Optimal System and Invariant Solutions of the Hyperbolic Geometric Flow

DOI10.4208/JMS.V55N3.22.04OpenAlexW4294292339WikidataQ115481450 ScholiaQ115481450MaRDI QIDQ5882281

Zenggui Wang, Han Zhang

Publication date: 15 March 2023

Published in: Journal of Mathematical Study (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jms.v55n3.22.04

zbMATH Keywords

invariant solutionsLie symmetry analysishyperbolic geometric flowone-dimensional optimal system

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

• Hyperbolic geometric flow. I: Short-time existence and nonlinear stability
• Formation of singularities in the motion of plane curves under hyperbolic mean curvature flow
• Hyperbolic mean curvature flow: evolution of plane curves
• Symmetries of integro-differential equations. With applications in mechanics and plasma physics
• Dissipative hyperbolic geometric flow
• Symmetries and conservation laws of the Yao-Zeng two-component short-pulse equation
• Symmetry analysis of the time fractional Gaudrey-Dodd-Gibbon equation
• Invariant solutions of the normal hyperbolic mean curvature flow with dissipation
• Invariant solutions and nonlinear self-adjointness of the two-component Chaplygin gas equation
• Hyperbolic mean curvature flow
• Life-Span of Classical Solutions to Hyperbolic Geometric Flow in Two Space Variables with Slow Decay Initial Data
• Einstein's hyperbolic geometric flow
• Wave character of metrics and hyperbolic geometric flow
• The Hyperbolic Geometric Flow on Riemann Surfaces

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