This investigation reveals a unique solution for steady states in a viscous liquid, connecting translatory motions and arbitrary movements.
A body B moves in an unbounded Navier-Stokes liquid by time-independent translatory motion. Suppose that at time $t=0$, B smoothly changes its motion to an arbitrary rigid motion, reached at time $t=1$. We then show that the associated Navier-Stokes problem has a unique solution connecting the two steady-states generated by the motion of B, provided all the involved velocities of B are sufficiently small.
No takes yet. Share an insight, caveat, or question.
Galdi et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: