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