46 citations · 221 across the 21 of their papers we have counts for
23 papers
Geometric flows of branched transportation networks
Julius Lohmann, Yoshihiro Tonegawa
The branched transport problem is a nonconvex and nonsmooth variational optimization problem on normal -currents in with prescribed boundary. The optimality is wi…
Ferronematics: integrality of the limiting interface in the strong coupling regime
Federico Luigi Dipasquale, Yoshihiro Tonegawa
We consider a vectorial energy functional proposed in the physical literature as a simplified model for thin films of ferronematics -- composite materials formed by dispersing magn…
The epsilon-regularity theorem for Brakke flows near triple junctions
Salvatore Stuvard, Yoshihiro Tonegawa
We establish the -regularity theorem for -dimensional, possibly forced, Brakke flows near a static, multiplicity-one triple junction. This result provides the parab…
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…
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…
End-time regularity theorem for Brakke flows
Salvatore Stuvard, Yoshihiro Tonegawa
For a general -dimensional Brakke flow in locally close to a -dimensional plane in the sense of measure, it is proved that the flow is represented locally as a…