3 citations · 3 across the 2 of their papers we have counts for
2 papers
math.AP2024
On equivalence of entropy and viscosity solutions to degenerate parabolic equations and applications
Hiroyoshi Mitake, Hiroshi Watanabe
Here, we consider anisotropic degenerate parabolic-hyperbolic equations and degenerate quasilinear Hamilton-Jacobi equations. We prove the equivalence of two notions of entropy and…
math.AP2022★ 3 cited
Existence of solutions to a phase-field model of 3D-grain boundary motion governed by a regularized 1-harmonic type flow
Salvador Moll, Ken Shirakawa, Hiroshi Watanabe
In this paper we propose a quaternion formulation for the orientation variable in the three dimensional Kobayashi--Warren model for the dynamics of polycrystals. We obtain existenc…