Classification of Lagrangian translators and Lagrangian self-expanders in $\mathbb{C}^{2}$
In this paper, we obtain several classification results of $2$-dimensional complete Lagrangian translators and lagrangian self-expanders with constant squared norm $|\vec{H}|^{2}$ of the mean curvature vector in $\mathbb{C}^{2}$ by using a new Omori-Yau ...
Li, Zhi, Wei, Guoxin
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The DrosDel collection: a set of P-element insertions for generating custom chromosomal aberrations in Drosophila melanogaster. [PDF]
Ryder E +36 more
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Time global existence of generalized BV flow via the Allen--Cahn equation
We show that a mean curvature flow obtained as the limit of the Allen--Cahn equation is not only a Brakke flow but also a generalized BV flow proposed by Stuvard and Tonegawa.Comment: 15 pages. This paper draws heavily from arXiv:2305.12374.
Tashiro, Kiichi
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Gap theorems for complete self-shrinkers of $r$-mean curvature flows
In this paper, we prove gap results for complete self-shrinkers of the $r$-mean curvature flow involving a modified second fundamental form. These results extend previous results for self-shrinkers of the mean curvature flow due to Cao-Li and Cheng-Peng.
Alencar, Hilário +2 more
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Varifold solutions to volume-preserving mean curvature flow: existence and weak-strong uniqueness. [PDF]
Poiatti A.
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Propagation and blocking of bistable waves by variable diffusion. [PDF]
Nakajima K, Ninomiya H.
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ウゴク ユウグ ムービング トイ ノ デザイン ト ソノ ユレ ノ ブンセキ Seesaw Rocker ノ デザイン ト ソノ ケンショウ [PDF]
Hosono, Yukitoshi +2 more
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Gauss curvature type flow and Alexandrov-Fenchel inequalities in the hyperbolic space
We consider the Gauss curvature type flow for uniformly convex hypersurfaces in the hyperbolic space $\mathbb{H}^{n+1}\ (n\geqslant 2)$. We prove that if the initial closed hypersurface is smooth and uniformly convex, then the smooth solution exists for ...
Luo, Tianci, Zhou, Rong
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Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torus. [PDF]
De Gennaro D, Diana A, Kubin A, Kubin A.
europepmc +1 more source

