Strong solutions to the Stokes equations of a flow around a rotating body in weighted Lq spaces

✍ Scribed by Šárka Nečasová; Katrin Schumacher

• Publisher: John Wiley and Sons
• Year: 2011
• Tongue: English
• Weight: 176 KB
• Volume: 284
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200810166

✦ Synopsis

We consider the motion of a fluid in the exterior of a rotating obstacle. This leads to a modified version of the Stokes system which we consider in the whole space R n , n = 2 or n = 3 and in an exterior domain D ⊂ R 3 . For every q ∈ (1, ∞) we prove existence of solutions and estimates in function spaces with weights taken from a subclass of the Muckenhoupt class Aq . Moreover, uniqueness is shown modulo a vector space of dimension 3.