Time-periodic strong solutions of the 3D Navier-Stokes equations with damping

Date

2017-10-05

Authors

Kim, Yongho
Li, Kwangok

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

This article concerns the incompressible Navier-Stokes equations with damping and homogeneous Dirichlet boundary conditions in 3D bounded domains. We find conditions on parameters to guarantee that the problem has a strong time-periodic solution and that the weak solutions of the problem converge to a unique time-periodic solution as t → ∞.

Description

Keywords

3D Navier-Stokes equation, Asymptotic behavior, Nonlinear damping, Time-periodic solution

Citation

Kim, Y., & Li, K. (2017). Time-periodic strong solutions of the 3D Navier-Stokes equations with damping. <i>Electronic Journal of Differential Equations, 2017</i>(244), pp. 1-11.

Rights

Attribution 4.0 International

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