89 citations · 454 across the 49 of their papers we have counts for
8 papers · 1 filter
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…
Stabilization of the Marine Riser model by controllers depending on finitely many parameters
V. K. Kalantarov, A. A. Namazov, E. S. Titi
We prove global stabilization of the marine riser models using a feedback controller that depend on finitely many finite-volume elements and finitely many nodal observables. Our ap…