions on Ultrasonics, Ferroelectrics
and Frequency Control, 59(2012)1:156-162. The
Technical Report: Modeling of Composite Piezoelectric Structures with the Finite Volume Method
has some extra explanations, formulae, and results.
*
*
A Dynamic Model of a High Temperature Arc Lamp*

* with F.P. Dawson and B. Halliop, IEEE Transactions on Industry Applications,
46(2010)6:2233-2242.
*
*
Modeling of Piezoelectric Devices with the Finite Volume Method
*

* with V. Bolborici and F.P. Dawson,
IEEE Transactions on Ultrasonics, Ferroelectrics,
and Frequency Control 57(2010)7:1673-1691.
*
*
Nonnegative solutions for a long-wave unstable thin film equation with convection
*

*with M. Chugunova and R.M. Taranets, SIAM Journal
on Mathematical Analysis, 42(2010)4:1826-1853.
*
The
Tecnical report on a long-wave unstable thin film equation with convection
has some extra results and proofs with extra details.
*
A Dynamic Model of a High Temperature Arc Lamp*

* with F.P. Dawson and B. Halliop,
IEEE Industry Applications Society Annual Meeting, 2008:1519--
1526,
*
*
Mathematical Models of Mother/Child Attachment
*

*appeared in
Fields Proceedings of
"Fields-MITACS Industrial Problems Workshop 2006"
*
*
Notes on Blowup and Long Wave Unstable Thin Film Equations
*

*appeared in
Proceedings of MSRI workshop
"Women in Mathematics: The Legacy of Ladyzhenskaya and Oleinik"
*
*
A finite locus effect diffusion model for the evolution
of a quantitative trait
*

*with J. R. Miller and M. B. Hamilton, J. Math. Bio. 52(2006)6:761-787
*
*
Selfsimilar Blowup of Unstable Thin-film Equations
*

*with D. Slepcev, Indiana Univ. Math. J. 54(2005)6:1697-1738
*
*
Global effects in Figure/Ground segregation by
a model with only local interactions
*

*with N. Rubin, preprint, 2001.
*
*
Heteroclinic orbits, mobility parameters and stability for thin film type equations
*

*with R. S. Laugesen, Elect. J. Diff. Eq. 2002(2002)95:1-29
*
*
Energy levels of steady states for thin film type equations
*

*with R. S. Laugesen, J. Diff. Eq., 182(2002)2:377-415
*
*
Advances in Random Matrix Theory, Zeta Functions, and Sphere Packing*

* with T.C. Hales and P. Sarnak,
Proc. Natl. Acad. Sci. USA 97(2000)24:12963-12964.
*
*
Finite-time Blow-up of Solutions of Some Long-wave Unstable Thin Film Equations
*

*with A. Bertozzi, Indiana Univ. Math. J. 49(2000)4:1323-1366
*
*
Linear Stability of Steady States for Thin Film and
Cahn-Hilliard Type Equations
*

*with R. Laugesen, Arch. Ration. Mech. Anal. 154(2000)1:3-51
*
*
Computational Modeling of Orientation Tuning Dynamics in Monkey
Primary Visual Cortex
*

*with D. L. Ringach, R. Shapley, and M. J. Shelley,
J. of Computational Neuroscience vol. 8 no. 2, March
2000, pp 143-159.
*
*
Properties of Steady States for Thin Film Equations *

*with R. Laugesen, EJAM 11(2000)3:293-351.
*
*
Singularity Formation in Thin Jets with Surface Tension *

* with M. Shelley, CPAM 51(1998)733-795.
*
*
Long-wave instabilities and saturation in thin film equations *

* with A. Bertozzi, CPAM 51(1998)625-661.
*
*
The Lubrication Approximation for Thin Viscous Films: Regularity
and Long Time Behavior of Weak Solutions *

* with A. Bertozzi, CPAM 49(1996)2:85-123. *
*
The Lubrication Approximation for Thin Viscous Films: the Moving
Contact Line with a `Porous Media' Cut Off of Van der Waals
Interactions *

* with A. Bertozzi, Nonlinearity, 7(1994)1535-1564. *
*
Global Solutions for Small Data to the Hele-Shaw Problem *

* with P. Constantin, Nonlinearity, 6(1993)393-416. *