English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We show existence and uniqueness for small data of regular time-periodicsolutions to the Navier-Stokes problem in the exterior of a rigid body,$\mathscr B$, that moves by time-periodic translational motion of the sameperiod along a constant direction, $\bfe_1$, and spins with constant angularvelocity $\bfomega$ parallel to $\bfe_1$. We also study the spatial asymptoticbehavior of such solutions and show, in particular, that if $\mathscr B$ has anet motion characterized by a non-zero average translational velocity$\bar{\bfxi}$, then the solution exhibit a wake-like behavior in the direction$-\bar{\bfxi}$ entirely analogous to that of a steady-state flow around a bodythat moves with velocity $\bar{\bfxi}$ and angular velocity $\bfomega$.

Existence, Uniqueness and Asymptotic Behavior of Regular Time-Periodic Viscous Flow around a Moving Body: Rotational Case