Publications (97)
Feedback Control of Nonlinear Dissipative Systems by Finite Determining Parameters - A Reaction-diffusion Paradigm
Abderrahim Azouani, Edriss S. Titi
Global Existence and Uniqueness of Weak Solutions of 3-D Euler Equations with Helical Symmetry in the Absence of Vorticity Stretching
Boris Ettinger, Edriss S. Titi
On the backward behavior of some dissipative evolution equations
Yanqiu Guo, Edriss S. Titi
On the regularization mechanism for the periodic Korteweg-de Vries equation
Anatoli V. Babin, Alexei A. Ilyin, Edriss S. Titi
Sharp estimates for the number of degrees of freedom for the damped-driven 2D Navier--Stokes equations
Alexei A. Ilyin, Edriss S. Titi
Global Well--posedness of the Three-dimensional Viscous Primitive Equations of Large Scale Ocean and Atmosphere Dynamics
Chongsheng Cao, Edriss S. Titi
Simulations de l'écoulement turbulent marin avec un modèle de déconvolution
Anne-Claire Bennis, Roger Lewandowski, Edriss S. Titi
Finite-time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics
Chongsheng Cao, Slim Ibrahim, Kenji Nakanishi +1
Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows
Chonsheng Cao, Junlin Qin, Edriss S. Titi
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity
Chongsheng Cao, Jinkai Li, Edriss S. Titi
On the Statistical Properties of the 3D Incompressible Navier-Stokes-Voigt Model
Boris Levant, Fábio Ramos, Edriss S. Titi
A Note on the Regularity of Inviscid Shell Model of Turbulence
Peter Constantin, Boris Levant, Edriss S. Titi
Stability of Two-dimensional Viscous Incompressible Flows Under Three-dimensional Perturbations and Inviscid Symmetry Breaking
Claude Bardos, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes +2
Hadamard well-posedness for a hyperbolic equation of viscoelasticity with supercritical sources and damping
Yanqiu Guo, Mohammad A. Rammaha, Sawanya Sakuntasathien +2
Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Horizontal Eddy Diffusivity
Chongsheng Cao, Jinkai Li, Edriss S. Titi
Entire solutions of hydrodynamical equations with exponential dissipation
Claude Bardos, Uriel Frisch, Walter Pauls +2
A determining form for the subcritical surface quasi-geostrophic equation
Michael S. Jolly, Vincent R. Martinez, Tural Sadigov +1
Global Well-posedness for The 2D Boussinesq System Without Heat Diffusion and With Either Anisotropic Viscosity or Inviscid Voigt-$α$ Regularization
Adam Larios, Evelyn Lunasin, Edriss S. Titi
Non-viscous Regularization of the Davey-Stewartson Equations: Analysis and Modulation Theory
Yanqiu Guo, Irma Hacinliyan, Edriss S. Titi
Inertial Manifolds for Certain Sub-Grid Scale $α$-Models of Turbulence
Mohammad Abu Hamed, Yanqiu Guo, Edriss S. Titi
Long-time limit for a class of quadratic infinite-dimensional dynamical systems inspired by models of viscoelastic fluids
Guy Katriel, Raz Kupferman, Edriss S. Titi
Mathematics and Turbulence: where do we stand?
Claude Bardos, Edriss S. Titi
Local and Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity
Chongsheng Cao, Jinkai Li, Edriss S. Titi
Strong solutions to the 3D primitive equations with only horizontal dissipation: near $H^1$ initial data
Chongsheng Cao, Jinkai Li, Edriss S. Titi
Dissipative length scale estimates for turbulent flows - a Wiener algebra approach
Animikh Biswas, Michael S. Jolly, Vincent R. Martinez +1
Approximation of 2D Euler Equations by the Second-Grade Fluid Equations with Dirichlet Boundary Conditions
Milton C. Lopes Filho, Helena J. Nussenzveig Lopes, Edriss S. Titi +1
Nonlinear Schrodinger-Helmholtz Equation as Numerical Regularization of the Nonlinear Schrodinger Equation
Yanping Cao, Ziad H. Musslimani, Edriss S. Titi
On the Radius of Analyticity of Solutions to the Cubic Szegö Equation
Patrick Gerard, Yanqiu Guo, Edriss S. Titi
Stochastic attractors for shell phenomenological models of turbulence
Hakima Bessaih, Franco Flandoli, Edriss S. Titi
An Inviscid Regularization for the Surface Quasi-Geostrophic Equation
Boualem Khouider, Edriss S. Titi
One-dimensional parametric determining form for the two-dimensional Navier-Stokes equations
Ciprian Foias, Michael S. Jolly, Daniel Lithio +1
Analysis of a Mixture Model of Tumor Growth
John Lowengrub, Edriss S. Titi, Kun Zhao
Global Regularity for an Inviscid Three-dimensional Slow Limiting Ocean Dynamics Model
Chongsheng Cao, Aseel Farhat, Edriss S. Titi
A data assimilation algorithm for the subcritical surface quasi-geostrophic equation
