Year: 2025
Type: article
Abstract: Sufficient conditions on the initial data are given for the decay in time of the kinetic energy, E E , of solutions to the system of equations describing the motion of a rigid body in a Navier–Stokes liquid. More precisely, under the assumption that the initial data are “small” in an appropriate norm, it is shown that if, in addition, the initial velocity field of the liquid, v 0 v_0 , is in L q L^q , q ∈ ( 1 , 2 ) q\in (1,2) , then E ( t ) E(t) vanishes as t → ∞ t\to \infty with a specific order of decay. The order remains, however, unspecified if v 0 ∈ L 2 v_0\in L^2 .
DOI: 10.1090/spmj/1861
Authors: G. Galdi, P. Maremonti
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7093104760