Naslov
Existence and uniqueness of a generalized solution to the one-dimensional flow and thermal explosion micropolar reactive real gas model

Autori
Bašić-Šiško, Angela

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Book of Abstracts EQUADIFF 15 / - , 2022, 148-148

Skup
EQUADIFF 15

Mjesto i datum
Brno, Češka Republika, 11.07.2022. - 15.07.2022

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
micropolar fluid ; real gas ; reactive fluid

Sažetak
In this work, we consider the model of one- dimensional flow and thermal explosion of reactive micropolar gas, taking into account the equation of state of real gas given by P = Rρ^pθ, (1) where P is the pressure, ρ is the mass density, θ is the absolute temperature, and R > 0 is a constant. Exponent p ≥ 1 is called pressure exponent. First, the corresponding boundary-initial value problem with homogeneous boundary conditions in mass Lagrangian coordinates is derived, then the notion of a generalized solution is defined and its existence and uniqueness are considered. Namely, it was first proved that the described problem has a solution locally in time [4]. To prove this result, a constructive technique involving Faedo- Galerkin approximations was used. It was also shown that the problem admits at most one generalized solution. Finally, using the theorems on local existence and uniqueness, it is shown that the solution can be extended to an interval of arbitrary finite length. The problem is also solved numerically, using the same construction as in the proof of the theorem on local existence.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA