Mathematical theory of diffraction, scattering and wave propagation, asymptotic technique, quantum scattering, non-linear waves, numerical approaches and computer modeling.
Main publications:
V. M. Babich, M. A. Lyalinov, V. E. Grikurov. "Diffraction Theory:The Sommerfeld–Malyuzhinets Technique" Alpha Science Series on Wave Phenomena, 2008.
V. È. Grikurov, M. A. Lyalinov, “Diffraction of an $H$-polarized surface wave by an abgular break of a thin dielectric slab”, Zap. Nauchn. Sem. POMI, 354 (2008), 100–111; J. Math. Sci. (N. Y.), 155:3 (2008), 390–396
V. È. Grikurov, L. V. Ivanov, S. Yu. Slavyanov, R. V. Trepkov, S. A. Fursenko, “On computation of the effective thermal conductivity of building bricks with hollow spaces”, Matem. Mod., 17:9 (2005), 77–84
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