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SMLC 220
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alexkor@math.unm.edu
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Alexander O. Korotkevich
Department of Mathematics and Statistics,
MSC01 1115, 1 University of New Mexico,
Albuquerque, NM 87131-0001 USA
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+1 (505) 277-0988
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Nonlinear waves in different media, Turbulence, Numerical simulation.
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MATH/CS 375
Show/hide previous semesters
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Sabbatical at Courant Institute for Mathematical Sciences, NYU.
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Sabbatical at Université Côte d'Azur, France.
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MATH 312
MATH 321
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MATH 579: Computational Nonlinear Waves.
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MATH/CS 375
MATH 321
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MATH/CS 375
MATH 464/514
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MATH 311
MATH 321
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MATH 561
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MATH 314
MATH 313
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MATH 311
MATH 316
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MATH 311
MATH/CS 375
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MATH/CS 375
MATH 312
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MATH 313
MATH 312
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MATH 462/512
MATH 312
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Sabbatical at LANL
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Sabbatical at LANL
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MATH 314
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MATH 375
MATH 462/512
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MATH 313
MATH 316
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MATH 462/512
MATH 311
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MATH 312
MATH 314
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MATH 316
MATH 462/512
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MATH 311
MATH 314
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Research Semester
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MATH 311
MATH 321
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MATH 314
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MATH 316
MATH 313
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Mentor for MATH 485/585, Mathematical Modeling.
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MATH 129, Calculus II.
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L.D. Landau Institute for Theoretical Physics, RAS
entered: October 1999,
graduated: June 2003,
advisor: Prof. Vladimir E. Zakharov.
Topic: Numerical Simulation of Weak Turbulence of Surface Waves.
Digest of Ph.D. thesis (in Russian, PDF). Ph.D. thesis text (in Russian, PDF).
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Moscow Institute of Physics and Technology,
Dolgoprudny, Moscow region,
entered: July 1993,
BS in Applied Mathematics and Physics: June 1997, Cum Laude
graduated with MS in Applied Mathematics and Physics: June 1999, with honours.
MS Diploma prepared at the Department for Problems of Theoretical Physics at L.D. Landau Institute for Theoretical Physics, RAS,
advisor: Prof. Vladimir E. Zakharov.
Topic: Hamiltonian Dynamics of 2D-fluid Flow in an Arbitrary Potential Field.
Text (in
Russian, PDF).
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A.O. Korotkevich A new set of efficient SMP-parallel 2D Fourier subroutines, Submitted to Computer Physics Communications.
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A.O. Korotkevich, Inverse Cascade Spectrum of Gravity Waves in the Presence of a Condensate: A Direct Numerical Simulation, Phys. Rev. Lett., 130, 264002 (2023).
arXiv:2211.16567
DOI: 10.1103/PhysRevLett.130.264002
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A.O. Korotkevich, P.M. Lushnikov, A.A. Semenova, and S.A. Dyachenko, Superharmonic Instability of Stokes Waves, Studies in Applied Mathematics, 150, 1, 119-134 (2023).
arXiv:2206.00725
DOI:10.1111/sapm.12535.
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J.W. Banks, T. Buckmaster, A.O. Korotkevich, G. Kovačič, and J. Shatah, Direct Verification of the Kinetic Description of Wave Turbulence for Finite-Size Systems Dominated by Interactions among Groups of Six Waves, Phys. Rev. Lett., 129, 034101 (2022).
arXiv:2109.02477
DOI: 10.1103/PhysRevLett.129.034101
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A.A. Semenova, S.A. Dyachenko, A.O. Korotkevich, and P.M. Lushnikov Comparison of Split-Step and Hamiltonian Integration Methods for Simulation of the Nonlinear Schrödinger Equation, Journal of Computational Physics, 427, 2, 110061 (2021).
arXiv:2008.03938
DOI: 10.1016/j.jcp.2020.110061
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A.O. Korotkevich, A.O. Prokofiev, and V.E. Zakharov On Dissipation rate of ocean waves due to white capping, JETP Letters, 109, 5, 309-315 (2019).
(Russian reference: Pis'ma v Zh. Eksp. Teor. Fiz., 109, 5, 312-319 (2019) PDF in Russian).
arXiv:1808.04953
DOI: 10.1134/S0021364019050035 (Russian text DOI: 10.1134/S0370274X19050060.)
