Abstract
Consider the Navier-Stokes fluid filling the whole 3-dimensional space exterior to a rotating obstacle with constant angular velocity ω. By using a coordinate system attached to the obstacle, the problem is reduced to an equivalent one in a fixed exterior domain. It is proved that the reduced problem possesses a unique global solution which goes to a stationary flow as t → ∞ when ω and the initial disturbance are small in a sense.
| Original language | English |
|---|---|
| Pages (from-to) | 303-307 |
| Number of pages | 5 |
| Journal | WSEAS Transactions on Mathematics |
| Volume | 5 |
| Issue number | 3 |
| Publication status | Published - 2006 Mar |
Keywords
- Decay
- Exterior domain
- Global solution
- Navier-Stokes flow
- Rotating body
- Stability
ASJC Scopus subject areas
- Endocrinology, Diabetes and Metabolism
- Algebra and Number Theory
- Statistics and Probability
- Discrete Mathematics and Combinatorics
- Management Science and Operations Research
- Control and Optimization
- Computational Mathematics
- Applied Mathematics
