Non-instantaneous single- and multi-impulsive advection-reaction-diffusion equations Full article
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Всероссийская научно-практическая конференция с международным участием "Актуальные вопросы теплофизики, энергетики и гидрогазодинамики в условиях Арктики", г. Якутск, 12-17 июля 2021 г. 12-17 Jul 2021 , Якутск |
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| Source | Topical Issues of Thermophysics, Energetics and Hydrogasdynamics in the Arctic Conditions Compilation, American Institute of Physics – AIP. 2022. ISBN 9780735443990. |
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| Journal |
AIP Conference Proceedings
ISSN: 0094-243X |
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| Output data | Year: 2022, Volume: 2528, Article number : 020001, Pages count : 4 DOI: 10.1063/5.0106234 | ||||
| Tags | Impulsive equations | ||||
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| Affiliations |
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Funding (2)
| 1 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0010 |
| 2 | Министерство науки и высшего образования Российской Федерации | FZMW-2020-0008 |
Abstract:
In the present article, we study singular limits of weak energy solutions to non-instantaneous single- and multi-impulsive advection-diffusion-reaction equation as impulsive source terms collapse to time-dependent the Dirac
delta-functions, i.e., to instant impulses. We establish that the limiting functions are the solutions of the
instantaneous impulsive advection-diffusion-reaction equations. Besides, in the multi-impulsive case we find the effect of transition to an equilibrium as a number of impulses grows infinitely. The results can be applied to further modeling of such processes as frost-quakes in glaciology.
Cite:
Kuznetsov I.
, Sazhenkov S.
Non-instantaneous single- and multi-impulsive advection-reaction-diffusion equations
In compilation Topical Issues of Thermophysics, Energetics and Hydrogasdynamics in the Arctic Conditions. – American Institute of Physics – AIP., 2022. – ISBN 9780735443990. DOI: 10.1063/5.0106234 Scopus РИНЦ OpenAlex
Non-instantaneous single- and multi-impulsive advection-reaction-diffusion equations
In compilation Topical Issues of Thermophysics, Energetics and Hydrogasdynamics in the Arctic Conditions. – American Institute of Physics – AIP., 2022. – ISBN 9780735443990. DOI: 10.1063/5.0106234 Scopus РИНЦ OpenAlex
Dates:
| Published online: | Sep 6, 2022 |
Identifiers:
| Scopus: | 2-s2.0-85139384924 |
| Elibrary: | 65622588 |
| OpenAlex: | W4294795328 |
Citing:
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