Moll, Salvador; Shirakawa, Ken; Watanabe, Hiroshi Kobayashi-Warren-Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation. (English) Zbl 07472452 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 07472452) 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 07426471 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 07426471) 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
Watanabe, Hiroshi; Shirakawa, Ken Large-time behavior for a PDE model of isothermal grain boundary motion with a constraint. (English) Zbl 1343.35030 Discrete Contin. Dyn. Syst. 2015, Suppl., 1009-1018 (2015). MSC: 35B40 35K87 35K67 35K20 PDF BibTeX XML Cite \textit{H. Watanabe} and \textit{K. Shirakawa}, Discrete Contin. Dyn. Syst. 2015, 1009--1018 (2015; Zbl 1343.35030) Full Text: DOI OpenURL