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We consider the stationary problem of the Navier-Stokes equations on R3:
| Content Provider | CiteSeerX |
|---|---|
| Author | Yoneda, Tsuyoshi Chae, Dongho |
| Abstract | Abstract. In this paper we prove Liouville type theorem for the stationary Navier-Stokes equations on R3. More specifically, if a solution u ∈ Ḣ1(R3) ∩ L∞(R3) to the stationary Navier-Stokes system satisfies additional conditions characterized by the de-cays near infinity and by the oscillation, then we show that u = 0. AMS Subject Classification(2000):35Q30, 76D05 |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Stationary Problem Liouville Type Theorem Stationary Navier-stokes System Stationary Navier-stokes Equation |
| Content Type | Text |
| Resource Type | Article |
