4 citations · 6 across the 5 of their papers we have counts for
8 papers
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…
Optimal error estimates for the half-way bounce-back lattice Boltzmann method for the Stokes equations
Kai Koike
We give a mathematical proof of the optimal convergence rates for the D2Q9 BGK lattice Boltzmann method with the half-way bounce-back rule for the incompressible Stokes equations i…
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…