Research profile

Jinghua Li

Works on curve shortening, physics and self-shrinkers & translators.

NP-RC-262343

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  1. Jing Mao

    1 joint worklatest 2021

  2. Ya Gao

    1 joint worklatest 2021

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2021

math.DGWider flowsarXiv:2105.09482

Translating solutions for a class of quasilinear parabolic initial boundary value problems in Lorentz-Minkowski plane

Ya Gao, Jinghua Li, Jing Mao

In this paper, we investigate the evolution of spacelike curves in Lorentz-Minkowski plane 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.

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NP-RC-262343 is Jinghua Li's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

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