TY - JOUR
T1 - A General Approach to Time Periodic Incompressible Viscous Fluid Flow Problems
AU - Geissert, Matthias
AU - Hieber, Matthias Georg
AU - Nguyen, Thieu Huy
PY - 2016/6/1
Y1 - 2016/6/1
N2 - This article develops a general approach to time periodic incompressible fluid flow problems and semilinear evolution equations. It yields, on the one hand, a unified approach to various classical problems in incompressible fluid flow and, on the other hand, gives new results for periodic solutions to the Navier–Stokes–Oseen flow, the Navier–Stokes flow past rotating obstacles, and, in the geophysical setting, for Ornstein–Uhlenbeck and various diffusion equations with rough coefficients. The method is based on a combination of interpolation and topological arguments, as well as on the smoothing properties of the linearized equation.
AB - This article develops a general approach to time periodic incompressible fluid flow problems and semilinear evolution equations. It yields, on the one hand, a unified approach to various classical problems in incompressible fluid flow and, on the other hand, gives new results for periodic solutions to the Navier–Stokes–Oseen flow, the Navier–Stokes flow past rotating obstacles, and, in the geophysical setting, for Ornstein–Uhlenbeck and various diffusion equations with rough coefficients. The method is based on a combination of interpolation and topological arguments, as well as on the smoothing properties of the linearized equation.
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U2 - 10.1007/s00205-015-0949-8
DO - 10.1007/s00205-015-0949-8
M3 - Article
AN - SCOPUS:84949483359
SN - 0003-9527
VL - 220
SP - 1095
EP - 1118
JO - Archive for Rational Mechanics and Analysis
JF - Archive for Rational Mechanics and Analysis
IS - 3
ER -