Local existence for viscous reactive micropolar real gas flow and thermal explosion with homogeneous boundary conditions (CROSBI ID 297270)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
509 (2)
2022.
125988
31
objavljeno
0022-247X
1096-0813
doi.org/10.1016/j.jmaa.2022.125988