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

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