2 citations · 3 across the 8 of their papers we have counts for
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Solutions to a One-Dimensional Combustion-Type Free Boundary Problem via Maximal Regularity
Ken Furukawa, Yoshikazu Giga, Naoto Kajiwara
We study a one-dimensional free boundary problem arising in combustion theory, where the motion of the interface is governed by a prescribed Neumann boundary flux and a zero Dirich…
On dynamic stability of energetically stable equilibria of the Navier-Stokes-Korteweg flows
Yoshikazu Giga, Naoto Kajiwara, Kazuyuki Tsuda
We consider the Navier-Stokes-Korteweg equations in a bounded domain or a periodic cell. The pressure considered in this paper may not be monotone with respect to the density so th…
No formulation of a new phase for a free boundary problem in combustion theory
Ken Furukawa, Yoshikazu Giga, Naoto Kajiwara
We consider a free boundary problem for the heat equation with a given non-negative external heat source. On the free boundary, we impose the zero Dirichlet condition and the fixed…
Solution formula for generalized two-phase Stokes equations and its applications to maximal regularity; model problems
Naoto Kajiwara
In this paper we give a solution formula for the two-phase Stokes equations with and without surface tension and gravity in the whole space with flat interface. The solution formul…
Maximal - regularity for the Stokes equations with various boundary conditions in the half space
Naoto Kajiwara
We prove resolvent estimates and maximal - regularity estimates for the Stokes equations with Dirichlet, Neumann and Robin boundary conditions in the half space. Ea…
Higher regularity for parabolic equations based on maximal L_p-L_q spaces
Naoto Kajiwara
In this paper we prove higher regularity for 2m-th order parabolic equations with general boundary conditions. This is a kind of maximal L_p-L_q regularity with differentiability,…