Michael S. Jolly, Vincent R. Martinez, Edriss S. Titi
Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model
Peter A. Markowich, Edriss S. Titi, Saber Trabelsi
Global regularity for a Birkhoff-Rott-alpha approximation of the dynamics of vortex sheets of the 2D Euler equations
Claude Bardos, Jasmine S. Linshiz, Edriss S. Titi
A data assimilation algorithm: the paradigm of the 3D Leray-alpha model of turbulence
Aseel Farhat, Evelyn Lunasin, Edriss S. Titi
Determining form and data assimilation algorithm for weakly damped and driven Korteweg-de Vries equaton- Fourier modes case
Michael S. Jolly, Tural Sadigov, Edriss S. Titi
Higher-Order Global Regularity of an Inviscid Voigt-Regularization of the Three-Dimensional Inviscid Resistive Magnetohydrodynamic Equations
Adam Larios, Edriss S. Titi
On the Domain of Analyticity and Small Scales for the Solutions of the Damped-driven 2D Navier-Stokes Equations
Alexei A. Ilyin, Edriss S. Titi
Data Assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements
Aseel Farhat, Evelyn Lunasin, Edriss S. Titi
Global Well-posedness of a System of Nonlinearly Coupled KdV equations of Majda and Biello
Yanqiu Guo, Konrad Simon, Edriss S. Titi
Modulation theory for self-focusing in the nonlinear Schrödinger-Helmholtz equation
Yanping Cao, Ziad H. Musslimani, Edriss S. Titi
A Tropical Atmosphere Model with Moisture: Global Well-posedness and Relaxation Limit
Jinkai Li, Edriss S. Titi
Planar limits of three-dimensional incompressible flows with helical symmetry
Milton C. Lopes Filho, Anna L. Mazzucato, Dongjuan Niu +2
A unified approach to determining forms for the 2D Navier-Stokes equations - the general interpolants case
Ciprian Foias, Michael S. Jolly, Rostyslav Kravchenko +1
Invariant measures for the 3D Navier-Stokes-Voigt equations and their Navier-Stokes limit
Fabio Ramos, Edriss S. Titi
A determining form for the damped driven Nonlinear Schrödinger Equation- Fourier modes case
Michael S. Jolly, Tural Sadigov, Edriss S. Titi
Analytical Study of Certain Magnetohydrodynamic-alpha Models
Jasmine S. Linshiz, Edriss S. Titi
Statistical Properties of Nonlinear Shell Models of Turbulence from Linear Advection Models: Rigorous Results
Roberto Benzi, Boris Levant, Itamar Procaccia +1
The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation
Jinkai Li, Edriss S. Titi
Continuous Data Assimilation for the 2D Bénard Convection through Velocity Measurements Alone
Aseel Farhat, Michael S. Jolly, Edriss S. Titi
Spectral scaling of the Leray-$α$ model for two-dimensional turbulence
Evelyn Lunasin, Susan Kurien, Edriss S. Titi
Analytic Study of Shell Models of Turbulence
Peter Constantin, Boris Levant, Edriss S. Titi
Gevrey regularity of the global attractor of the 3D Navier-Stokes-Voight equations
Varga K. Kalantarov, Boris Levant, Edriss S. Titi
Global Well-posedness of the 3D Primitive Equations with Only Horizontal Viscosity and Diffusion
Chongsheng Cao, Jinkai Li, Edriss S. Titi
Finite determining parameters feedback control for distributed nonlinear dissipative systems - a computational study
Evelyn Lunasin, Edriss S. Titi
Existence and uniqueness of weak solutions to viscous primitive equations for certain class of discontinuous initial data
Jinkai Li, Edriss S. Titi
Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor
Chongsheng Cao, Edriss S. Titi
Continuous data assimilation for the three-dimensional Navier-Stokes-$α$
Débora A. F. Albanez, Helena J. Nussenzveig Lopes, Edriss S. Titi
Continuous Data Assimilation for a 2D Bénard Convection System through Horizontal Velocity Measurements Alone
Aseel Farhat, Evelyn Lunasin, Edriss S. Titi
On the Global Regularity of a Helical-decimated Version of the 3D Navier-Stokes Equations
Luca Biferale, Edriss S. Titi
On the convergence rate of the Euler-$α$, an inviscid second-grade complex fluid, model to the Euler equations
Jasmine S. Linshiz, Edriss S. Titi
On the Higher-Order Global Regularity of the Inviscid Voigt-Regularization of Three-Dimensional Hydrodynamic Models
Adam Larios, Edriss S. Titi
Persistency of Analyticity for Nonlinear Wave Equations: An Energy-like Approach
Yanqiu Guo, Edriss S. Titi
Global Stabilization of the Navier-Stokes-Voight and the damped nonlinear wave equations by finite number of feedback controllers
Varga K. Kalantarov, Edriss S. Titi
The 3D incompressible Euler equations with a passive scalar: a road to blow-up?
