90 citations · 251 across the 30 of their papers we have counts for
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The well-posedness and regularity of the Non-stationary Stokes and Navier-Stokes equations with the friction-type interface condition
Qi Wang, Takahito Kashiwabara, Guanyu Zhou
The friction-type interface condition (FIC) is introduced to describe the phenomenon of the slip and leak of fluid flow on the interface happens only when the difference of stress…
An Uncertainty-aware, Mesh-free Numerical Method for Kolmogorov PDEs
Daisuke Inoue, Yuji Ito, Takahito Kashiwabara +2
This study introduces an uncertainty-aware, mesh-free numerical method for solving Kolmogorov PDEs. In the proposed method, we use Gaussian process regression (GPR) to smoothly int…
-regularity for stationary and non-stationary Bingham problems with perfect slip boundary condition
Takeshi Fukao, Takahito Kashiwabara
-spatial regularity of stationary and non-stationary problems for Bingham fluids formulated with the pseudo-stress tensor is discussed. The problem is mathematically described…
Error estimates of the cubic interpolated pseudo-particle scheme for one-dimensional advection equations
Takahito Kashiwabara, Haruki Takemura
Error estimates of cubic interpolated pseudo-particle scheme (CIP scheme) for the one-dimensional advection equation with periodic boundary conditions are presented. The CIP scheme…