Dynamics of the closed hypersurfaces in central force fields

W Yan, J Liu, W Li - Mathematische Annalen, 2024 - Springer
We study the motion of closed hypersurfaces with friction in central force fields. This kind of
closed hypersurfaces can be considered as an electrically charged membrane with a …

[HTML][HTML] The motion of closed hypersurfaces in the central force fields

W Yan - Journal of Differential Equations, 2016 - Elsevier
This paper studies the large time existence for the motion of closed hypersurfaces in a
radially symmetric potential. Physically, this surface can be considered as an electrically …

Generalized Li− Yau estimates and Huisken's monotonicity formula

PWY Lee - ESAIM: Control, Optimisation and Calculus of …, 2017 - esaim-cocv.org
We prove a generalization of the Li− Yau estimate for a broad class of second order linear
parabolic equations. As a consequence, we obtain a new Cheeger− Yau inequality and a …

The curve shortening problem associated to a density

V Miquel, F Vinado-Lereu - Calculus of Variations and Partial Differential …, 2016 - Springer
In\mathbb R^ n R n with a density e^ ψ e ψ, we study the mean curvature flow associated to
the density (ψ ψ-mean curvature flow or ψ ψ MCF) of a hypersurface. The main results …

The blow-up of the conformal mean curvature flow

X Li, D Zhang - Science China Mathematics, 2020 - Springer
In this paper, we introduce and study the conformal mean curvature flow of submanifolds of
higher codimension in the Euclidean space ℝ n. This kind of flow is a special case of a …

The curve shortening flow with density of a spherical curve in codimension two

F Viñado-Lereu - Journal of Evolution Equations, 2021 - Springer
In the present paper we carry out a systematic study about the flow of a spherical curve by
the mean curvature flow with density in a 3-dimensional rotationally symmetric space with …

Gaussian mean curvature flow for submanifolds in space forms

A Borisenko, V Rovenski - Geometry and its Applications, 2014 - Springer
In this chapter we investigate the convergence of the mean curvature flow of submanifolds in
Euclidean and hyperbolic spaces with Gaussian density. For Euclidean case, we prove that …

On the mean curvature flow of submanifolds in the standard Gaussian space

AM Li, X Li, D Zhang - arXiv preprint arXiv:2007.03187, 2020 - arxiv.org
In this paper, we study the regular geometric behavior of the mean curvature flow (MCF) of
submanifolds in the standard Gaussian metric space $({\mathbb R}^{m+ p}, e^{-| x|^ 2/m}\ol …

On the Mean Curvature Flow of Submanifolds in the Standard Gaussian Space

AM Li, X Li, D Zhang - Results in Mathematics, 2020 - Springer
In this paper, we study the regular geometric behavior of the mean curvature flow (MCF) of
submanifolds in the standard Gaussian metric space (R^ m+ p, e^-| x|^ 2/mg)(R m+ p, e-| x …

Flujo por la curvatura media en una variedad con densidad.

FV Lereu - 2013 - uv.es
Flujo por la curvatura media en una variedad con densidad. Page 1 Flujo por la curvatura
media en una variedad con densidad. Francisco Vinado Lereu Dpt. de Geometrıa y Topologıa …