On energy conservation of weak solutions to the α$\alpha$‐type Euler models
Abstract Very recently, Boutros and Titi considered Onsager's conjecture of ‐type Euler models in Besov spaces and with . In this paper, we study the energy conservation of weak solutions to these systems in Lebesgue space and homogenous Sobolev space . Moreover, the corresponding results for the energy and the cross‐helicity of the inviscid ‐magnetohydrodynamic equations are also obtained.
Authors
- Yulin Ye (ORCID: https://orcid.org/0000-0003-1642-9138)
- Wei Wei (ORCID: https://orcid.org/0000-0001-9318-0036)
- Yanqing Wang (ORCID: https://orcid.org/0000-0001-6576-5934)
Institutions
- Henan University (CN)
- Zhengzhou University of Light Industry (CN)
- Northwest University (CN)
Publication Details
- Journal
- ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
- Published
- 2024-11-28
- DOI
- https://doi.org/10.1002/zamm.202300406
- Primary Topic
- Navier-Stokes equation solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Henan Province