On conservative solutions to the generalized hyperelastic-rod equation

Yu Gao

doi:10.1016/j.jde.2025.113355

On conservative solutions to the generalized hyperelastic-rod equation

Yu Gao

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

This paper investigates a generalized hyperelastic-rod wave equation within its generalized framework. For conservative solutions, we establish that the singularities of the energy measure can only occur at countably many times. Furthermore, we prove the uniqueness of the solution by employing a refined characteristics method.

Original language	English
Article number	113355
Journal	Journal of Differential Equations
Volume	438
DOIs	https://doi.org/10.1016/j.jde.2025.113355
State	Published - 5 Sep 2025
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

Keywords

Characteristics
Energy conservation
Generalized framework
Lagrangian system
Singularities

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10.1016/j.jde.2025.113355

Cite this

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title = "On conservative solutions to the generalized hyperelastic-rod equation",

abstract = "This paper investigates a generalized hyperelastic-rod wave equation within its generalized framework. For conservative solutions, we establish that the singularities of the energy measure can only occur at countably many times. Furthermore, we prove the uniqueness of the solution by employing a refined characteristics method.",

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author = "Yu Gao",

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AU - Gao, Yu

PY - 2025/9/5

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AB - This paper investigates a generalized hyperelastic-rod wave equation within its generalized framework. For conservative solutions, we establish that the singularities of the energy measure can only occur at countably many times. Furthermore, we prove the uniqueness of the solution by employing a refined characteristics method.

KW - Characteristics

KW - Energy conservation

KW - Generalized framework

KW - Lagrangian system

KW - Singularities

UR - https://www.scopus.com/pages/publications/105003218664

U2 - 10.1016/j.jde.2025.113355

DO - 10.1016/j.jde.2025.113355

M3 - 文章

AN - SCOPUS:105003218664

SN - 0022-0396

VL - 438

JO - Journal of Differential Equations

JF - Journal of Differential Equations

M1 - 113355

ER -

On conservative solutions to the generalized hyperelastic-rod equation

Abstract

UN SDGs

Keywords

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