Unconditional energy conservation and conditional regularity for the incompressible Navier-Stokes Maxwell system

Autor: Dandan Ma, Fan Wu
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 37, Pp 1-15 (2024)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2024.1.37
Popis: In this paper, we study a hydrodynamic system modeling the evolution of a plasma subject to a self-induced electromagnetic Lorentz force in incompressible viscous fluids. The system consists of the Navier–Stokes equations coupled with a Maxwell equation. In the three dimensional case, we show that every weak solution verifies the energy equality for the incompressible Navier–Stokes–Maxwell equations with damping. We also establish some non-explosion criteria in terms of the velocity and magnetic of local strong solution for standard Navier–Stokes–Maxwell system.
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