<p>In this paper, we are concerned with the regularity conditions of weak solutions of the two-fluid incompressible Navier-Stokes-Maxwell equations. By means of the equivalent form of this model and the cancellation of the nonlinear terms, we derive regular conditions in terms of the gradient of the velocities only and extend the famous Beirao da Veiga type regularity condition from the Navier-Stokes equations to the two-fluid Navier-Stokes-Maxwell equations.</p>

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On the regularity conditions for the two-fluid incompressible Navier-Stokes-Maxwell equations

  • Ning Cui,
  • Xinlei Liu,
  • Fan Wu

摘要

In this paper, we are concerned with the regularity conditions of weak solutions of the two-fluid incompressible Navier-Stokes-Maxwell equations. By means of the equivalent form of this model and the cancellation of the nonlinear terms, we derive regular conditions in terms of the gradient of the velocities only and extend the famous Beirao da Veiga type regularity condition from the Navier-Stokes equations to the two-fluid Navier-Stokes-Maxwell equations.