4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.AP2022
On the Poisson Equation on a Surface with a boundary condition in co-normal direction
Hajime Koba, Yuki Wakasugi
This paper considers the existence of weak and strong solutions to the Poisson equation on a surface with a boundary condition in co-normal direction. We apply the Lax-Milgram theo…
math-ph2018
On Generalized Diffusion and Heat Systems on an Evolving Surface with a Boundary
Hajime Koba
We consider a diffusion process on an evolving surface with a piecewise Lipschitz-continuous boundary from an energetic point of view. We employ an energetic variational approach w…
math-ph2017★ 4 cited
On Derivation of Compressible Fluid Systems on an Evolving Surface
Hajime Koba
We consider the governing equations for the motion of compressible fluid on an evolving surface from both energetic and thermodynamic points of view. We employ our energetic variat…