In this paper, we prove the local well-posedness of a scaled anisotropic Navier-Stokes-
Maxwell system in a two-dimensional striped domain with a transverse magnetic field …

In the present paper, we aim to mathematically analyse the role of the displacement current
and the Cattaneo's law on the boundary-layer theory of plasma, when the corresponding …

Axisymmetric Incompressible Viscous Plasmas: Global Well-Posedness and Asymptotics
Page 1 Forum of Mathematics, Sigma (2024), Vol. 12:e79 1–57 doi:10.1017/fms.2024.60 …

In this paper, we are concerned with the energy equality of weak solutions of the two-fluid
incompressible Navier–Stokes–Maxwell equations. It is shown that the energy equality of …

In this paper, we prove the local well-posedness of a scaled anisotropic Navier-Stokes-
Maxwell system in a 2-D striped domain with initial data around some nonzero background …

By using a set of scaling limits, the authors in Acheritogaray et al.(Kinet Relat Models 4: 901–
918, 2011) and Srinivasan and Shumlak (Phys Plasmas 18 (9): 620, 2011) proposed a …

In this paper we prove the existence of global in time, finite energy weak solutions to the
quantum magnetohydrodynamics (QMHD) system, for a large class of initial data that are …

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 …

Euler--Maxwell systems describe the dynamics of inviscid plasmas. In this work, we consider
an incompressible two-dimensional version of such systems and prove the existence and …

In this paper, we consider the energy equality of the 3D Cauchy problem for the Navier–
Stokes–Maxwell system. We show that if a distributional solution of Navier–Stokes–Maxwell …