Uniqueness of a Generalized Solution for a One-Dimensional Thermal Explosion Model of a Compressible Micropolar Real Gas

Angela Bašić-Šiško and Ivan Dražić ()
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Angela Bašić-Šiško: Faculty of Engineering, University of Rijeka, Vukovarska 58, 51000 Rijeka, Croatia
Ivan Dražić: Faculty of Engineering, University of Rijeka, Vukovarska 58, 51000 Rijeka, Croatia

Mathematics, 2024, vol. 12, issue 5, 1-18

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.

Keywords: micropolar real gas; reactive fluid; uniqueness of the solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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