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<p>In this paper we prove that in <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="526_2025_3101_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathbb {R}^3\)</EquationSource> </InlineEquation> the minimizing movement solutions for mean curvature motion of droplets, obtained in Bellettini (JMPA 117:1–58, 2018), coincide with the smooth mean curvature flow of droplets with a prescribed (possibly nonconstant) contact angle.</p>

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Consistency of minimizing movements with smooth mean curvature flow of droplets with prescribed contact angle in \(\mathbb {R}^3\)

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月9日

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  • Shokhrukh Yu Kholmatov

摘要

In this paper we prove that in \(\mathbb {R}^3\) the minimizing movement solutions for mean curvature motion of droplets, obtained in Bellettini (JMPA 117:1–58, 2018), coincide with the smooth mean curvature flow of droplets with a prescribed (possibly nonconstant) contact angle.