Modeling of Wave Propagation in Degenerate Hyperbolic Systems

Verfasser / Beitragende:
[I. Selezov, Iu. Kryvonos]
Ort, Verlag, Jahr:
2015
Enthalten in:
Cybernetics and Systems Analysis, 51/1(2015-01-01), 105-115
Format:
Artikel (online)
ID: 605518548
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024 7 0 |a 10.1007/s10559-015-9702-4  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10559-015-9702-4 
245 0 0 |a Modeling of Wave Propagation in Degenerate Hyperbolic Systems  |h [Elektronische Daten]  |c [I. Selezov, Iu. Kryvonos] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a hyperbolic equations  |2 nationallicence 
690 7 |a hyperbolic degeneration  |2 nationallicence 
690 7 |a hyperlayer  |2 nationallicence 
690 7 |a elastodynamics  |2 nationallicence 
700 1 |a Selezov  |D I.  |u Institute of Hydromechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine  |4 aut 
700 1 |a Kryvonos  |D Iu  |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine  |4 aut 
773 0 |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/1(2015-01-01), 105-115  |x 1060-0396  |q 51:1<105  |1 2015  |2 51  |o 10559 
856 4 0 |u https://doi.org/10.1007/s10559-015-9702-4  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10559-015-9702-4  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Selezov  |D I.  |u Institute of Hydromechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Kryvonos  |D Iu  |u V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/1(2015-01-01), 105-115  |x 1060-0396  |q 51:1<105  |1 2015  |2 51  |o 10559