Results 61 to 70 of about 577,330 (363)

A convergent evolving finite element algorithm for mean curvature flow of closed surfaces [PDF]

Numerische Mathematik, 2018
A proof of convergence is given for semi- and full discretizations of mean curvature flow of closed two-dimensional surfaces. The numerical method proposed and studied here combines evolving finite elements, whose nodes determine the discrete surface ...
Bal'azs Kov'acs, Buyang Li, C. Lubich
semanticscholar   +1 more source

Diameter Estimate in Geometric Flows

Mathematics, 2023
We prove the upper and lower bounds of the diameter of a compact manifold (M,g(t)) with dimRM=n(n≥3) and a family of Riemannian metrics g(t) satisfying some geometric flows. Except for Ricci flow, these flows include List–Ricci flow, harmonic-Ricci flow,
Shouwen Fang, Tao Zheng
doaj   +1 more source

Scherk-like translators for mean curvature flow [PDF]

Journal of differential geometry, 2019
We prove existence and uniqueness for a two-parameter family of translators for mean curvature flow. We get additional examples by taking limits at the boundary of the parameter space.
D. Hoffman, F. Mart'in, B. White
semanticscholar   +1 more source

Graphical translators for mean curvature flow [PDF]

Calculus of Variations and Partial Differential Equations, 2019
In this paper we provide a full classification of complete translating graphs in $\mathbf{R}^3$. We also construct two $(n-1)$-parameter families of new examples of translating graphs in $\mathbf{R}^{n+1}$.
Hoffman, D., Ilmanen, T., Martín, F., White, B.   +3 more
openaire   +3 more sources

Notes on Translating Solitons for Mean Curvature Flow [PDF]

Minimal Surfaces: Integrable Systems and Visualisation, 2019
The purpose of these notes is to provide an introduction to those who want to learn more about translating solitons for the mean curvature flow in $\mathbb{R}^3$, particularly those which are complete graphs over domains in $\mathbb{R}^2$.
D. Hoffman, T. Ilmanen, F. Mart'in, B. White   +3 more
semanticscholar   +1 more source

The mean curvature flow in Minkowski spaces [PDF]

Science China Mathematics, 2018
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
Zeng, Fanqi, He, Qun, Chen, Bin
openaire   +2 more sources

Plasmodium falciparum gametogenesis essential protein 1 (GEP1) is a transmission‐blocking target

FEBS Letters, EarlyView.
This study shows Plasmodium falciparum GEP1 is vital for activating sexual stages of malarial parasites even independently of a mosquito factor. Knockout parasites completely fail gamete formation even when a phosphodiesterase inhibitor is added. Two single‐nucleotide polymorphisms (V241L and S263P) are found in 12%–20% of field samples.
Frederik Huppertz, Milagros Siebeck Caturelli, Lina S. Lehmann, Florian Kurth, Alexander G. Maier, Kai Matuschewski   +5 more
wiley   +1 more source

Uniqueness and Pseudolocality Theorems of the Mean Curvature Flow

, 2006
Mean curvature flow evolves isometrically immersed base manifolds $M$ in the direction of their mean curvatures in an ambient manifold $\bar{M}$. If the base manifold $M$ is compact, the short time existence and uniqueness of the mean curvature flow are ...
Chen, Bing-Long, Yin, Le
core   +3 more sources

Linked dimers of the AAA+ ATPase Msp1 reveal energetic demands and mechanistic plasticity for substrate extraction from lipid bilayers

FEBS Letters, EarlyView.
Cells must clear mislocalized or faulty proteins from membranes to survive. The AAA+ ATPase Msp1 performs this task, but dissecting how its six subunits work together is challenging. We engineered linked dimers with varied numbers of functional subunits to reveal how Msp1 subunits cooperate and use energy to extract proteins from the lipid bilayer ...
Deepika Gaur, Brian Acquaviva, Baylee A. Smith, Nathan Walker, Isabella Walter, Matthew L. Wohlever   +5 more
wiley   +1 more source

Convergence rate of the weighted conformal mean curvature flow

Analysis and Geometry in Metric Spaces
In this article, we study the convergence rate of the following Yamabe-type flow Rϕ(t)m=0inMand∂∂tg(t)=2(hϕ(t)m−Hϕ(t)m)g(t)∂∂tϕ(t)=m(Hϕ(t)m−hϕ(t)m)on∂M{R}_{\phi \left(t)}^{m}=0\hspace{0.33em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}M\hspace ...
Hamanaka Shota, Tung Ho Pak
doaj   +1 more source