# Stephanos Venakides

- Professor of Mathematics

**External address:**104 Physics Bldg, Durham, NC 27708

**Internal office address:**Box 90320, Durham, NC 27708-0320

**Phone:**(919) 660-2815

**Office Hours:**

Tuesday and Thursday 3:00-4:00pm

Fields of work: Pure and applied mathematics, physics and biology. Specific areas: Differential equations, integrable systems, acoustic and electromagnetic scattering (especially transmission anomalies and resonances), photonic crystals, exciton polaritons and recently micromagnetics.

Invited as one of the three Abel lecturers in the award of the Abel Prize to Peter Lax, The Norwegian Academy of Science and Letters, Oslo, Norway, May 2005

http://www.abelprize.no/c57575/seksjon/vis.html?tid=58729

### Selected Grants

(95-0304) The Generation of Dispersive Oscillations In Non-linear Systems awarded by Army Research Office (Principal Investigator). 1992 to 1995

(94-0068) Generation and Propagation of Dispersive Waves in Integrable Systems awarded by National Science Foundation (Principal Investigator). 1991 to 1994

(92-0774) The Generation and Propagation of Dispersive Oscillations in Non-Linear Systems awarded by Army Research Office (Principal Investigator). 1992 to 1993

(92-0859) Generation and Propagation of Dispensive Waves in Integrable Systems awarded by National Science Foundation (Principal Investigator). 1991 to 1993

(91-0237) Generations and Propagation of Dispersive Waves in Integrable Systems awarded by National Science Foundation (Principal Investigator). 1991 to 1992

(92-0411) Dispersive Regularization of Shocks awarded by Army Research Office (Principal Investigator). 1991 to 1992

(91-0508) Dispersive Regularization of Shocks awarded by Army Research Office (Principal Investigator). 1991

(89-0480) Nonlinear Oscillations/ Completely Integrable Systems awarded by National Science Foundation (Principal Investigator). 1987 to 1990

(88-0164) Nonlinear Oscillations/ Completely Integrable Systems awarded by National Science Foundation (Principal Investigator). 1987 to 1989

(87-0215) Nonlinear Oscillations/ Completely Integrable Systems awarded by National Science Foundation (Principal Investigator). 1987 to 1988

## Pages

Tovbis, A, and Venakides, S. "Semiclassical limit of the scattering transform for the focusing nonlinear Schrödinger equation." *International Mathematics Research Notices* 2012.10 (2012): 2212-2271.
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Shipman, SP, and Venakides, S. "An exactly solvable model for nonlinear resonant scattering." *Nonlinearity* 25.9 (2012): 2473-2501.
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Tovbis, A, and Venakides, S. "Nonlinear steepest descent asymptotics for semiclassical limit of Integrable systems: Continuation in the parameter space." *Communications in Mathematical Physics* 295.1 (2010): 139-160.
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Layton, AT, Toyama, Y, Yang, G-Q, Edwards, GS, Kiehart, DP, and Venakides, S. "Drosophila morphogenesis: tissue force laws and the modeling of dorsal closure." *HFSP J* 3.6 (December 2009): 441-460.
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Tovbis, A, and Venakides, S. "Determinant form of the complex phase function of the steepest descent analysis of Riemann-Hilbert problems and its application to the focusing nonlinear schrödinger equation." *International Mathematics Research Notices* 2009.11 (2009): 2056-2080.
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Lefew, WR, Venakides, S, and Gauthier, DJ. "Accurate description of optical precursors and their relation to weak-field coherent optical transients." *Physical Review A - Atomic, Molecular, and Optical Physics* 79.6 (2009).
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Tovbis, A, and Venakides, S. "Determinant form of modulation equations for the semiclassical focusing Nonlinear Schr\" odinger equation." (2009).

Peralta, XG, Toyama, Y, Hutson, MS, Montague, R, Venakides, S, Kiehart, DP, and Edwards, GS. "Upregulation of forces and morphogenic asymmetries in dorsal closure during Drosophila development." *Biophysical Journal* 92.7 (April 2007): 2583-2596.
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Peralta, XG, Toyama, Y, Hutson, MS, Montague, R, Venakides, and S, Kiehart
and, DP, Edwards, GS. "Resiliency, coordination, and synchronization of dorsal closure during Drosophila
morphogenesis." *Biophysical Journal* 92 (April 2007): 2583-2596. (Academic Article)

Tovbis, A, Venakides, S, and Zhou, X. "Semiclassical focusing nonlinear schrödinger equation i: Inverse scattering map and its evolution for radiative initial data." *International Mathematics Research Notices* 2007 (2007).
Full Text