Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Noriaki Yamazaki"'
Publikováno v:
AIMS Mathematics, Vol 1, Iss 3, Pp 288-317 (2016)
In a numerical study, we consider the Allen–Cahn equation with a double-obstacle constraint. The constraint is a multivalued function that is provided by the subdi erential of the indicator function on a closed interval. Therefore, performing a num
Externí odkaz:
https://doaj.org/article/2a17f181547341298608ad166700279e
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 29, Iss 1, Pp 51-63 (2009)
We consider the grain boundary motion model of Kobayashi-WarrenCarter type, which arises in material sciences. The system, which consists of two nonlinear parabolic PDEs with singularity, is of the phase-field type. In this paper we show the global e
Externí odkaz:
https://doaj.org/article/defbe2d2c4f844d7b9d32d3585551f72
Autor:
Noriaki Yamazaki
Publikováno v:
Electronic Journal of Differential Equations, Vol 2004, Iss 107, Pp 1-22 (2004)
We study a nonlinear evolution equation associated with time-dependent subdifferential in a separable Hilbert space. In particular, we consider an asymptotically periodic system, which means that time-dependent terms converge to time-periodic terms a
Externí odkaz:
https://doaj.org/article/ea903f5c1c7142fe85810bb73ab3cfe1
Publikováno v:
Abstract and Applied Analysis, Vol 2004, Iss 8, Pp 651-682 (2004)
A 1-harmonic map flow equation, a gradient system of total variation where values of unknowns are constrained in a compact manifold in ℝN, is formulated by the use of subdifferentials of a singular energythe total variation. An abstract convergence
Externí odkaz:
https://doaj.org/article/36dd4d3990cb40d2bc9b74d7430023aa
Autor:
Noriaki Yamazaki
Publikováno v:
Abstract and Applied Analysis, Vol 7, Iss 9, Pp 453-473 (2002)
In a real separable Hilbert space, we consider nonautonomous evolution equations including time-dependent subdifferentials and their nonmonotone multivalued perturbations. In this paper, we treat the multivalued dynamical systems associated with time
Externí odkaz:
https://doaj.org/article/05bcba6d7948427c948dad35eb1a69e6
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We consider positive solutions and optimal control problem for a second order impulsive differential equation with mixed monotone terms. Firstly, by using a fixed point theorem of mixed monotone operator, we study positive solutions of the boundary v
Externí odkaz:
https://doaj.org/article/acefce82e36c4d65b53e5e4f1c296be8
Publikováno v:
Advances in Nonlinear Analysis. 11:1249-1286
In this article, we consider a class of optimal control problems governed by state equations of Kobayashi-Warren-Carter-type. The control is given by physical temperature. The focus is on problems in dimensions less than or equal to 4. The results ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::86d9219e036bc151d39c52e098c6ca59
https://doi.org/10.1515/anona-2022-0242
https://doi.org/10.1515/anona-2022-0242
Publikováno v:
Advances in Mathematical Sciences & Applications; 2023, Vol. 32 Issue 2, p343-370, 28p
Publikováno v:
Mathematical Control & Related Fields. 11:17-53
This paper is devoted to the study of a class of optimal control problems governed by 1–D Kobayashi–Warren–Carter type systems, which are based on a phase-field model of grain boundary motion, proposed by [Kobayashi et al, Physica D, 140, 141
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::55ce38cfb2367869e97bf22c03820a40
https://doi.org/10.3934/mcrf.2020036
https://doi.org/10.3934/mcrf.2020036
In this paper, we consider optimal control problems for the one-dimensional Frémond model for shape memory alloys. This model is constructed in terms of basic functionals like free energy and pseudo-potential of dissipation. The state problem is exp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51996df99737ced9f25fe58a3d3600c4
