环状体和Δ翼

IF 2.1 2区数学 Q1 MATHEMATICS Advanced Nonlinear Studies Pub Date : 2024-03-08 DOI:10.1515/ans-2023-0111

David Hoffman, Francisco Martín, Brian White

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引用次数: 0

摘要

我们描述了平均曲率流的完整平移孤子的新环形例子，以及它们与平移图族Δ翼的关系。此外，我们还将证明几个相关结果，以回答在这一研究中自然产生的问题。这些结果适用于一般平移，而不仅仅是图或环面。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Annuloids and Δ-wings

We describe new annular examples of complete translating solitons for the mean curvature flow and how they are related to a family of translating graphs, the Δ-wings. In addition, we will prove several related results that answer questions that arise naturally in this investigation. These results apply to translators in general, not just to graphs or annuli.

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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.