Stability of p-elastic curves
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Date
2021
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In this paper, we will discuss the stability of p-elastic curves with p ∈ (1,∞).We derive the first variation and second variation of p-elastic energy of curves,and obtain the induced Euler-Lagrange equation and stability operator, which isused to study the stability of equilibrium solutions.We mainly focus on p-elastic curves in a two dimensional plane.
In this paper, we will discuss the stability of p-elastic curves with p ∈ (1,∞).We derive the first variation and second variation of p-elastic energy of curves,and obtain the induced Euler-Lagrange equation and stability operator, which isused to study the stability of equilibrium solutions.We mainly focus on p-elastic curves in a two dimensional plane.
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none, Stability, p-elastic curves