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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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Onsager’s Conjecture for the Incompressible Euler Equations in Bounded Domains

Archive for rational mechanics and analysis, 2018-04, Vol.228 (1), p.197-207

2018

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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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Non-uniqueness of weak solutions to hyperviscous Navier–Stokes equations: on sharpness of J.-L. Lions exponent

Calculus of variations and partial differential equations, 2020-06, Vol.59 (3), Article 92

2020

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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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Global Well-Posedness of the 2D Boussinesq Equations with Vertical Dissipation

Archive for rational mechanics and analysis, 2016-06, Vol.220 (3), p.983-1001

2016

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Global well-posedness of strong solutions to a tropical climate model

Discrete and continuous dynamical systems. Series A, 2016-08, Vol.36 (8), p.4495-4516

2016

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Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity

Archive for rational mechanics and analysis, 2014-10, Vol.214 (1), p.35-76

2014

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Global Regularity Criterion for the 3D Navier–Stokes Equations Involving One Entry of the Velocity Gradient Tensor

Archive for rational mechanics and analysis, 2011-12, Vol.202 (3), p.919-932

2011

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Rigorous justification of the hydrostatic approximation limit of viscous compressible flows

Physica. D, 2024-08, Vol.464, p.134195, Article 134195

2024

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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 3D primitive equations with horizontal viscosity and vertical diffusivity

Physica. D, 2020-11, Vol.412, p.132606, Article 132606

2020

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Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations

Archive for rational mechanics and analysis, 2021-08, Vol.241 (2), p.729-764

2021

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Zero Mach Number Limit of the Compressible Primitive Equations: Well-Prepared Initial Data

Archive for rational mechanics and analysis, 2020-11, Vol.238 (2), p.705-747

2020

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On the Effect of Rotation on the Life-Span of Analytic Solutions to the 3D Inviscid Primitive Equations

Archive for rational mechanics and analysis, 2022-02, Vol.243 (2), p.747-806

2022

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

Journal of mathematical analysis and applications, 2016-06, Vol.438 (1), p.492-506

2016

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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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Well-Posedness of Hibler’s Dynamical Sea-Ice Model

Journal of nonlinear science, 2022-08, Vol.32 (4), Article 49

2022

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Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm

Journal of nonlinear science, 2024-04, Vol.34 (2), Article 37

2024

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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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Continuous Data Assimilation Using General Interpolant Observables

Journal of nonlinear science, 2014-04, Vol.24 (2), p.277-304

2014

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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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Assimilation of Nearly Turbulent Rayleigh–Bénard Flow Through Vorticity or Local Circulation Measurements: A Computational Study

Journal of scientific computing, 2018-12, Vol.77 (3), p.1519-1533

2018

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Onsager’s conjecture for subgrid scale α-models of turbulence

Physica. D, 2023-01, Vol.443, p.133553, Article 133553

2023

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

Onsager’s Conjecture for the Incompressible Euler Equations in Bounded Domains

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

Non-uniqueness of weak solutions to hyperviscous Navier–Stokes equations: on sharpness of J.-L. Lions exponent

Continuous data assimilation with stochastically noisy data

Global Well-Posedness of the 2D Boussinesq Equations with Vertical Dissipation

Global well-posedness of strong solutions to a tropical climate model

Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity

Global Regularity Criterion for the 3D Navier–Stokes Equations Involving One Entry of the Velocity Gradient Tensor

Rigorous justification of the hydrostatic approximation limit of viscous compressible flows

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

Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity

Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations

Zero Mach Number Limit of the Compressible Primitive Equations: Well-Prepared Initial Data

On the Effect of Rotation on the Life-Span of Analytic Solutions to the 3D Inviscid Primitive Equations

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

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

Well-Posedness of Hibler’s Dynamical Sea-Ice Model

Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm

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

Continuous Data Assimilation Using General Interpolant Observables

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

Assimilation of Nearly Turbulent Rayleigh–Bénard Flow Through Vorticity or Local Circulation Measurements: A Computational Study

Onsager’s conjecture for subgrid scale α-models of turbulence

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

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