Stephanos Venakides

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

    Education & Training
    • Ph.D., New York University 1982

    • M.S., Georgia Institute of Technology 1979

    • B.S., National Technical University of Athens (Greece) 1969

    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

    Komineas, Stavros, et al. “Traveling domain walls in chiral ferromagnets.” Nonlinearity, vol. 32, no. 7, IOP Publishing, July 2019, pp. 2392–412. Crossref, doi:10.1088/1361-6544/ab1430. Full Text

    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. Full Text

    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. Full Text

    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. Full Text

    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. Full Text

    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. Full Text

    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. Full Text

    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. Full Text

    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. Full Text

    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.