On stationary two-dimensional flows around a fast rotating disk

Isabelle Gallagher (1, 2) , Mitsuo Higaki (3) , Yasunori Maekawa (3)

1 UPD7 - Université Paris Diderot - Paris 7
2 DMA - Département de Mathématiques et Applications - ENS Paris
3 Department of Mathematics, Graduate School of Science

We study the two-dimensional stationary Navier-Stokes equations describing flows around a rotating disk. The existence of unique solutions is established for any rotating speed, and qualitative effects of a large rotation are described precisely by exhibiting a boundary layer structure and an axisymmetrization of the flow.

Mots clés: Navier-Stokes equations · two-dimensional exterior flows · flows around a ro-; tating obstacle · boundary layer; Mathematics Subject Classification (2000) 35B35 · 35Q30 · 76D05 · 76D17

Domaines: Equations aux dérivées partielles [math.AP]

Isabelle Gallagher, Mitsuo Higaki, Yasunori Maekawa. On stationary two-dimensional flows around a fast rotating disk. Mathematical News / Mathematische Nachrichten, 2019. ⟨hal-01592269⟩