## Abstract In this paper, we consider incompressible viscous fluid flows with slip boundary conditions. We first prove the existence of solutions of the unsteady Navier–Stokes equations in __n__‐spacial dimensions. Then, we investigate the stability, uniqueness and regularity of solutions in two a
✦ LIBER ✦
Solvability of Navier-Stokes equations with leak boundary conditions
✍ Scribed by Rong An; Yuan Li; Kai-tai Li
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2008
- Tongue
- English
- Weight
- 215 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0168-9673
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We study the local exponential stabilizability with internally distributed feedback controllers for the incompressible 2D-Navier-Stokes equations with Navier slip boundary conditions. These controllers are localized in a subdomain and take values in a finite-dimensional space.