Time periodic solutions of the Navier-Stokes equations with the time periodic Poiseuille flow under (GOC) for a symmetric perturbed channel in \(\mathbb{R}^2\)
The incompressible, nonstationary Navier-Stokes equations are considered in a symmetric perturbed channel in \(\mathbb{R}^2\). Based on previous papers by \textit{H. Fujita} [in: Navier-Stokes equations. Theory and numerical methods. Proceedings of the international conference, Varenna, Lecco, Italy, June 2--6, 1997. Harlow: Longman. 16--30 (1998; Zbl 0946.35063)] and \textit{T. Kobayashi} [Tohoku Math. J. (2) 66, No. 1, 119--135 (2014; Zbl 1293.35208)], the author proves the existence of a time periodic solution to the above problem.
scientific article; zbMATH DE number 6491859
scientific article