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Local existence for viscous reactive micropolar real gas flow and thermal explosion with homogeneous boundary conditions (CROSBI ID 297270)

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Bašić-Šiško, Angela ; Dražić, Ivan 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: doi.org/10.1016/j.jmaa.2022.125988

Podaci o odgovornosti

Bašić-Šiško, Angela ; Dražić, Ivan

engleski

Local existence for viscous reactive micropolar real gas flow and thermal explosion with homogeneous boundary conditions

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.

micropolar real gas ; reactive fluid ; generalized solution ; local existence

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Podaci o izdanju

509 (2)

2022.

125988

31

objavljeno

0022-247X

1096-0813

doi.org/10.1016/j.jmaa.2022.125988

Povezanost rada

Matematika

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