Edriss S. Titi

Orcid: 0000-0002-5004-1746

According to our database1, Edriss S. Titi authored at least 40 papers between 1993 and 2024.

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Bibliography

2024
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier-Stokes Equation Paradigm.
J. Nonlinear Sci., April, 2024

Data Assimilation in Chaotic Systems Using Deep Reinforcement Learning.
CoRR, 2024

2023
Correction to: Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes.
J. Nonlinear Sci., October, 2023

Global Well-Posedness for the Thermodynamically Refined Passively Transported Nonlinear Moisture Dynamics with Phase Changes.
J. Nonlinear Sci., August, 2023

A Kinematic-Dynamic 3D Model for Density-Driven Ocean Flows: Construction, Global Well-Posedness, and Dynamics.
J. Nonlinear Sci., 2023

Nonlinear dimensionality reduction then and now: AIMs for dissipative PDEs in the ML era.
CoRR, 2023

Downscaling Using CDAnet Under Observational and Model Noises: The Rayleigh-Benard Convection Paradigm.
CoRR, 2023

On posterior consistency of data assimilation with Gaussian process priors: the 2D Navier-Stokes equations.
CoRR, 2023

2022
Well-Posedness of Hibler's Dynamical Sea-Ice Model.
J. Nonlinear Sci., 2022

Continuous and Discrete Data Assimilation with Noisy Observations for the Rayleigh-Benard Convection: A Computational Study.
CoRR, 2022

Enhanced Simulation of the Indian Summer Monsoon Rainfall Using Regional Climate Modeling and Continuous Data Assimilation.
CoRR, 2022

2020
Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier-Stokes Equations.
SIAM J. Numer. Anal., 2020

2019
Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities.
SIAM J. Math. Anal., 2019

Spectral Filtering of Interpolant Observables for a Discrete-in-Time Downscaling Data Assimilation Algorithm.
SIAM J. Appl. Dyn. Syst., 2019

On the Extension of Onsager's Conjecture for General Conservation Laws.
J. Nonlinear Sci., 2019

2018
Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm.
SIAM J. Numer. Anal., 2018

Assimilation of Nearly Turbulent Rayleigh-Bénard Flow Through Vorticity or Local Circulation Measurements: A Computational Study.
J. Sci. Comput., 2018

2017
Existence and Uniqueness of Weak Solutions to Viscous Primitive Equations for a Certain Class of Discontinuous Initial Data.
SIAM J. Math. Anal., 2017

One-Dimensional Parametric Determining form for the Two-Dimensional Navier-Stokes Equations.
J. Nonlinear Sci., 2017

Continuous Data Assimilation for a 2D Bénard Convection System Through Horizontal Velocity Measurements Alone.
J. Nonlinear Sci., 2017

2016
A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier-Stokes Equations and Their Statistics.
SIAM J. Appl. Dyn. Syst., 2016

Continuous data assimilation for the three-dimensional Navier-Stokes-α model.
Asymptot. Anal., 2016

2015
Inertial Manifolds for Certain Subgrid-Scale α-Models of Turbulence.
SIAM J. Appl. Dyn. Syst., 2015

2014
Dissipation Length Scale Estimates for Turbulent Flows: A Wiener Algebra Approach.
J. Nonlinear Sci., 2014

Continuous Data Assimilation Using General Interpolant Observables.
J. Nonlinear Sci., 2014

2013
Stability of Two-Dimensional Viscous Incompressible Flows under Three-Dimensional Perturbations and Inviscid Symmetry Breaking.
SIAM J. Math. Anal., 2013

The 3D Incompressible Euler Equations with a Passive Scalar: A Road to Blow-Up?
J. Nonlinear Sci., 2013

Global regularity for an inviscid three-dimensional slow limiting ocean dynamics model.
Commun. Inf. Syst., 2013

2011
Analysis and Computation of a Discrete KdV-Burgers Type Equation with Fast Dispersion and Slow Diffusion.
SIAM J. Numer. Anal., 2011

2009
Global Existence and Uniqueness of Weak Solutions of Three-Dimensional Euler Equations with Helical Symmetry in the Absence of Vorticity Stretching.
SIAM J. Math. Anal., 2009

Gevrey Regularity for the Attractor of the 3D Navier-Stokes-Voight Equations.
J. Nonlinear Sci., 2009

2008
Young Measure Approach to Computing Slowly Advancing Fast Oscillations.
Multiscale Model. Simul., 2008

2006
Sharp Estimates for the Number of Degrees of Freedom for the Damped-Driven 2-D Navier-Stokes Equations.
J. Nonlinear Sci., 2006

2003
The Postprocessing Galerkin and Nonlinear Galerkin Methods - A Truncation Analysis Point of View.
SIAM J. Numer. Anal., 2003

Inertial Manifolds and Gevrey Regularity for the Moore-Greitzer Model of an Axial-Flow Compressor.
J. Nonlinear Sci., 2003

2001
Efficient methods using high accuracy approximate inertial manifolds.
Numerische Mathematik, 2001

1999
Postprocessing the Galerkin Method: The Finite-Element Case.
SIAM J. Numer. Anal., 1999

An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations.
Math. Comput., 1999

1997
Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems.
Math. Comput., 1997

1993
Preserving Symmetries in the Proper Orthogonal Decomposition.
SIAM J. Sci. Comput., 1993


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