2 citations · 7 across the 12 of their papers we have counts for
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Existence of global weak solutions of inhomogeneous incompressible Navier-Stokes equations with mass diffusion
Eliott Kacedan, Kohei Soga
This paper proves existence of a global weak solution to the inhomogeneous (i.e., non-constant density) incompressible Navier-Stokes system with mass diffusion. The system is well-…
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…
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 […
Weak KAM theory for discount Hamilton-Jacobi equations and its application
Hiroyoshi Mitake, Kohei Soga
Weak KAM theory for discount Hamilton-Jacobi equations and corresponding discount Lagrangian/Hamiltonian dynamics is developed. Then it is applied to error estimates for viscosity…
Selection problems of Z^2-periodic entropy solutions and viscosity solutions
Kohei Soga
Z^2-periodic entropy solutions of hyperbolic scalar conservation laws and Z^2-periodic viscosity solutions of Hamilton-Jacobi equations are not unique in general. However, uniquene…