Consider the Navier-Stokes flow past several moving or rotating obstacles with possible time-dependent velocity. It is shown that under suitable assumptions on the data, there exists a unique, local strong solution in the LP - Lq-setting for suitable p, q ∈ (1,∞). Moreover, it is proved that this strong solution coincides with the known mild solution in the very weak sense.
ASJC Scopus subject areas
- 数学 (全般)