caa a22 4500 605518548 CHVBK 20210128100726.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s10559-015-9702-4 doi (NATIONALLICENCE)springer-10.1007/s10559-015-9702-4 Modeling of Wave Propagation in Degenerate Hyperbolic Systems [Elektronische Daten] [I. Selezov, Iu. Kryvonos] Degeneration in a small spatial coordinate of the original initial-boundary-value problem for hyperbolic equations is considered in order to construct simpler models. The problem is investigated in a domain whose one spatial scale is much less than the other scales. This makes it possible to expand the desired functions in power series and hence to reduce the dimension of the problem. However, this comes at the cost of degeneration of the spectrum of the original three-dimensional problem. Springer Science+Business Media New York, 2015 hyperbolic equations nationallicence hyperbolic degeneration nationallicence hyperlayer nationallicence elastodynamics nationallicence Selezov I. Institute of Hydromechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut Kryvonos Iu V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/1(2015-01-01), 105-115 1060-0396 51:1<105 2015 51 10559 https://doi.org/10.1007/s10559-015-9702-4 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10559-015-9702-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Selezov I. Institute of Hydromechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut NATIONALLICENCE 700 1- Kryvonos Iu V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine aut NATIONALLICENCE 773 0- Cybernetics and Systems Analysis Springer US; http://www.springer-ny.com 51/1(2015-01-01), 105-115 1060-0396 51:1<105 2015 51 10559