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M. Chertkov and A.O. Korotkevich, Adiabatic approach for natural gas pipeline computations, IEEE Xplore, volume for Proceedings of 2017 IEEE 56th Annual Conference on Decision and Control (CDC), pp. 5634-5639 (2017).
arXiv:1706.00523
DOI: 10.1109/CDC.2017.8264509
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S.A. Dyachenko, A. Zlotnik, A.O. Korotkevich, and M. Chertkov, Operator splitting method for simulation of dynamic flows in natural gas pipeline networks, Physica D: Nonlinear Phenomena 361, 1-11 (2017).
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S.A. Dyachenko, P.M. Lushnikov, and A.O. Korotkevich, Branch cuts of Stokes wave on deep water. Part I: Numerical solution and Padé approximation, Studies in Applied Mathematics 137 (4), 419-472 (2016).
arXiv:1507.02784
DOI: 10.1111/sapm.12128
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A.O. Korotkevich, A.I. Dyachenko, and V.E. Zakharov, Numerical simulation of surface waves instability on a homogeneous grid, Physica D: Nonlinear Phenomena 321, 51-66 (2016).
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A.O. Korotkevich, Zh.S. Galochkina, O. Lavrova, and E.A. Coutsias,
On the comparison of energy sources: Feasibility of radio frequency and ambient light harvesting, Renewable Energy 81, 804-807 (2015).
arXiv:1510.08327
DOI: 10.1016/j.renene.2015.03.065
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A.O. Korotkevich and V.E. Zakharov, Evaluation of a spectral line width for the Phillips spectrum by means of numerical simulation, Nonlin. Processes in Geophysics 22, 325-335 (2015).
arXiv:1212.6522
DOI: 10.5194/npg-22-325-2015
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A.O. Korotkevich, P.M. Lushnikov, and H.A. Rose, Beyond the random phase approximation: Stimulated Brillouin backscatter for finite laser coherence times, Phys. of Plasmas 22, 012107 (2015).
arXiv:1105.2094
DOI: 10.1063/1.4906057
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A.O. Korotkevich, X. Ni, and A.V. Kildishev, Fast eigensolver for plasmonic metasurfaces, Optical Materials Express 4, 2, 288-299 (2014)
DOI: 10.1364/OME.4.000288
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S.A. Dyachenko, P.M. Lushnikov, and A.O. Korotkevich, The complex singularity of a Stokes wave, JETP Letters, 98, 11, 767-771 (2013)
arXiv:1311.1882
DOI: 10.7868/S0370274X13230070
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A.O. Korotkevich, K.E. Rasmussen, G. Kovačič, V. Roytburd, A.I. Maimistov, I.R. Gabitov, Optical pulse dynamics in active metamaterials with positive and negative refractive index, JOSA B, 30, 4, 1077-1084 (2013)
arXiv:1302.0096
DOI: 10.1364/JOSAB.30.001077
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A.O. Korotkevich, Direct numerical experiment on measurement of the dispersion relation for gravity waves in the presence of the condensate, JETP Letters, 97, 3, 126-130 (2013)
arXiv:1212.1965
DOI: 10.1134/S0021364013030053
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A.O. Korotkevich, Influence of the condensate and inverse cascade on the direct cascade in wave turbulence, Math. Comp. Simul., 82, 7, 1228-1238 (2012)
arXiv:0911.0741
DOI: 10.1016/j.matcom.2010.07.009
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A.O. Korotkevich and P.M. Lushnikov, Proof-of-concept implementation of the massively parallel algorithm for simulation of dispersion-managed WDM optical fiber systems, Optics Lett., 36, 10, 1851-1853 (2011)
arXiv:1101.0086
DOI: 10.1364/OL.36.001851
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A.O. Korotkevich, On the Doppler distortion of the sea-wave spectra, Physica D, 237, 21, 2767-2776 (2008)
arXiv:physics/0110009
DOI: 10.1016/j.physd.2008.04.005
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A.O. Korotkevich, Simultaneous numerical simulation of direct and inverse cascades in wave turbulence, Phys. Rev. Lett., 101, 7, 074504 (2008)
arXiv:0805.0445
DOI: 10.1103/PhysRevLett.101.074504 |
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A.O. Korotkevich, A.N. Pushkarev, D. Resio, and V.E. Zakharov, Numerical verification of the weak turbulent model for swell evolution, Eur. J. Mech. B/Fluids, 27, 4, 361-387 (2008)
