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On the regularization mechanism for the periodic Korteweg-de Vries equation

Communications on pure and applied mathematics, 2011-05, Vol.64 (5), p.591-648

2011

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Data Assimilation in Chaotic Systems Using Deep Reinforcement Learning

Journal of advances in modeling earth systems, 2024-08, Vol.16 (8), p.n/a

2024

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Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion

Communications on pure and applied mathematics, 2016-08, Vol.69 (8), p.1492-1531

2016

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The primitive equations as the small aspect ratio limit of the Navier–Stokes equations: Rigorous justification of the hydrostatic approximation

Journal de mathématiques pures et appliquées, 2019-04, Vol.124, p.30-58

2019

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Continuous data assimilation with stochastically noisy data

Nonlinearity, 2015-03, Vol.28 (3), p.729-753

2015

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

Nonlinearity, 2016-04, Vol.29 (4), p.1292-1328

2016

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Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models

Communications in mathematical sciences, 2006, Vol.4 (4), p.823-848

2006

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

Frontiers in climate, 2022-02, Vol.4

2022

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C 0, α boundary regularity for the pressure in weak solutions of the 2 d Euler equations

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2022-03, Vol.380 (2218)

2022

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Global Well-Posedness of the Three-Dimensional Viscous Primitive Equations of Large Scale Ocean and Atmosphere Dynamics

Annals of mathematics, 2007-07, Vol.166 (1), p.245-267

2007

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Finite determining parameters feedback control for distributed nonlinear dissipative systems -a computational study

Evolution equations and control theory, 2017-12, Vol.6 (4), p.535-557

2017

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Efficient dynamical downscaling of general circulation models using continuous data assimilation

Quarterly journal of the Royal Meteorological Society, 2019-10, Vol.145 (724), p.3175-3194

2019

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Discrete data assimilation in the Lorenz and 2D Navier–Stokes equations

Physica. D, 2011-09, Vol.240 (18), p.1416-1425

2011

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Existence and Uniqueness of Weak Solutions to Viscous Primitive Equations for a Certain Class of Discontinuous Initial Data

SIAM journal on mathematical analysis, 2017-01, Vol.49 (1), p.1-28

2017

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A tropical atmosphere model with moisture: global well-posedness and relaxation limit

Nonlinearity, 2016-09, Vol.29 (9), p.2674-2714

2016

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

Evolution equations and control theory, 2014, Vol.3 (4), p.579-594

2014

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Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes

Nonlinearity, 2020-07, Vol.33 (7), p.3206-3236

2020

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Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates

IMA journal of numerical analysis, 2020-10, Vol.40 (4), p.2584-2625

2020

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A Data Assimilation Algorithm for the Subcritical Surface Quasi-Geostrophic Equation

Advanced nonlinear studies, 2017-02, Vol.17 (1), p.167-192

2017

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Algebraic bounds on the Rayleigh-Bénard attractor

Nonlinearity, 2021-01, Vol.34 (1), p.509-531

2021

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Regularity Criteria for the Three-dimensional Navier–Stokes Equations

Indiana University mathematics journal, 2008-01, Vol.57 (6), p.2643-2661

2008

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Global well-posedness for passively transported nonlinear moisture dynamics with phase changes

Nonlinearity, 2017-10, Vol.30 (10), p.3676-3718

2017

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Determining form and data assimilation algorithm for weakly damped and driven Korteweg–de Vries equation — Fourier modes case

Nonlinear analysis: real world applications, 2017-08, Vol.36, p.287-317

2017

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On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations

Journal of mathematical fluid mechanics, 2022, Vol.24 (3), p.73-73, Article 73

2022

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A computational investigation of the finite-time blow-up of the 3D incompressible Euler equations based on the Voigt regularization

Theoretical and computational fluid dynamics, 2018-02, Vol.32 (1), p.23-34

2018

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On the regularization mechanism for the periodic Korteweg-de Vries equation

Data Assimilation in Chaotic Systems Using Deep Reinforcement Learning

Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion

The primitive equations as the small aspect ratio limit of the Navier–Stokes equations: Rigorous justification of the hydrostatic approximation

Continuous data assimilation with stochastically noisy data

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

Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models

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

C 0, α boundary regularity for the pressure in weak solutions of the 2 d Euler equations

Global Well-Posedness of the Three-Dimensional Viscous Primitive Equations of Large Scale Ocean and Atmosphere Dynamics

Finite determining parameters feedback control for distributed nonlinear dissipative systems -a computational study

Efficient dynamical downscaling of general circulation models using continuous data assimilation

Discrete data assimilation in the Lorenz and 2D Navier–Stokes equations

Existence and Uniqueness of Weak Solutions to Viscous Primitive Equations for a Certain Class of Discontinuous Initial Data

A tropical atmosphere model with moisture: global well-posedness and relaxation limit

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

Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes

Fully discrete numerical schemes of a data assimilation algorithm: uniform-in-time error estimates

A Data Assimilation Algorithm for the Subcritical Surface Quasi-Geostrophic Equation

Algebraic bounds on the Rayleigh-Bénard attractor

Regularity Criteria for the Three-dimensional Navier–Stokes Equations

Global well-posedness for passively transported nonlinear moisture dynamics with phase changes

Determining form and data assimilation algorithm for weakly damped and driven Korteweg–de Vries equation — Fourier modes case

On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations

A computational investigation of the finite-time blow-up of the 3D incompressible Euler equations based on the Voigt regularization

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