Shinbrot’s energy conservation criterion for the 3D Navier–Stokes–Maxwell system
- Resource Type
- article
- Authors
- Ma, Dandan; Wu, Fan
- Source
- Comptes Rendus. Mathématique, Vol 361, Iss G1, Pp 91-96 (2023)
- Subject
- Mathematics
QA1-939
- Language
- English
French
- ISSN
- 1778-3569
This paper concerns the energy conservation for the weak solutions to the Navier–Stokes–Maxwell system. Although the Maxwell equation with hyperbolic nature, we still establish a $L^qL^p$ type condition guarantee validity of the energy equality for the weak solutions. We mention that there no regularity assumption on the electric field $E$.