Antil, Harbir; Kubota, Shodai; Shirakawa, Ken; Yamazaki, Noriaki Constrained optimization problems governed by PDE models of grain boundary motions. (English) Zbl 07511754 Adv. Nonlinear Anal. 11, 1249-1286 (2022). MSC: 35K51 35K59 35Q93 49J20 49K20 74N05 PDF BibTeX XML Cite \textit{H. Antil} et al., Adv. Nonlinear Anal. 11, 1249--1286 (2022; Zbl 07511754) Full Text: DOI OpenURL
Antil, Harbir; Kubota, Shodai; Shirakawa, Ken; Yamazaki, Noriaki Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems. (English) Zbl 1483.35297 Math. Control Relat. Fields 11, No. 2, 253-289 (2021). MSC: 35Q93 35Q74 35B65 35K61 49J20 49J45 49K20 74N05 74N20 PDF BibTeX XML Cite \textit{H. Antil} et al., Math. Control Relat. Fields 11, No. 2, 253--289 (2021; Zbl 1483.35297) Full Text: DOI arXiv OpenURL
Shirakawa, Ken; Watanabe, Hiroshi Energy-dissipative solution to a one-dimensional phase field model of grain boundary motion. (English) Zbl 1275.35132 Discrete Contin. Dyn. Syst., Ser. S 7, No. 1, 139-159 (2014). MSC: 35K87 35R06 35K67 35K51 35K59 PDF BibTeX XML Cite \textit{K. Shirakawa} and \textit{H. Watanabe}, Discrete Contin. Dyn. Syst., Ser. S 7, No. 1, 139--159 (2014; Zbl 1275.35132) Full Text: DOI OpenURL
Shirakawa, K.; Watanabe, H.; Yamazaki, N. Solvability of one-dimensional phase field systems associated with grain boundary motion. (English) Zbl 1270.35008 Math. Ann. 356, No. 1, 301-330 (2013). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35A01 35K87 35R06 35K67 35K20 PDF BibTeX XML Cite \textit{K. Shirakawa} et al., Math. Ann. 356, No. 1, 301--330 (2013; Zbl 1270.35008) Full Text: DOI OpenURL