Results 121 to 130 of about 621,908 (204)
Eigenvaluues monotonicity of Witten-Laplacian along the mean curvature flow [PDF]
arXiv, 2019 In this paper, we derive the evolution equation for the first eigenvalue of the Witten-Laplace operator acting on the space of functions along the mean curvature flow on a closed oriented manifold. We show some interesting monotonic quantities under the mean curvature flow.
arxiv
The Mean Curvature Flow in Minkowski Spaces [PDF]
arXiv, 2017 Studying the geometric flow plays a powerful role in mathematics and physics. In this paper, we introduce the mean curvature flow on Finsler manifolds and give a number of examples of the mean curvature flow. For Minkowski spaces, a special case of Finsler manifolds, we will prove the existence and uniqueness for solution of the mean curvature flow and
arxiv
Eventual Regularization of Fractional Mean Curvature Flow [PDF]
arXiv, 2019 We show that any open set that is a finite distance away from a Lipschitz subgraph will become a Lipschitz subgraph after flowing under fractional mean curvature flow for a finite, universal time. Our proof is quantitative and inherently nonlocal, as the corresponding statement is false for classical mean curvature flow.
arxiv
The preservability of the curvature-adaptedness along the mean curvature flow [PDF]
arXiv, 2020 In this paper, we investigate the preservability of the curvature-adaptedness along the mean curvature flow starting from a compact curvature-adapted hypersurface in locally symmetric spaces, where the curvature-adaptedness means that the shape operator and the normal Jacobi operator of the hypersurface commute.
arxiv
Deforming Area Preserving Diffeomorphism of Surfaces by Mean Curvature Flow [PDF]
, 2001 Mu‐Tao Wang
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Investigating the effect of buried walls through rockfill detention structures on the longitudinal water surface profile [PDF]
Journal of Hydraulic StructuresRockfill structures in river training projects, such as detention dams, gabions, and levees, play a significant role in flood control. One of the common types of these structures is porous flood mitigation dams.
Jafar Chabokpour, Omar Minaei
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Mean curvature blow up in mean curvature flow
, 2009 In this note we establish that finite-time singularities of the mean curvature flow of compact Riemannian submanifolds are characterised by the blow up of the mean curvature.
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On mean curvature flow of spacelike hypersurfaces in asymptotically flat spacetimes [PDF]
, 1993 Klaus Ecker
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A planarity estimate for pinched solutions of mean curvature flow
Duke mathematical journal, 2022 Keaton Naff
semanticscholar +1 more source