3 citations · 5 across the 16 of their papers we have counts for
26 papers
Local-in-time strong solvability of Navier--Stokes type variational inequalities by Rothe's method
Takahito Kashiwabara
We consider parabolic variational inequalities in a Hilbert space , which have a non-monotone nonlinearity of Navier--Stokes type represented by a bilinear operator $B: V \times…
Single exponential -upper bounds for the primitive equations
Takahito Kashiwabara
The three dimensional primitive equations with full viscosity are considered in a horizontally periodic box , which are subject to either the homogeneous Neumann or Dirichlet co…
Optimal -error estimate for isoparametric finite element method in a smooth domain
Takahito Kashiwabara
We consider the isoparametric finite element method (FEM) for the Poisson equation in a smooth domain with the homogeneous Dirichlet boundary condition. Because the boundary is cur…
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…
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…