6 citations · 6 across the 8 of their papers we have counts for
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Analysis of a nonisothermal and conserved phase field system with inertial term
Pierluigi Colli, Shunsuke Kurima
This paper deals with a conserved phase field system that couples the energy balance equation with a Cahn--Hilliard type system including temperature and the inertial term for the…
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…
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…
Global existence for a phase separation system deduced from the entropy balance
Pierluigi Colli, Shunsuke Kurima
This paper is concerned with a thermomechanical model describing phase separation phenomena in terms of the entropy balance and equilibrium equations for the microforces. The relat…
Time discretization of a nonlinear phase field system in general domains
Pierluigi Colli, Shunsuke Kurima
This paper deals with the nonlinear phase field system \begin{equation*} \begin{cases} \partial_t (θ+\ell φ) - Δθ= f & \mbox{in}\ Ω\times(0, T), \\[1mm] \partial_t φ- Δφ+ ξ+ π(φ) =…