I am a Professor of Applied Mathematics in the University of Crete and an Associated Researcher at IACM-FORTH.
Contact Info
| First Name | GEORGE |
| Last Name | MAKRAKIS |
| g.n.makrakis@iacm.forth.gr | |
| CV | curriculum-vitae.pdf |
| Webpage | http://users.math.uoc.gr/~makrakg/ |
| Address | Institute of Applied and Computational Mathematics (IACM), Foundation for Research & Technology-Hellas (FORTH), Nikolaou Plastira 100, Vassilika Vouton, GR 700 13 Heraklion, Crete Greece |
| Phone | +30 2810 391777 |
RESEARCH
I am working on wave propagation problems, mainly with asymptotic methods. On the applied side I am interested for applications in underwater acoustics, geophysics and phase-space quantum mechanics.
PUBLICATIONS
Selected Articles
1. P.S.Theocaris and G.N. Makrakis, Caustics and quasi-conformality. A
new method for the evaluation of stress singularities, Journal of
Applied Mathematics and Physics (ZAMP), Vol. 40, pp. 410-424, 1989.
2. 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.
3. 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.
4. S. Filippas and G.N. Makrakis, Semiclassical Wigner function and
geometrical optics, SIAM Multiscale Modeling & Simulation, Vol. 1,
No.4, pp.674-710, 2004.
5. G.S. Piperakis, E.K. Skarsoulis and G.N. Makrakis, Rytov
approximation of tomographic receptions in weakly range-dependent ocean
environments, Journal of the Acoustical Society of America, Vol. 120,
No. 1, pp. 120-134, 2006.
6. S.Yu Dobrokhotov, G.N. Makrakis and V.E.Nazaiksinskii, Maslov’s
Canonical Operator, Hormander’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.
7. G.N. Makrakis (2014) Transmutation of non local boundary conditions in ocean acoustics, Applicable Analysis, Vol. 93, No. 6, pp. 1319-1326.
8. GA Athanassoulis, GN Makrakis (2020), An Unusual Wave Equation Arising in Water-Wave Theory, Differential Equations, 49-56.
9. PD Karageorge, GN Makrakis (2022) Asymptotic approximations for the phase space Schrödinger equation, Journal of Physics A: Mathematical and Theoretical 55 (34), 345201.