46 citations · 221 across the 21 of their papers we have counts for
Showing 2024 · math.APShow all
2 papers · 2 filters
math.AP2024
Existence of curvature flow with forcing in a critical Sobolev space
Yuning Liu, Yoshihiro Tonegawa
Suppose that a closed 1-rectifiable set of finite 1-dimensional Hausdorff measure and a vector field in a dimensionally critical Sobolev space are given…
math.AP2024
Gradient flow of phase transitions with fixed contact angle
Kobe Marshall-Stevens, Mayu Takada, Yoshihiro Tonegawa +1
We study the gradient flow of the Allen-Cahn equation with fixed boundary contact angle in Euclidean domains for initial data with bounded energy. Under general assumptions, we est…