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The vanishing limit of a rigid body in three-dimensional viscous incompressible fluid
Jiao He, Pei Su
We consider the evolution of a small rigid body in an incompressible viscous fluid filling the whole space $\rline^3$. When the small rigid body shrinks to a "massless" point in th…
math.AP2022
Quantitative bounds for critically bounded solutions to the three-dimensional Navier-Stokes equations in Lorentz spaces
Wen Feng, Jiao He, Weinan Wang
In this paper, we prove a quantitative regularity theorem and a blow-up criterion of classical solutions for the three-dimensional Navier-Stokes equations. By adapting the strategy…