6 citations · 7 across the 11 of their papers we have counts for
4 papers · 1 filter
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) =…
Asymptotic analysis for Cahn--Hilliard type phase field systems related to tumor growth in general domains
Shunsuke Kurima
This article considers a limit system by passing to the limit in the following Cahn--Hilliard type phase field system related to tumor growth as : \begin{equation*} \be…
Existence and energy estimates of weak solutions for nonlocal Cahn--Hilliard equations on unbounded domains
Shunsuke Kurima
This paper considers the initial-boundary value problem for the nonlocal Cahn--Hilliard equation $$ \partial_tφ+ (-Δ+1)(a(\cdot)φ-J\astφ+ G'(φ)) = 0 \quad \mbox{in}\ Ω\times(0, T)…
Global weak solutions to a 3-dimensional degenerate and singular chemotaxis-Navier--Stokes system with logistic source
Shunsuke Kurima, Masaaki Mizukami
This paper considers the degenerate and singular chemotaxis-Navier--Stokes system with logistic term , $x \in Ω,\ t…