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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…