3 papers
math.DS2020
Weak KAM theory for action minimizing random walks
Kohei Soga
We introduce a class of controlled random walks on a grid in and investigate global properties of action minimizing random walks for a certain action functional toge…
math.AP2020
More on convergence of Chorin's projection method for incompressible Navier-Stokes equations
Masataka Maeda, Kohei Soga
Kuroki and Soga [Numer. Math. 2020] proved that a version of Chorin's fully discrete projection method, originally introduced by A. J. Chorin [Math. Comp. 1969], is unconditionally…
math.AP2018
On convergence of Chorin's projection method to a Leray-Hopf weak solution
Hidesato Kuroki, Kohei Soga
The projection method to solve the incompressible Navier-Stokes equations was first studied by Chorin [Math. Comp., 1969] in the framework of a finite difference method and Temam […