[PDF][PDF] Evolution of networks with multiple junctions
arXiv:1611.08254v2 [math.DG] 31 May 2018 Page 1 arXiv:1611.08254v2 [math.DG] 31 May
2018 Evolution of networks with multiple junctions Carlo Mantegazza ∗ Matteo Novaga † …
2018 Evolution of networks with multiple junctions Carlo Mantegazza ∗ Matteo Novaga † …
Weak-strong uniqueness for the mean curvature flow of double bubbles
S Hensel, T Laux - Interfaces and Free Boundaries, 2022 - ems.press
We derive a weak-strong uniqueness principle for BV solutions to multiphase mean
curvature flow of triple line clusters in three dimensions. Our proof is based on the explicit …
curvature flow of triple line clusters in three dimensions. Our proof is based on the explicit …
Łojasiewicz–Simon inequalities for minimal networks: stability and convergence
A Pluda, M Pozzetta - Mathematische Annalen, 2024 - Springer
We investigate stability properties of the motion by curvature of planar networks. We prove
Łojasiewicz–Simon gradient inequalities for the length functional of planar networks with …
Łojasiewicz–Simon gradient inequalities for the length functional of planar networks with …
Existence and uniqueness of the motion by curvature of regular networks
Existence and uniqueness of the motion by curvature of regular networks Page 1 Interfaces
Free Bound. 25 (2023), 109–154 DOI 10.4171/IFB/477 © 2022 European Mathematical Society …
Free Bound. 25 (2023), 109–154 DOI 10.4171/IFB/477 © 2022 European Mathematical Society …
Long time behavior for a curvature flow of networks related to grain bundary motion with the effect of lattice misorientations
T Kagaya, M Mizuno, K Takasao - arXiv preprint arXiv:2112.11069, 2021 - arxiv.org
The mathematical model of grain boundary motion, including lattice misorientations' effect, is
considered. When time-dependent lattice misorientations are state variables of the surface …
considered. When time-dependent lattice misorientations are state variables of the surface …
De Giorgi's inequality for the thresholding scheme with arbitrary mobilities and surface tensions
We provide a new convergence proof of the celebrated Merriman–Bence–Osher scheme for
multiphase mean curvature flow. Our proof applies to the new variant incorporating a …
multiphase mean curvature flow. Our proof applies to the new variant incorporating a …
Some aspects of anisotropic curvature flow of planar partitions
G Bellettini, SY Kholmatov - arXiv preprint arXiv:2304.13454, 2023 - arxiv.org
arXiv:2304.13454v1 [math.DG] 26 Apr 2023 Page 1 SOME ASPECTS OF ANISOTROPIC
CURVATURE FLOW OF PLANAR PARTITIONS GIOVANNI BELLETTINI AND SHOKHRUKH …
CURVATURE FLOW OF PLANAR PARTITIONS GIOVANNI BELLETTINI AND SHOKHRUKH …
Type-0 singularities in the network flow–Evolution of trees
The motion by curvature of networks is the generalization to finite union of curves of the
curve shortening flow. This evolution has several peculiar features, mainly due to the …
curve shortening flow. This evolution has several peculiar features, mainly due to the …
Singularities of the network flow with symmetric initial data
M Novaga, L Sciaraffia - Interfaces and Free Boundaries, 2024 - ems.press
Singularities of the network flow with symmetric initial data Page 1 Interfaces Free Bound. (Online
first) DOI 10.4171/IFB/526 © 2024 European Mathematical Society Published by EMS Press …
first) DOI 10.4171/IFB/526 © 2024 European Mathematical Society Published by EMS Press …
Curvature driven interface evolution: Uniqueness properties of weak solution concepts
S Hensel - 2021 - research-explorer.ista.ac.at
The present thesis is concerned with the derivation of weak-strong uniqueness principles for
curvature driven interface evolution problems not satisfying a comparison principle. The …
curvature driven interface evolution problems not satisfying a comparison principle. The …