A non-autonomous model problem for the Oseen-Navier-Stokes flow with rotating effects

Details A non-autonomous model problem for the Oseen-Navier-Stokes flow with rotating effects A non-autonomous model problem for the Oseen-Navier-Stokes flow with rotating effects

2010-06-18

arxiv.org/abs/1006.3618v2

J. Math. Soc. Japan, Vol. 63, No.3 (July 2011), 1027 -- 1037

Mathematics

Analysis of PDEs

8 pages

Scientific paper

Consider the Navier-Stokes flow past a rotating obstacle with a general time-dependent angular velocity and a time-dependent outflow condition at infinity. After rewriting the problem on a fixed domain, one obtains a non-autonomous system of equations with unbounded drift terms. It is shown that the solution to a model problem in the whole space case $\R^d$ is governed by a strongly continuous evolution system on $L^p_\sigma(\R^d)$ for $1

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