Continuous Data Assimilation with Blurred-in-Time Measurements of the Surface Quasi-Geostrophic Equation

Data assimilation using noisy time-averaged measurements

(2018) Jordan Blocher et al.   PHYSICA D-NONLINEAR PHENOMENA

Uniform-in-Time Error Estimates for the Postprocessing Galerkin Method Applied to a Data Assimilation Algorithm

(2018) Cecilia F. Mondaini et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

The Existence of a Global Attractor for the Forced Critical Surface Quasi-Geostrophic Equation in $$L^2$$ L 2

(2017) Alexey Cheskidov et al.   Journal of Mathematical Fluid Mechanics

Long-Time Behavior and Critical Limit of Subcritical SQG Equations in Scale-Invariant Sobolev Spaces

(2017) Michele Coti Zelati   JOURNAL OF NONLINEAR SCIENCE

Continuous data assimilation for the three-dimensional Navier–Stokes-α model

(2016) Débora A.F. Albanez et al.   ASYMPTOTIC ANALYSIS

On the global regularity for the supercritical SQG equation

(2016) Michele Coti Zelati et al.   INDIANA UNIVERSITY MATHEMATICS JOURNAL

Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature measurements

(2016) Aseel Farhat et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Continuous data assimilation for the three-dimensional Brinkman–Forchheimer-extended Darcy model

(2016) Peter A Markowich et al.   NONLINEARITY

Uniformly attracting limit sets for the critically dissipative SQG equation

(2016) Peter Constantin et al.   NONLINEARITY

A Discrete Data Assimilation Scheme for the Solutions of the Two-Dimensional Navier--Stokes Equations and Their Statistics

(2016) Ciprian Foias et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Continuous data assimilation with stochastically noisy data

(2015) Hakima Bessaih et al.   NONLINEARITY

Continuous data assimilation for the 2D Bénard convection through velocity measurements alone

(2015) Aseel Farhat et al.   PHYSICA D-NONLINEAR PHENOMENA

Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations

(2014) Peter Constantin et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Long Time Dynamics of Forced Critical SQG

(2014) Peter Constantin et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Feedback control of nonlinear dissipative systems by finite determining parameters - A reaction-diffusion paradigm

(2014) Abderrahim Azouani et al.   Evolution Equations and Control Theory

Continuous Data Assimilation Using General Interpolant Observables

(2013) Abderrahim Azouani et al.   JOURNAL OF NONLINEAR SCIENCE

Accuracy and stability of the continuous-time 3DVAR filter for the Navier–Stokes equation

(2013) D Blömker et al.   NONLINEARITY

Nonlinear maximum principles for dissipative linear nonlocal operators and applications

(2012) Peter Constantin et al.   GEOMETRIC AND FUNCTIONAL ANALYSIS

An ensemble Kalman-Bucy filter for continuous data assimilation

(2012) Kay Bergemann et al.   METEOROLOGISCHE ZEITSCHRIFT

Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation

(2010) Luis Caffarelli et al.   ANNALS OF MATHEMATICS

Dissipative quasi-geostrophic equations in critical Sobolev spaces: Smoothing effect and global well-posedness

(2009) Hongjie Dong   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

The asymptotic behaviour of subcritical dissipative quasi-geostrophic equations

(2008) José A Carrillo et al.   NONLINEARITY

An inviscid regularization for the surface quasi‐geostrophic equation

(2007) Boualem Khouider et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS