5 citations · 17 across the 13 of their papers we have counts for
14 papers
Global solvability of the heat equations in two unbounded domains and the interface
Hajime Koba
This paper considers the existence of a unique global-in-time strong solution to the heat equations in two unbounded domains , and the interface $Γ(= \partial Ω_A \cap \…
Stability and maximal regularity of the diffusion equation on unbounded surfaces
Hajime Koba
This paper studies both stability and maximal regularity of the diffusion equation on an unbounded surface without any assumptions on the curvature. We show that the surface diffus…
Global solvability for the heat equations in two half spaces and an interface
Hajime Koba
This paper considers the existence of a global-in-time strong solution to the heat equations in the two half spaces , $\mathbb{R}^3…
Thermodynamical Modeling of Multiphase Flow System with Surface Tension and Flow
Hajime Koba
We consider the governing equations for the motion of the viscous fluids in two moving domains and an evolving surface from both energetic and thermodynamic points of view. We make…
Energetic Variational Approaches for inviscid multiphase flow systems with surface flow and tension
Hajime Koba
We consider the governing equations for the motion of the inviscid fluids in two moving domains and an evolving surface from an energetic point of view. We employ our energetic var…
Energetic variational approaches for multiphase flow systems with phase transition
Hajime Koba
We study the governing equations for the motion of the fluid particles near air-water interface from an energetic point of view. Since evaporation and condensation phenomena occur…
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…
Local and Global Solvability for Advection-Diffusion Equation on an Evolving Surface with a Boundary
Hajime Koba
This paper considers the existence of local and global-in-time strong solutions to the advection-diffusion equation with variable coefficients on an evolving surface with a boundar…
Error Analysis of Approximate Operators for a Particle Method based on Voronoi Diagram
Hajime Koba, Kazuki Sato
This paper considers several approximate operators used in a particle method based on a Voronoi diagram. We introduce and study our approximate operators on gradient and Laplace op…
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…
On Generalized Compressible Fluid Systems on an Evolving Surface with a Boundary
Hajime Koba
We consider compressible fluid flow on an evolving surface with a piecewise Lipschitz-continuous boundary from an energetic point of view. We employ both an energetic variational a…
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…
Energetic variational approaches for non-Newtonian fluid systems
Hajime Koba, Kazuki Sato
We consider the dominant equations for the motion of the non-Newtonian fluid in a domain from an energetic point of view. We apply our energetic variational approaches and the firs…
On -stability of the Navier-Stokes system in exterior domains
Hajime Koba
This paper studies the stability of a stationary solution of the Navier-Stokes system with a constant velocity at infinity in an exterior domain. More precisely, this paper conside…