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<title>Jinghua Li — Neckpinch</title><link>https://neckpinch.com/authors/jinghua-li/</link><description>New arXiv papers by Jinghua Li, from Neckpinch</description>
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<item><title>Translating solutions for a class of quasilinear parabolic initial boundary value problems in Lorentz-Minkowski plane ℝ²₁</title><link>https://neckpinch.com/papers/2105.09482/</link><guid isPermaLink="false">arxiv:2105.09482</guid><pubDate>Thu, 20 May 2021 00:00:00 GMT</pubDate><description>Ya Gao, Jinghua Li, Jing Mao — In this paper, we investigate the evolution of spacelike curves in Lorentz-Minkowski plane ℝ²₁ along prescribed geometric flows (including the classical curve shortening flow or mean curvature flow as a special case), which correspond to a class of quasilinear parabolic initial boundary value problems, and can prove that this flow exists for all time. Moreover, we can also show that the evolving spacelike curves converge to a spacelike straight line or a spacelike Grim Reaper curve as time tends to infinity.</description><category>Mean curvature flow</category><category>Curve shortening</category><category>Self-shrinkers &amp; translators</category><category>Long-time existence &amp; convergence</category><category>Physics</category></item>
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