3 papers
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.OC2025
On the inadequacy of nudging data assimilation algorithms for non-dissipative systems
Edriss S. Titi, Collin Victor
In this work, we study the applicability of the Azouani-Olson-Titi (AOT) nudging algorithm for continuous data assimilation to evolutionary dynamical systems that are not dissipati…
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…