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- Title
Uniqueness of a Generalized Solution for a One-Dimensional Thermal Explosion Model of a Compressible Micropolar Real Gas.
- Authors
Bašić-Šiško, Angela; Dražić, Ivan
- Abstract
In this paper, we analyze a quasi-linear parabolic initial-boundary problem describing the thermal explosion of a compressible micropolar real gas in one spatial dimension. The model contains five variables, mass density, velocity, microrotation, temperature, and the mass fraction of unburned fuel, while the associated problem contains homogeneous boundary conditions. The aim of this work is to prove the uniqueness theorem of the generalized solution for the mentioned initial-boundary problem. The uniqueness of the solution, together with the proven existence of the solution, makes the described initial-boundary problem theoretically consistent, which provides a basis for the development of numerical methods and the engineering application of the model.
- Subjects
REAL gases; METHODS engineering; EXPLOSIONS; ENGINEERING models
- Publication
Mathematics (2227-7390), 2024, Vol 12, Issue 5, p717
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math12050717