The transition problem between time-independent motions of a body in a viscous liquid
Abstract
A body $${\mathscr {B}}$$ moves in an unbounded Navier–Stokes liquid by time-independent translatory motion. Suppose that at time $$t=0$$ , $${\mathscr {B}}$$ 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 $${\mathscr {B}}$$ , provided all the involved velocities of $${\mathscr {B}}$$ are sufficiently small.
Fields of Study & Subjects
Experimental and Theoretical Physics Studies
Elasticity and Wave Propagation
Publication details
- Journal / source
- Journal of Evolution Equations
- Publisher
- Springer Science and Business Media LLC
- Volume
- 26
- Issue
- 2
- Publication date
- 2 May 2026
- Language
- EN