Pregled bibliografske jedinice broj: 1139012
Local existence for viscous reactive micropolar real gas flow and thermal explosion with homogeneous boundary conditions
Local existence for viscous reactive micropolar real gas flow and thermal explosion with homogeneous boundary conditions // Journal of mathematical analysis and applications, 509 (2022), 2; 125988, 31 doi:.org/10.1016/j.jmaa.2022.125988 (međunarodna recenzija, članak, znanstveni)
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Naslov
Local existence for viscous reactive
micropolar real gas flow and thermal explosion
with homogeneous boundary conditions
Autori
Bašić-Šiško, Angela ; Dražić, Ivan
Izvornik
Journal of mathematical analysis and applications (0022-247X) 509
(2022), 2;
125988, 31
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
micropolar real gas ; reactive fluid ; generalized solution ; local existence
Sažetak
In this paper, we prove that the one- dimensional model of reactive micropolar real gas flow and thermal explosion has a solution locally in time. We first define the notion of a generalized solution for the governing initial-boundary value problem. We prove the claim of local existence by deriving a sequence of approximate problems obtained by Faedo-Galerkin projections. A priori estimates allow us to choose small enough time interval of existence, and show that the sequence of approximations is bounded in certain functional spaces, and therefore has a convergent subsequence. In the end, we show that it is precisely this limit that is the solution to the observed problem.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2019-04-1140 - Višeskalni problemi u mehanici fluida (MultiFM) (Pažanin, Igor, HRZZ - 2019-04) ( CroRIS)
Ustanove:
Tehnički fakultet, Rijeka
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet