Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Kurima, Shunsuke"'
This paper deals with a nonlocal model for a hyperbolic phase field system coupling the standard energy balance equation for temperature with a dynamic for the phase variable: the latter includes an inertial term and a nonlocal convolution-type opera
Externí odkaz:
http://arxiv.org/abs/2402.12145
Autor:
Kurima, Shunsuke
This paper deals with a singular nonlocal phase field system of conserved type.Colli--K.\ [Nonlinear Anal.\ 190 (2020)] have derived existence of solutions to a singular phase field system of conserved type. On the other hand, Davoli--Scarpa--Trussar
Externí odkaz:
http://arxiv.org/abs/2208.12698
Autor:
Kurima, Shunsuke
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--Grasselli--Ito [Electron. J. Differential Equations 2002, No. 100, 32 pp.] o
Externí odkaz:
http://arxiv.org/abs/2203.09874
Autor:
Kurima, Shunsuke
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:
http://arxiv.org/abs/2105.07461
Autor:
Kurima, Shunsuke
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 studied by Colli--K. [Commun. Pure Appl. Anal. 18 (2019)]. Also, a time dis
Externí odkaz:
http://arxiv.org/abs/2102.00860
Autor:
Kurima, Shunsuke
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 Colli-
Externí odkaz:
http://arxiv.org/abs/2003.05646
Autor:
Kurima, Shunsuke
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 simultaneous abstract evolution equation applying to some parabolic-hyperbolic p
Externí odkaz:
http://arxiv.org/abs/2001.00325
Autor:
Kurima, Shunsuke
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 the relative temperature coupled with a semilinear damped wave equati
Externí odkaz:
http://arxiv.org/abs/1906.06887
Autor:
Colli, Pierluigi, Kurima, Shunsuke
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 related system is highly nonlinear and admits singular potentials in the ph
Externí odkaz:
http://arxiv.org/abs/1901.10158
Autor:
Colli, Pierluigi, Kurima, Shunsuke
This paper deals with the nonlinear phase field system \begin{equation*} \begin{cases} \partial_t (\theta +\ell \varphi) - \Delta\theta = f & \mbox{in}\ \Omega\times(0, T), \\[1mm] \partial_t \varphi - \Delta\varphi + \xi + \pi(\varphi) = \ell \theta
Externí odkaz:
http://arxiv.org/abs/1811.10730