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math.AP2026
On the absence of anomalous dissipation for the Navier-Stokes equations with Navier boundary conditions: a sufficient condition
Claude Bardos, Daniel W. Boutros, Edriss S. Titi
We consider the three-dimensional incompressible Navier-Stokes equations in a bounded domain with Navier boundary conditions. We provide a sufficient condition for the absence of a…
math.AP2025
On the conservation of helicity by weak solutions of the 3D Euler and inviscid MHD equations
Daniel W. Boutros, Edriss S. Titi
Classical solutions of the three-dimensional Euler equations of an ideal incompressible fluid conserve the helicity. We introduce a new weak formulation of the vorticity formulatio…