Time-Periodic Solutions of the Hydrodynamic Equations for a Reacting Mixture in n-Dimension ()
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.
Share and Cite:
Wang, C. (2022) Time-Periodic Solutions of the Hydrodynamic Equations for a Reacting Mixture in
n-Dimension.
Open Journal of Applied Sciences,
12, 574-597. doi:
10.4236/ojapps.2022.124040.
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