John D. Gibbon, Edriss S. Titi
Sharp Lower Bounds for the Dimension of the Global Attractor of the Sabra Shell Model of Turbulence
Peter Constantin, Boris Levant, Edriss S. Titi
Global regularity and convergence of a Birkhoff-Rott-alpha approximation of the dynamics of vortex sheets of the 2D Euler equations
Claude Bardos, Jasmine S. Linshiz, Edriss S. Titi
Abridged continuous data assimilation for the 2D Navier-Stokes equations utilizing measurements of only one component of the velocity field
Aseel Farhat, Evelyn Lunasin, Edriss S. Titi
The Camassa-Holm equations as a closure model for turbulent channel flow
Shiyi Chen, Ciprian Foias, Darryl D. Holm +3
A Beale-Kato-Majda breakdown criterion for an Oldroyd-B fluid in the creeping flow regime
Raz Kupferman, Claude Mangoubi, Edriss S. Titi
A ``horizontal" hyper--diffusion $3-D$ thermocline planetary geostrophic model: well-posedness and long time behavior
Chongsheng Cao, Edriss S. Titi, Mohammed Ziane
Regularity "in Large" for the 3D Salmon's Planetary Geostrophic Model of Ocean Dynamics
Chongsheng Cao, Edriss S. Titi
Trivial Stationary Solutions to the Kuramoto-Sivashinsky and Certain Nonlinear Elliptic Equations
Yanping Cao, Edriss S. Titi
Global Well-posedness of an Inviscid Three-dimensional Pseudo-Hasegawa-Mima Model
Chongsheng Cao, Aseel Farhat, Edriss S. Titi
On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in $\mathbb R^2$
Jinkai Li, Edriss S. Titi, Zhouping Xin
Loss of smoothness and energy conserving rough weak solutions for the 3d Euler equations
Claude Bardos, Edriss S. Titi
Global Attractors and Determining Modes for the 3D Navier-Stokes-Voight Equations
Varga K. Kalantarov, Edriss S. Titi
Global well-posedness of the 2D Boussinesq equations with vertical dissipation
Jinkai Li, Edriss S. Titi
Global Well-posedness of the 3D Primitive Equations With Partial Vertical Turbulence Mixing Heat Diffusion
Chongsheng Cao, Edriss S. Titi
Global well-posedness for passively transported nonlinear moisture dynamics with phase changes
Sabine Hittmeir, Rupert Klein, Jinkai Li +1
A discrete data assimilation scheme for the solutions of the 2D Navier-Stokes equations and their statistics
Ciprian Foias, Cecilia F. Mondaini, Edriss S. Titi
Euler Equations of Incompressible Ideal Fluids
Claude Bardos, Edriss S. Titi
Global well-posedness of strong solutions to a tropical climate model
Jinkai Li, Edriss S. Titi
Recent Advances Concerning Certain Class of Geophysical Flows
Jinkai Li, Edriss S. Titi
Continuous Data Assimilation Using General Interpolant Observables
Abderrahim Azouani, Eric Olson, Edriss S. Titi
Vanishing viscosity as a selection principle for the Euler equations: The case of 3D shear flow
Claude Bardos, Edriss S. Titi, Emil Wiedemann
Axisymmetric Euler-$α$ Equations without Swirl: Existence, Uniqueness, and Radon Measure Valued Solutions
Quansen Jiu, Dongjuan Niu, Edriss S. Titi +1
Convergence of the 2D Euler-$α$ to Euler equations in the Dirichlet case: indifference to boundary layers
Milton C. Lopes Filho, Helena J. Nussenzveig Lopes, Edriss S. Titi +1
Long-time Behavior of a Two-layer Model of Baroclinic Quasi-geostrophic Turbulence
Aseel Farhat, R. Lee Panetta, Edriss S. Titi +1
Discrete Data Assimilation in the Lorenz and 2D Navier--Stokes Equations
Kevin Hayden, Eric Olson, Edriss S. Titi
Global Regularity vs. Finite-Time Singularities: Some Paradigms on the Effect of Boundary Conditions and Certain Perturbations
Adam Larios, Edriss S. Titi
Navier-Stokes equations, determining forms, determining modes, inertial manifolds, dissipative dynamical systems
Ciprian Foias, Michael S. Jolly, Rostyslav Kravchenko +1
On the Charney Conjecture of Data Assimilation Employing Temperature Measurements Alone: The Paradigm of 3D Planetary Geostrophic Model
Aseel Farhat, Evelyn Lunasin, Edriss S. Titi
Finite-Parameters Feedback Control for Stabilizing Damped Nonlinear Wave Equations
Varga K. Kalantarov, Edriss S. Titi
Pressure Regularity Criterion for the Three-dimensional Navier-Stokes Equations in Infinite Channel
Chongsheng Cao, Edriss S. Titi