Asymptotic behavior of solutions of the stationary Navier-Stokes equations in an exterior domain
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Bibliographic record
Abstract
In this paper we are interested in the asymptotic behavior of an incompressible fluid around a bounded obstacle. The problem is described by the stationary Navier-Stokes equations in an exterior domain in ℝ<sup>n</sup> with n ≥ 2. We will show that under some assumptions, any nontrivial velocity field obeys a minimal decaying rate exp(-Ct<sup>2</sup> log t) at infinity. Our proof is based on appropriate Carleman estimates.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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