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Large time existence and asymptotic stability of the generalized solution to flow and thermal explosion model of reactive real micropolar gas.

Large time existence and asymptotic stability of the generalized solution to flow and thermal explosion model of reactive real micropolar gas.

Authors :
Bašić‐Šiško, Angela
Source :
Mathematical Methods in the Applied Sciences. 9/30/2024, Vol. 47 Issue 14, p11490-11510. 21p.
Publication Year :
2024

Abstract

We study the long time behavior of the generalized solution of the flow and thermal explosion model of the reactive real micropolar gas. The dynamics of the chemical reaction involved and the usual laws of conservation of mass, momentum, angular momentum, and energy generate a complex governing system of partial differential equations. The fluid is nonideal and non‐Newtonian. In this work, we prove that the problem can be solved in an infinite time domain and establish the asymptotic properties of the solution. Namely, we conclude that for certain parameter values, the solution stabilizes exponentially to a steady‐state solution, while for others the stabilization occurs but at power decay rate. At the end, we conducted a few numerical tests whereby we experimentally confirmed theoretical findings about long‐term behavior of the solution. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
47
Issue :
14
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
179110426
Full Text :
https://doi.org/10.1002/mma.10139