Global existence theorem of a generalized solution for a one‐dimensional thermal explosion model of a compressible micropolar real gas

Author:

Bašić‐Šiško Angela1,Dražić Ivan1

Affiliation:

1. Faculty of Engineering University of Rijeka Rijeka Croatia

Abstract

We consider 1‐D thermal explosion of a compressible micropolar real gas, assuming that the initial density and temperature are bounded from below with a positive constant and that the initial data are sufficiently smooth. The starting problem is transformed into the Lagrangian description on the spatial domain and contains homogeneous boundary conditions. In this work, we prove that our problem has a generalized solution for any time interval . The proof is based on the local existence theorem and the extension principle.

Funder

Sveučilište u Rijeci

Hrvatska Zaklada za Znanost

Publisher

Wiley

Reference21 articles.

1. One‐dimensional flow of a compressible viscous micropolar fluid: a local existence theorem;Mujakovic N.;Glas. Mat., III. Ser.,1998

2. 3-D flow of a compressible viscous micropolar fluid model with spherical symmetry: A brief survey and recent progress

3. Three-dimensional flow of a compressible viscous micropolar fluid with cylindrical symmetry: a global existence theorem

4. Local existence of the generalized solution for three‐dimensional compressible viscous flow of micropolar fluid with cylindrical symmetry;Dražić I.;Bound. Value Probl.,2019

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