# 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

Belov, S., and S. Venakides. *Long-time limit studies of an obstruction in the g-function mechanism
for semiclassical focusing NLS*. 2015.

Jackson, Aaron D., et al. “Destructive impact of imperfect beam collimation in extraordinary optical transmission..” *Journal of the Optical Society of America. A, Optics, Image Science, and Vision*, vol. 30, no. 6, June 2013, pp. 1281–90. *Epmc*, doi:10.1364/josaa.30.001281.
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Shipman, S. P., and S. Venakides. “An exactly solvable model for nonlinear resonant scattering.” *Nonlinearity*, vol. 25, no. 9, Sept. 2012, pp. 2473–501. *Scopus*, doi:10.1088/0951-7715/25/9/2473.
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Tovbis, A., and S. Venakides. “Semiclassical limit of the scattering transform for the focusing nonlinear Schrödinger equation.” *International Mathematics Research Notices*, vol. 2012, no. 10, May 2012, pp. 2212–71. *Scopus*, doi:10.1093/imrn/rnr092.
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Tovbis, A., and S. Venakides. “Nonlinear steepest descent asymptotics for semiclassical limit of Integrable systems: Continuation in the parameter space.” *Communications in Mathematical Physics*, vol. 295, no. 1, Feb. 2010, pp. 139–60. *Scopus*, doi:10.1007/s00220-009-0984-0.
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Layton, Anita T., et al. “Drosophila morphogenesis: tissue force laws and the modeling of dorsal closure..” *Hfsp Journal*, vol. 3, no. 6, Dec. 2009, pp. 441–60. *Epmc*, doi:10.2976/1.3266062.
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Lefew, W. R., et al. “Accurate description of optical precursors and their relation to weak-field coherent optical transients.” *Physical Review a Atomic, Molecular, and Optical Physics*, vol. 79, no. 6, June 2009. *Scopus*, doi:10.1103/PhysRevA.79.063842.
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Tovbis, A., and S. Venakides. “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*, vol. 2009, no. 11, Feb. 2009, pp. 2056–80. *Scopus*, doi:10.1093/imrn/rnp011.
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Tovbis, A., and S. Venakides. *Determinant form of modulation equations for the semiclassical focusing
Nonlinear Schr\" odinger equation*. 2009.

Ptitsyna, N., et al. “Fano resonance of waves in periodic slabs.” *Mathematical Methods in Electromagnetic Theory, Mmet, Conference Proceedings*, Sept. 2008, pp. 73–78. *Scopus*, doi:10.1109/MMET.2008.4580900.
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