# 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

Wave-breaking and Resonant Phenomena awarded by National Science Foundation (Principal Investigator). 2012 to 2018

Wave-breaking and Resonant Phenomena awarded by National Science Foundation (Principal Investigator). 2007 to 2014

Nonlinear Waves in Uniform and Periodic Media awarded by National Science Foundation (Principal Investigator). 2002 to 2008

Conference on Recent Advances in Nonlinear Partial Differential Equations awarded by National Science Foundation (Principal Investigator). 2006 to 2007

Wave Propagation in Linear and Nonlinear Photonic Band-Gap Materials awarded by Army Research Office (Principal Investigator). 1999 to 2003

Propagation of Waves in Optical and Photonic Media awarded by Army Research Office (Principal Investigator). 1996 to 2000

(95-0206) Dispersive Shocks in Continuous and Discrete Media awarded by National Science Foundation (Principal Investigator). 1995 to 1999

(97-0433) Propagation of Waves in Optical and Photonic Media awarded by Army Research Office (Principal Investigator). 1996 to 1998

(96-0451) Propagation of Waves in Optical and Photonic Media awarded by Army Research Office (Principal Investigator). 1996 to 1997

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

## Pages

Perez-Arancibia, C, Shipman, S, Turc, C, and Venakides, S. "DDM solutions of quasiperiodic transmission problems in layered media via robust boundary integral equations at all frequencies (In preparation)." (December 31, 2017).

Bruno, OP, Shipman, SP, Turc, C, and Venakides, S. "Three-dimensional quasi-periodic shifted Green function throughout the spectrum, including Wood anomalies." *Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences* 473.2207 (November 1, 2017).
Full Text

Kiehart, DP, Crawford, JM, Aristotelous, A, Venakides, S, and Edwards, GS. "Cell Sheet Morphogenesis: Dorsal Closure in Drosophila melanogaster as a Model System." *Annual review of cell and developmental biology* 33 (October 2017): 169-202.
Full Text

Bruno, OP, Shipman, SP, Turc, C, and Venakides, S. "Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space." *Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences* 472.2191 (July 1, 2016).
Full Text

Komineas, S, Shipman, SP, and Venakides, S. "Lossless polariton solitons." *Physica D: Nonlinear Phenomena* 316 (February 15, 2016): 43-56.
Full Text

Komineas, S, Shipman, SP, and Venakides, S. "Continuous and discontinuous dark solitons in polariton condensates." *Physical Review B* 91.13 (April 2015).
Full Text

Belov, S, and Venakides, S. "Smooth parametric dependence of asymptotics of the semiclassical focusing NLS." *Analysis and PDE* 8.2 (January 1, 2015): 257-288.
Full Text

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

Jackson, AD, Huang, D, Gauthier, DJ, and Venakides, S. "Destructive impact of imperfect beam collimation in extraordinary optical transmission." *Journal of the Optical Society of America A: Optics and Image Science, and Vision* 30.6 (2013): 1281-1290.
Full Text

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.
Full Text

## Pages

Tovbis, A, Venakides, S, and Zhou, X. "Semiclassical Focusing Nonlinear Schrodinger equation in the pure radiation case: Riemann-Hilbert Problem approach." 2008.

Buckingham, R, Tovbis, A, Venakides, S, and Zhou, X. "The semiclassical focusing nonlinear Schrodinger equation." 2007.

Peralta, XG, Toyama, Y, Wells, A, Tokutake, Y, Hutson, MS, Venakides, S, Kiehart, DP, and Edwards, GS. "Force regulation during dorsal closure in Drosophila." American Society for Cell Biology, November 2004.

Hutson, S, Tokutake, Y, Chang, M, Bloor, JW, Venakides, S, Kiehart, DP, and Edwards, GS. "Measuring the forces that drive morphogenesis: Laser-microsurgery and quantitative modeling applied to dorsal closure in Drosophila." American Society for Cell Biology, November 2002.

Reed, D, and Venakides, S. "Studying the asymptotics of Selberg-type integrals." 2000.

Venakides, S. "The Korteweg-Devries Equation with Small Dispersion - Higher-Order Lax Levermore Theory." 1991.

Venakides, S. "The Small Dispersion Limit of the Korteweg-Devries Equation." 1989.