TITLE:
Time-Periodic Solutions of the Hydrodynamic Equations for a Reacting Mixture in n-Dimension
AUTHORS:
Chenhan Wang
KEYWORDS:
Time-Periodic Solutions, Compressible Navier-Stokes Equation, Radiative and Reactive Gases, Decay Rate
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.12 No.4,
April
29,
2022
ABSTRACT: In this paper, we investigate the
existence of time-periodic solutions to the n-dimension hydrodynamic model for a reacting mixture with a time-periodic external force when the dimension is under some smallness assumption. The energy method combined with the
spectral analysis is used to obtain the optimal decay estimates on the
linearized solution operator. We study the existence and uniqueness of the time-periodic
solution in some suitable function space by using a fixed point method and the
decay estimates. Furthermore, we obtain the time asymptotic stability of the time-periodic
solution.