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pro vyhledávání: '"Nakayashiki, Ryota"'
Autor:
Nakayashiki, Ryota, Shirakawa, Ken
In this paper, we consider a coupled system, known as Kobayashi--Warren--Carter system, abbreviated as the KWC system. KWC system consists of an Allen--Cahn type equation and a singular diffusion equation, and it was proposed by [Kobayashi et al, Phy
Externí odkaz:
http://arxiv.org/abs/2308.08770
In this paper, we consider a class of optimal control problems governed by 1D parabolic state-systems of KWC types with dynamic boundary conditions. The state-systems are based on a phase-field model of grain boundary motion, proposed in [Kobayashi--
Externí odkaz:
http://arxiv.org/abs/2010.00777
We combine the total variation flow suitable for crystal modeling and image analysis with the dynamic boundary conditions. We analyze the behavior of facets at the parts of the boundary where these conditions are imposed. We devote particular attenti
Externí odkaz:
http://arxiv.org/abs/1901.06890
Autor:
Nakayashiki, Ryota, Shirakawa, Ken
In this paper, we propose a weak formulation of the singular diffusion equation subject to the dynamic boundary condition. The weak formulation is based on a reformulation method by an evolution equation including the subdifferential of a governing c
Externí odkaz:
http://arxiv.org/abs/1705.02546
In this paper, we consider a class of coupled systems of PDEs, denoted by (ACE)$_{\varepsilon}$ for $ \varepsilon \geq 0 $. For each $ \varepsilon \geq 0 $, the system (ACE)$_{\varepsilon}$ consists of an Allen-Cahn type equation in a bounded spacial
Externí odkaz:
http://arxiv.org/abs/1610.08687
Publikováno v:
In Journal of Differential Equations 5 December 2020 269(12):10587-10629
Publikováno v:
Hokkaido University Preprint Series in Mathematics. 1120:1-42
We combine the total variation flow suitable for crystal modeling and image analysis withthedynamicboundaryconditions. Weanalyzethebehavioroffacetsatthepartsofthe boundarywheretheseconditionsareimposed. Wedevoteparticularattentiontotheradially symme
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::c8bc2cf2d2cef7f6a6eb620f741ea73d
http://hdl.handle.net/2115/72348
http://hdl.handle.net/2115/72348
Autor:
Nakayashiki, Ryota
Publikováno v:
数理解析研究所講究録. 2090:144-161
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::dcab1c5e39fffd62a97e7bcfd62be005
http://hdl.handle.net/2433/251627
http://hdl.handle.net/2433/251627
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