GEORGE N. MAKRAKIS Professor
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Department of Mathematics & Applied Mathematics
University of Crete, Heraklion
Voutes Campus
GR 710 03 Heraklion, Greece
and
Institute of Applied and Computational Mathematics (IACM)
Foundation for Research & Technology-Hellas (FORTH)
Nikolaou Plastira 100, Vassilika Vouton,
GR 700 13 Heraklion, Crete
Greece
Contact info:
tel. Dept. Math. Appl. Math., Univ. Crete: +30 2810 393708
tel. IACM-FORTH: +30 2810 391777
fax +30 2810 393701
Email: g.n.makrakis@iacm.forth.gr, makrakg@uoc.gr
Curriculum vitae (CV)
Research interests
Wave propagation , Inverse scattering
Mechanics, acoustics, geophysics
Asymptotic techniques, Applied PDEs
Selected publications
G.A. Athanassoulis and G.N. Makrakis ,
"A function-theoretic approach to a two-dimensional wave-body interaction problem",
Applicable Analysis, Vol. 54, No. 3-4, pp. 283-303, 1994.
T. Katsaounis, G.T. Kossioris and G.N. Makrakis,
"Computation of high-frequency fields near caustics",
Mathematical Methods and Models in Applied Sciences, Vol. 11, No. 2, pp. 1-30, 2001.
M. Ikehata, G.N. Makrakis and G. Nakamura,
"Inverse boundary value problem in ocean acoustics",
Mathematical Methods in Applied Sciences, Vol. 24, pp. 1-8, 2001.
S. Filippas and G.N. Makrakis,
"Semiclassical Wigner function and geometrical optics",
SIAM Multiscale Modeling & Simulation, Vol. 1, No.4, pp.674-710, 2004.
S. Yu. Dobrokhotov, G. N. Makrakis, V. E. Nazaikinskii and T. Ya. Tudorovskii,
"New formulas for Maslov’s canonical operator in a neighborhood of focal points and caustics in 2D semiclassical asymptotics",
Theoretical and Mathematical Physics, Vol. 177, No. 3, pp. 1579-1605, 2013.
S. Yu. Dobrokhotov, G.N. Makrakis and V.E.Nazaiksinskii,
"Maslov’s Canonical Operator, Hörmander’s Formula, and
Localization of Berry–Balazs’ Solution in the Theory of Wave Beams",
Theoretical and Mathematical Physics, Vol. 180, No. 3, pp. 162-182, 2014.
P.D. Karageorge and G.N. Makrakis,
“Asymptotic approximations for the phase space Schrödinger equation”,
J. Phys. A: Math. Theor. 55 (2022) 345201 (49 pp), https://doi.org/10.1088/1751-8121/ac76f6.
Preprints
E.K. Kalligiannaki and G.N. Makrakis,
Perturbation solutions of the semiclassical Wigner equation
G.N. Makrakis,
Formal asymptotic expansion of the Faddeev-Green function in unbounded domains
K.S. Giannopoulou & G.N. Makrakis,
An approximate series solution of the semiclassical Wigner equation
Teaching
Winter semester 2022:
ODEs & Dynamical Systems (EYM-223, graduate course)