4 citations · 11 across the 7 of their papers we have counts for
6 papers · 1 filter
Uniform null-controllability times for the Coron--Guerrero problems are and
Kai Koike, Vincent Laheurte
We study the uniform null-controllability, in the vanishing viscosity limit, of the transport--diffusion equation on with a Dirichlet bou…
Time-asymptotic expansion with pointwise remainder estimates for 1D viscous compressible flow
Kai Koike
We construct a time-asymptotic expansion with pointwise remainder estimates for solutions to 1D compressible Navier--Stokes equations. The leading-order term is the well-known diff…
Long-time behavior of several point particles in a 1D viscous compressible fluid
Kai Koike
We study the long-time behavior of \textit{several} point particles in a 1D viscous compressible fluid. It is shown that the velocities of the point particles all obey the power la…
Refined pointwise estimates for solutions to the 1D barotropic compressible Navier--Stokes equations: An application to the long-time behavior of a point mass
Kai Koike
We study the long-time behavior of a point mass moving in a one-dimensional viscous compressible fluid. Previously, we showed that the velocity of the point mass satisfies a…
Long-Time Behavior of a Point Mass in a One-Dimensional Viscous Compressible Fluid and Pointwise Estimates of Solutions
Kai Koike
We consider the motion of a point mass in a one-dimensional viscous compressible barotropic fluid. The fluid--point mass system is governed by the barotropic compressible Navier--S…
Wall Effect on the Motion of a Rigid Body Immersed in a Free Molecular Flow
Kai Koike
Motion of a rigid body immersed in a semi-infinite expanse of gas in a -dimensional region bounded by an infinite plane wall is studied for free molecular flow on the basis of t…