Salvador Moll, Ken Shirakawa, Hiroshi Watanabe. Large-time behavior for a phase-field system of 3D-grain boundary motion. SIAM Journal on Mathematical Analysis. 2024. 56. 5. 6885-6914
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
On some scalar parabolic-hyperbolic conservation laws
(Italian-Japanese Workshop on Variational Perspectives for PDEs 2024)
A constrained gradient system associated with 3D grain boundary motion
(The 81th Fujihara seminar, ``Mathematical Aspects for Interfaces and Free Boundaries'' 2024)