# 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

(94-0403) The Generation and Propagation of Dispersive Oscillations in Non-linear Systems awarded by Army Research Office (Principal Investigator). 1992 to 1995

## Pages

Pérez-Arancibia, Carlos. “Domain Decomposition for Quasi-Periodic Scattering by Layered Media via Robust Boundary-Integral Equations at All Frequencies.” *Communications in Computational Physics*, vol. 26, no. 1, Global Science Press, June 2019, pp. 265–310. *Crossref*, doi:10.4208/cicp.oa-2018-0021.
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Komineas, S., et al. “Traveling domain walls in chiral ferromagnets.” *Nonlinearity*, vol. 32, no. 7, May 2019, pp. 2392–412. *Scopus*, doi:10.1088/1361-6544/ab1430.
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Aristotelous, A. C., et al. “Mathematical models of dorsal closure..” *Progress in Biophysics and Molecular Biology*, vol. 137, Sept. 2018, pp. 111–31. *Epmc*, doi:10.1016/j.pbiomolbio.2018.05.009.
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Perez-Arancibia, C., et al. “DDM solutions of quasiperiodic transmission problems in layered
media via robust boundary integral equations at all frequencies.” *Communications in Computational Physics*, Global Science Press, May 2018.

Bruno, Oscar P., et al. “Three-dimensional quasi-periodic shifted Green function throughout the spectrum, including Wood anomalies..” *Proceedings. Mathematical, Physical, and Engineering Sciences*, vol. 473, no. 2207, Nov. 2017. *Epmc*, doi:10.1098/rspa.2017.0242.
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Kiehart, Daniel P., et al. “Cell Sheet Morphogenesis: Dorsal Closure in Drosophila melanogaster as a Model System..” *Annual Review of Cell and Developmental Biology*, vol. 33, Oct. 2017, pp. 169–202. *Epmc*, doi:10.1146/annurev-cellbio-111315-125357.
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Bruno, O. P., et al. “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*, vol. 472, no. 2191, July 2016. *Scopus*, doi:10.1098/rspa.2016.0255.
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Komineas, S., et al. “Lossless polariton solitons.” *Physica D: Nonlinear Phenomena*, vol. 316, Feb. 2016, pp. 43–56. *Scopus*, doi:10.1016/j.physd.2015.10.018.
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Komineas, S., et al. “Continuous and discontinuous dark solitons in polariton condensates.” *Physical Review B Condensed Matter and Materials Physics*, vol. 91, no. 13, Apr. 2015. *Scopus*, doi:10.1103/PhysRevB.91.134503.
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Belov, S., and S. Venakides. “Smooth parametric dependence of asymptotics of the semiclassical focusing NLS.” *Analysis and Pde*, vol. 8, no. 2, Jan. 2015, pp. 257–88. *Scopus*, doi:10.2140/apde.2015.8.257.
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## Pages

Tovbis, A., et al. “Semiclassical Focusing Nonlinear Schrodinger equation in the pure radiation case: Riemann-Hilbert Problem approach.” *Integrable Systems and Random Matrices: In Honor of Percy Deift*, vol. 458, 2008, pp. 117–44.

Buckingham, R., et al. “The semiclassical focusing nonlinear Schrodinger equation.” *Recent Advances in Nonlinear Partial Differential Equations and Applications*, vol. 65, 2007, pp. 47–80.

Peralta, X. G., et al. “Force regulation during dorsal closure in Drosophila.” *Molecular Biology of the Cell*, vol. 15, American Society for Cell Biology, 2004, pp. 403A-403A.

Hutson, S., et al. “Measuring the forces that drive morphogenesis: Laser-microsurgery and quantitative modeling applied to dorsal closure in Drosophila.” *Molecular Biology of the Cell*, vol. 13, American Society for Cell Biology, 2002, pp. 476A-476A.

Reed, D., and S. Venakides. “Studying the asymptotics of Selberg-type integrals.” *Applied and Industrial Mathematics, Venice 2, 1998*, 2000, pp. 187–98.

Venakides, S. “The Korteweg-Devries Equation with Small Dispersion - Higher-Order Lax Levermore Theory.” *Journal of Applied and Industrial Mathematics*, vol. 56, 1991, pp. 255–62.

Venakides, S. “The Small Dispersion Limit of the Korteweg-Devries Equation.” *Differential Equations*, vol. 118, 1989, pp. 725–37.