2 citations · 7 across the 12 of their papers we have counts for
12 papers
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-…
A finite difference method for inhomogeneous incompressible Navier-Stokes equations
Kohei Soga
This paper provides mathematical analysis of an elementary fully discrete finite difference method applied to inhomogeneous (non-constant density and viscosity) incompressible Navi…
A remark on Tonelli's calculus of variations
Kohei Soga
This paper provides a quite simple method of Tonelli's calculus of variations with positive definite and superlinear Lagrangians. The result complements the classical literature of…
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…
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 […
Stochastic and variational approach to finite difference approximation of Hamilton-Jacobi equations
Kohei Soga
The author presented a stochastic and variational approach to the Lax-Friedrichs finite difference scheme applied to hyperbolic scalar conservation laws and the corresponding Hamil…
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…
Thermodynamically consistent modeling for dissolution/growth of bubbles in an incompressible solvent
Dieter Bothe, Kohei Soga
We derive mathematical models of the elementary process of dissolution/growth of bubbles in a liquid under pressure control. The modeling starts with a fully compressible version,…
More on Stochastic and Variational Approach to the Lax-Friedrichs Scheme
Kohei Soga
A stochastic and variational aspect of the Lax-Friedrichs scheme was applied to hyperbolic scalar conservation laws by Soga [arXiv: 1205.2167v1]. The results for the Lax-Friedrichs…
Stochastic and Variational Approach to the Lax-Friedrichs Scheme
Kohei Soga
We present a stochastic and variational aspect of the Lax-Friedrichs scheme applied to hyperbolic scalar conservation laws. This is a finite difference version of Fleming's results…