arXiv:physics/0702145
DOI: 10.1016/j.euromechflu.2007.08.004
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A.O. Korotkevich, A.C. Newell, and V.E. Zakharov, Communication through plasma sheaths, J. Appl. Phys., 102, 8, 083305 (2007)
arXiv:0704.3103
DOI: 10.1063/1.2794856
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V.E. Zakharov, A.O. Korotkevich, A.N. Pushkarev, and D. Resio, Coexistence of weak and strong wave turbulence in a swell propagation, Phys. Rev. Lett., 99, 16, 164501 (2007)
arXiv:0705.2838
DOI: 10.1103/PhysRevLett.99.164501
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I.R. Gabitov, A.O. Korotkevich, A.I. Maimistov, and J.B. McMahon, Solitary waves in plasmonic Bragg gratings, Appl. Phys. A, 89, 277-281 (2007)
arXiv:nlin.PS/0702049
DOI: 10.1007/s00339-007-4102-x
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I.R. Gabitov, A.I. Maimistov, and A.O. Korotkevich, Coherent propagation of the optical pulse in a plasmonic Bragg grating (Russian version), Quantum Electronics, 37, 6, 549-553 (2007)
DOI: 10.1070/QE2007v037n06ABEH013468
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V.E. Zakharov, A.O. Korotkevich, A.N. Pushkarev and A.I. Dyachenko, Mesoscopic wave turbulence, JETP Lett., 82, 8, 487-491 (2005)
arXiv:physics/0508155
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A.I. Dyachenko, A.O. Korotkevich, V.E. Zakharov, Weak turbulent Kolmogorov spectrum for surface gravity waves, Phys. Rev. Lett., 92, 13, 134501 (2004)
arXiv:physics/0308099
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A.I. Dyachenko, A.O. Korotkevich, V.E. Zakharov, Weak turbulence of gravity waves, JETP Lett., 77, 10, 546-550 (2003).
arXiv:physics/0308101
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A.I. Dyachenko, A.O. Korotkevich, V.E. Zakharov, Decay of the monochromatic capillary wave, JETP Lett., 77, 9, 477-481 (2003)
arXiv:physics/0308100
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A.O. Korotkevich, S.A. Nikitov, Cross-phase modulation of surface magnetostatic spin waves, JETP, 89, 6, 1114-1119 (1999) (Russian reference: Zh. Eksp. Teor. Fiz., 116, 2058-2068 (1999)) (PDF in English, PDF in Russian)
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I.R. Gabitov, A.O. Korotkevich, A.I. Maimistov, and J.B. McMahon, Coherent optical pulse dynamics in nanocomposite plasmonic Bragg gratings, in a book "Dissipative Solitons: From Optics to Biology and Medicine" (Eds. N.N. Akhmediev, A. Ankiewicz), Springer (2008), Series: Lecture Notes in Physics, Vol. 751 XIII, 477 p., 349 illus., Hardcover, ISBN: 978-3-540-78216-2;
arXiv:nlin.PS/0702035
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A.O. Korotkevich, A.N. Pushkarev, D. Resio, and V.E. Zakharov
Numerical verification of the Hasselmann equation, in a book "Tsunami and Nonlinear Waves" (Ed. Anjan Kundu), Springer (2007), 316 p., 170 illus., Hardcover, ISBN: 978-3-540-71255-8;
arXiv:physics/0702034.
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A.O. Korotkevich and S. Lukaschuk, video talk Circular instability of a standing surface wave: numerical simulation and wavetank experiment, DOI: 10.14288/1.0347230 BIRS workshop "Theoretical and Computational Aspects of Nonlinear Surface Waves (16w5112), Banff, Alberta, Canada, October 30 -- November 4, (2016)
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A.O. Korotkevich, On dispersion relation for gravity waves in the presence of condensate, AIP Conf. Proc., 1389, 2767-2776 (2011)
DOI: 10.1063/1.3636825
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V.E. Zakharov, A.O. Korotkevich, and A.O. Prokofiev, On dissipation function of ocean waves due to whitecapping, AIP Conf. Proc., 1168, 1229-1231 (2009)
DOI: 10.1063/1.3241292
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A.O. Korotkevich, A.C. Newell, and V.E. Zakharov, Communication through plasma sheaths (original article), J. Appl. Phys., 102, 8, 083305 (2007)
arXiv:0704.3103
DOI: 10.1063/1.2794856
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