3 papers
math.NA2025
Error estimates for semi-Lagrangian schemes with higher-order interpolation for conservation laws with dispersive terms
Haruki Takemura
We establish error estimates for semi-Lagrangian schemes for the initial value problem of one-dimensional conservation laws with a dispersive term, including the Korteweg--de Vries…
math.NA2025
Error estimates of fully semi-Lagrangian schemes for diffusive conservation laws
Haruki Takemura
We present error estimates of the fully semi-Lagrangian scheme with high-order interpolation operators, solving the initial value problems for the one-dimensional nonlinear diffusi…
math.AP2025
On periodic traveling wave solutions with or without phase transition to the Navier-Stokes-Korteweg and the Euler-Korteweg equations
Yoshikazu Giga, Takahito Kashiwabara, Haruki Takemura
The Navier-Stokes-Korteweg and the Euler-Korteweg equations are considered in isothermal setting. These are diffuse interface models of two-phase flow. For the Navier-Stokes-Kortew…