Energy conservation of weak solutions and Onsager's conjecture for the two-component Camassa-Holm system
Year: 2026
Type: preprint
Abstract: In this paper, we investigate energy conservation for weak solutions to the two-component Camassa-Holm system. We derive a local energy balance equation in the sense of distributions with an explicit defect term. As an application, we determine that the Onsager exponent is 1, and as a consequence, we also obtain the uniqueness of weak solutions.
Source: arXiv (Cornell University)
Authors: Liu, Jingjing, Sun, Zhaoyu
Institution: Zhengzhou University of Light Industry
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7214214143