area conservation 1boundary conditions 1mesh-free methods 1mullins-sekerka flow 1numerical simulation 1triple junctions 1
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math.AP2026
Convergence of a minimizing movement scheme for contact-angle mean curvature flow in a smooth bounded domain
Tokuhiro Eto, Jiwoong Jang
This paper studies a Chambolle-type minimizing movement scheme for mean curvature flow with prescribed contact angle in a smooth bounded domain. The scheme is based on the capillar…
math.AP2025
On existence and uniqueness for transport equations with non-smooth velocity fields under inhomogeneous Dirichlet data
Tokuhiro Eto, Yoshikazu Giga
A transport equation with a non-smooth velocity field is considered under inhomogeneous Dirichlet boundary conditions. The spatial gradient of the velocity field is assumed in $L^{…