2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.AP2024
Mathematical analysis of the velocity extension level set method
Dieter Bothe, Kohei Soga
A passively advected sharp interface can be represented as the zero level set of a level set function . The linear transport equation is the sim…
math.AP2016★ 1 cited
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…
physics.flu-dyn2014★ 2 cited
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,…