358 citations · 3.8k across the 153 of their papers we have counts for
173 papers
Uniqueness of Leray-Hopf weak solutions to the two-dimensional viscous Primitive Equations
Jinkai Li, Lintao Liu, Edriss S. Titi +1
Global existence of Leray-Hopf (type) weak solutions to the viscous primitive equations in two or three dimensions was established by Lions--Temam--Wang \cite{Lions1,Lions2,Lions3,…
Dynamical slowdown, bottlenecks, and multiscaling in Voigt-regularised turbulence
Anikat Kankaria, Bikram Pal, Edriss S. Titi +1
We investigate bottleneck formation in turbulence using the Voigt-regularised SABRA model and DNS of the corresponding Voigt-Navier-Stokes (NSV) equations. The Voigt regularisation…
Spatial and temporal analyticity of solutions to semi-linear parabolic systems with analytic nonlinearities
Nubogh B. Qumsiyeh Al-Atrash, Edriss S. Titi
It is shown that the solutions to a wide class of semi-linear parabolic equations with analytic (holomorphic) nonlinearity, with spatially periodic boundary conditions, are analyti…
A Generalized Framework for Convex Integration and its Application to Geophysical Models
Daniel W. Boutros, Simon Markfelder, Edriss S. Titi
In this paper a general framework for convex integration is developed, in order to construct weak solutions to the Cauchy problem, by building on ideas from [C. De Lellis and L. Sz…
A mathematical study of an elastic-viscous-plastic sea-ice model with the Kelvin-Voigt rheology
Daniel W. Boutros, Xin Liu, Marita Thomas +1
Motivated by the elastic-viscous-plastic (EVP) sea-ice model [E. C. Hunke and J. K. Dukowicz, J. Phys. Oceanogr., 27, 9 (1997), 1849--1867], which is used in large-scale numerical…
A critical note on back-and-forth Data Assimilation Nudging Algorithm
Aseel Farhat, Edriss S. Titi, Collin Victor
This work investigates the effectiveness of the Back-and-Forth Nudging (BFN) data assimilation algorithm, specifically its performance when employing the Azouani-Olson-Titi (AOT) c…