47 citations · 100 across the 11 of their papers we have counts for
12 papers
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…
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…
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…
Data Assimilation in Chaotic Systems Using Deep Reinforcement Learning
Mohamad Abed El Rahman Hammoud, Naila Raboudi, Edriss S. Titi +2
Data assimilation (DA) plays a pivotal role in diverse applications, ranging from climate predictions and weather forecasts to trajectory planning for autonomous vehicles. A prime…
Nonlinear dimensionality reduction then and now: AIMs for dissipative PDEs in the ML era
Eleni D. Koronaki, Nikolaos Evangelou, Cristina P. Martin-Linares +2
This study presents a collection of purely data-driven workflows for constructing reduced-order models (ROMs) for distributed dynamical systems. The ROMs we focus on, are data-assi…
Downscaling Using CDAnet Under Observational and Model Noises: The Rayleigh-Benard Convection Paradigm
Mohamad Abed El Rahman Hammoud, Edriss S. Titi, Ibrahim Hoteit +1
Efficient downscaling of large ensembles of coarse-scale information is crucial in several applications, such as oceanic and atmospheric modeling. The determining form map is a the…