一类双曲平均曲率流的对称与整体解

Abstract

Abstract:

In this paper, we consider a class of one dimensional hyperbolic mean curvature flow, which is related to the Lagrangian parabolic mean curvature flow. First we derive the point Lie symmetries of this flow and obtain several ordinary differential equations. The existence of solutions is investigated. Finally, the global BV solutions, the lifespan for classical solutions and global existence of smooth solutions for this hyperbolic mean curvature flow are studied in detail.

Key words: Hyperbolic mean curvature flow, Symmetry, Global solution, Blow up of solution

CLC Number:

O175.2

Chunlei He,Zihui Liu. Symmetries and Global Solutions for a Class of Hyperbolic Mean Curvature Flow[J].Acta mathematica scientia,Series A, 2022, 42(4): 1089-1102.

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References 34

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Symmetries and Global Solutions for a Class of Hyperbolic Mean Curvature Flow

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