@inbook{88dc416b3b864225b1f66ef06c0de331,
title = "The Navier-Stokes flow in the exterior of rotating obstacles",
abstract = "In this note we describe recent results on the equations of Navier-Stokes in the exterior of a rotating domain. After rewriting the problem on a fixed exterior domain Ω in ℝn, it is shown that for initial data u0 ∈ Lσ p (Ω) with p ≥ n and which are satisfying a certain compatibility condition there exists a unique local mild solution to the Navier-Stokes problem. In the case of the whole space of ℝn, this local mild solution is even analytic in the space variable x.",
keywords = "Exterior domain, Local existence, Mild solution, Stokes operator, Weak solution",
author = "Hieber, {Matthias Georg}",
year = "2005",
month = jan,
day = "1",
doi = "10.1007/3-7643-7385-7_13",
language = "English",
series = "Progress in Nonlinear Differential Equations and Their Application",
publisher = "Springer US",
pages = "243--250",
booktitle = "Progress in Nonlinear Differential Equations and Their Application",
address = "United States",
}