Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Shunsuke Kurima"'
Autor:
Shunsuke Kurima
Publikováno v:
Electronic Journal of Differential Equations, Vol 2023, Iss 40,, Pp 1-18 (2023)
Externí odkaz:
https://doaj.org/article/62dac5e2a2b74fac854c11f60b804bd0
Autor:
Shunsuke Kurima
Publikováno v:
Electronic Journal of Differential Equations, Vol 2020, Iss 96,, Pp 1-26 (2020)
Recently, a time discretization of simultaneous abstract evolution equations applied to parabolic-hyperbolic phase-field systems has been studied. This article focuses on a time discretization of an abstract problem that has application to lineari
Externí odkaz:
https://doaj.org/article/4bb511f536b3414cbcca9969bcfb0f8d
Autor:
Shunsuke Kurima
Publikováno v:
Journal of Evolution Equations. 21:1755-1778
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 nonlinear diffusion equation by applying an abstract theory by Co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2abb711fd14d18611a4450bf21cbde9f
https://doi.org/10.1007/s00028-020-00651-5
https://doi.org/10.1007/s00028-020-00651-5
Autor:
Shunsuke Kurima
Publikováno v:
Journal of Mathematical Analysis and Applications. 478:108-132
This paper considers the initial-boundary value problem for the nonlocal Cahn–Hilliard equation ∂ t φ + ( − Δ + 1 ) ( a ( ⋅ ) φ − J ⁎ φ + G ′ ( φ ) ) = 0 in ( 0 , T ) × Ω in an unbounded domain Ω ⊂ R N with smooth bounded boun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a6f9a0e0ad81915d2caf86a012fe8b3
https://doi.org/10.1016/j.jmaa.2019.05.019
https://doi.org/10.1016/j.jmaa.2019.05.019
Autor:
Shunsuke Kurima, Masaaki Mizukami
Publikováno v:
Nonlinear Analysis: Real World Applications. 46:98-115
This paper considers the degenerate and singular chemotaxis–Navier–Stokes system with logistic term n t + u ⋅ ∇ n = Δ n m − χ ∇ ⋅ ( n ∇ c ) + κ n − μ n 2 , x ∈ Ω , t > 0 , c t + u ⋅ ∇ c = Δ c − n c , x ∈ Ω , t > 0 ,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::74e26aa27609a25bd9c0452ca7abb8d2
https://doi.org/10.1016/j.nonrwa.2018.09.011
https://doi.org/10.1016/j.nonrwa.2018.09.011
Autor:
Shunsuke Kurima
Publikováno v:
Mathematical Methods in the Applied Sciences. 42:2431-2454
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 $\beta\searrow0$: \begin{equation*} \begin{cases} \alpha\partial_{t} \mu_{\beta} + \partial_{t} \varphi_{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1d8e02f08d95f06ba98a303f1e57753f
https://doi.org/10.1002/mma.5520
https://doi.org/10.1002/mma.5520
Autor:
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 $\theta$ under time derivative. Although the system has a difficult mathematical point caused by the combin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13ba236644d519334a47c5175333a6e4
Publikováno v:
Mathematical Methods in the Applied Sciences. 41:3138-3154
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf48bc7bb5d31db0ff25c89a9cb1bcc6
https://doi.org/10.1002/mma.4807
https://doi.org/10.1002/mma.4807
Publikováno v:
Mathematical Methods in the Applied Sciences. 41:2590-2601
This paper develops an abstract theory for subdifferential operators to give existence and uniqueness of solutions to the initial-boundary problem (P) for the nonlinear diffusion equation in an unbounded domain $\Omega\subset\mathbb{R}^N$ ($N\in{\mat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4fdcf02dd8a0a2a4232ac9009383443e
https://doi.org/10.1002/mma.4760
https://doi.org/10.1002/mma.4760
Autor:
SHUNSUKE KURIMA
Publikováno v:
Advances in Mathematical Sciences & Applications; 2022, Vol. 31 Issue 2, p481-500, 20p