6 citations · 6 across the 8 of their papers we have counts for
14 papers
Existence for a nonlocal Penrose--Fife type phase field system with inertial term
Shunsuke Kurima
This article deals with a nonlocal Penrose-Fife type phase field system with inertial term. We do not know whether we can prove existence of solutions in reference to Colli--Grasse…
Existence for a singular nonlocal phase field system with inertial term
Shunsuke Kurima
In this paper we deal with a singular nonlocal phase field system with inertial term. The system has the logarithm of the absolute temperature under time derivative. Although t…
Time discretization of a nonlocal phase-field system with inertial term
Shunsuke Kurima
Time discretizations of phase-field systems have been studied. For example, a time discretization and an error estimate for a parabolic-parabolic phase-field system have been studi…
Convergence of a Cahn-Hilliard type system to a parabolic-elliptic chemotaxis system with nonlinear diffusion
Shunsuke Kurima
This paper deals with a parabolic-elliptic chemotaxis system with nonlinear diffusion. It was proved that there exists a solution of a Cahn-Hilliard system as an approximation of a…
Time discretization of an abstract problem applying to the linearized equations of coupled sound and heat flow
Shunsuke Kurima
In this paper we deal with an abstract problem which includes the linearized equations of coupled sound and heat flow as an example. Recently, a time discretization of a simultaneo…
Time discretization of an initial value problem for a simultaneous abstract evolution equation applying to parabolic-hyperbolic phase-field systems
Shunsuke Kurima
This article deals with a simultaneous abstract evolution equation. This includes a parabolic-hyperbolic phase-field system as an example which consists of a parabolic equation for…