Hydrodynamic-type model of relaxing media
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| Date: | 2010 |
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| Format: | Article |
| Language: | English |
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Інститут геофізики ім. С.I. Субботіна НАН України
2010
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| Series: | Геофизический журнал |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/103524 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Hydrodynamic-type model of relaxing media / V. Vladimirov // Геофизический журнал. — 2010. — Т. 32, № 4. — С. 204. — англ. |
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Hydrodynamic-type model of relaxing media
V. Vladimirov, 2010
University of Science and Technology, Academy of Mining and Metallurgy, Krakow, Poland
We consider a mathematical model of geophysi-
cal medium, taking into account effects of temporal
nonlocality. This model was derived by G. M. Lya-
khov on pure machanical ground in late 70th of the
XX century, and had been substantiated by
V. A. Danylenko and co-workers a decade later
within the framework of phenomenological thermo-
dynamics of irreversible processes.
The set of travelling wave (self-similar) solutions of
the modeling system is shown to possess a compac-
ton-like solution, if an external force of specific form is
present. In contrast to the classical compactons ap-
pearing in the Rosenau-Hyman equation, the com-
pacton appearing in the model under consideration is
manifested at specific values of the parematers. In
spite of such restriction, the compactly-supported trav-
elling wave solution seems to be of interest, since it is
shown to attract the near-by, not necessarily self-similar
solutions. Using the numerical experiments, we show
that solutions to Cauchy problems are attracted to
the compacton if some energy criterion is fulfilled, re-
gardless of the shape of initial data.
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irk-123456789-1035242016-06-20T03:00:49Z Hydrodynamic-type model of relaxing media Vladimirov, V. 2010 Article Hydrodynamic-type model of relaxing media / V. Vladimirov // Геофизический журнал. — 2010. — Т. 32, № 4. — С. 204. — англ. 0203-3100 http://dspace.nbuv.gov.ua/handle/123456789/103524 en Геофизический журнал Інститут геофізики ім. С.I. Субботіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| format |
Article |
| author |
Vladimirov, V. |
| spellingShingle |
Vladimirov, V. Hydrodynamic-type model of relaxing media Геофизический журнал |
| author_facet |
Vladimirov, V. |
| author_sort |
Vladimirov, V. |
| title |
Hydrodynamic-type model of relaxing media |
| title_short |
Hydrodynamic-type model of relaxing media |
| title_full |
Hydrodynamic-type model of relaxing media |
| title_fullStr |
Hydrodynamic-type model of relaxing media |
| title_full_unstemmed |
Hydrodynamic-type model of relaxing media |
| title_sort |
hydrodynamic-type model of relaxing media |
| publisher |
Інститут геофізики ім. С.I. Субботіна НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/103524 |
| citation_txt |
Hydrodynamic-type model of relaxing media / V. Vladimirov // Геофизический журнал. — 2010. — Т. 32, № 4. — С. 204. — англ. |
| series |
Геофизический журнал |
| work_keys_str_mv |
AT vladimirovv hydrodynamictypemodelofrelaxingmedia |
| first_indexed |
2025-07-07T13:58:16Z |
| last_indexed |
2025-07-07T13:58:16Z |
| _version_ |
1836996831037358080 |