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

0364305 - MÚ 2012 RIV DE eng J - Journal Article
Nečasová, Šárka - Schumacher, K.
Strong solutions to the Stokes equations of a flow around a rotating body in weighted Lq spaces.
Mathematische Nachrichten. Roč. 284, č. 13 (2011), s. 1701-1714. ISSN 0025-584X. E-ISSN 1522-2616
R&D Projects: GA AV ČR IAA100190505; GA AV ČR IAA100190804; GA MŠMT LC06052
Institutional research plan: CEZ:AV0Z10190503
Keywords : strong solution * Stokes problem * weighted spaces
Subject RIV: BA - General Mathematics
Impact factor: 0.682, year: 2011
http://onlinelibrary.wiley.com/doi/10.1002/mana.200810166/abstract

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 subset of R(3). For every q is an element of (1, infinity) we prove existence of solutions and estimates in function spaces with weights taken from a subclass of the Muckenhoupt class A(q). Moreover, uniqueness is shown modulo a vector space of dimension 3.
Permanent Link: http://hdl.handle.net/11104/0199824