Moll, Salvador; Shirakawa, Ken; Watanabe, Hiroshi Kobayashi-Warren-Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation. (English) Zbl 1483.35110 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112722, 44 p. (2022). MSC: 35K51 35K59 35R06 PDF BibTeX XML Cite \textit{S. Moll} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112722, 44 p. (2022; Zbl 1483.35110) Full Text: DOI arXiv 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
Moll, Salvador; Shirakawa, Ken; Watanabe, Hiroshi Energy dissipative solutions to the Kobayashi-Warren-Carter system. (English) Zbl 1386.35250 Nonlinearity 30, No. 7, 2752-2784 (2017). MSC: 35K87 35R06 35K67 PDF BibTeX XML Cite \textit{S. Moll} et al., Nonlinearity 30, No. 7, 2752--2784 (2017; Zbl 1386.35250) Full Text: DOI arXiv OpenURL
Moll, Salvador; Shirakawa, Ken Existence of solutions to the Kobayashi-Warren-Carter system. (English) Zbl 1307.35148 Calc. Var. Partial Differ. Equ. 51, No. 3-4, 621-656 (2014). MSC: 35K87 35R06 35K67 35R35 35K51 35K65 PDF BibTeX XML Cite \textit{S. Moll} and \textit{K. Shirakawa}, Calc. Var. Partial Differ. Equ. 51, No. 3--4, 621--656 (2014; Zbl 1307.35148) Full Text: DOI 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