Salvador Moll, Ken Shirakawa, Hiroshi Watanabe. Existence of Solutions to a Phase-Field Model of 3D Grain Boundary Motion Governed by a Regularized 1-Harmonic Type Flow. Journal of Nonlinear Science. 2023. 33. 5
Hiroshi Watanabe. Particular solutions to one-dimensional Cauchy problems for scalar parabolic-hyperbolic conservation laws and their applications. Nonlinear Differential Equations and Applications NoDEA. 2022. 29. 4
Salvador Moll, Ken Shirakawa, Hiroshi Watanabe. Kobayashi-Warren-Carter type systems with nonhomogeneous Dirichlet boundary data for crystalline orientation. Nonlinear Analysis. 2022. 217. 112722-112722
Hiroshi Watanabe. Traveling waves to one-dimensional Cauchy problems for scalar parabolic-hyperbolic conservation laws. J. Differential Equations. 2021. 286. 474-493
Existence, uniqueness and structure of entropy solutions to parabolic-hyperbolic conservation laws
(RIMS Conference Multidisciplinary Research on Nonlinear Phenomena: Modeling, Analysis and Applications 2023)
Global existence and large-time behavior of solutions to a 3D-model associated with grain boundary motion
(RIMS研究集会(公開型)発展方程式とその周辺 - エネルギー構造と解の定量的解析 - 2023)