89 citations · 454 across the 43 of their papers we have counts for
9 papers · 1 filter
Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation
Chongsheng Cao, Yanqiu Guo, Edriss S. Titi
We study a three-dimensional fluid model describing rapidly rotating convection that takes place in tall columnar structures. The purpose of this model is to investigate the cyclon…
Spectral Filtering of Interpolant Observables for a Discrete-in-time Downscaling Data Assimilation Algorithm
Emine Celik, Eric Olson, Edriss S. Titi
We describe a spectrally-filtered discrete-in-time downscaling data assimilation algorithm and prove, in the context of the two-dimensional Navier--Stokes equations, that this algo…
Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation
Michael S. Jolly, Vincent R. Martinez, Eric J. Olson +1
An intrinsic property of almost any physical measuring device is that it makes observations which are slightly blurred in time. We consider a nudging-based approach for data assimi…
Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities
Xin Liu, Edriss S. Titi
We show the existence of global weak solutions to the three-dimensional compressible primitive equations of atmospheric dynamics with degenerate viscosities. In analogy with the ca…
Non-uniqueness of Weak Solutions to Hyperviscous Navier-Stokes Equations -- On Sharpness of J.-L. Lions Exponent
Tianwen Luo, Edriss S. Titi
Using the convex integration technique for the three-dimensional Navier-Stokes equations introduced by T. Buckmaster and V. Vicol, it is shown the existence of non-unique weak solu…
Local Well-posedness of Strong Solutions to the Three-dimensional Compressible Primitive Equations
Xin Liu, Edriss S. Titi
This work is devoted to establishing the local-in-time well-posedness of strong solutions to the three-dimensional compressible primitive equations of atmospheric dynamics. It is s…