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Global existence of weak solutions for compressible Navier–Stokes equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor

Annals of mathematics, 2018-09, Vol.188 (2), p.577-684

2018

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The Soundproof Model of an Acoustic–internal Waves System with Low Stratification

Journal of mathematical fluid mechanics, 2022-11, Vol.24 (4), Article 95

2022

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On the existence of global weak solutions to the Navier–Stokes equations for viscous compressible and heat conducting fluids

Journal de mathématiques pures et appliquées, 2007, Vol.87 (1), p.57-90

2007

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Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model

Communications in mathematical physics, 2003-07, Vol.238 (1-2), p.211-223

2003

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Global Weak Solutions to One-Dimensional Non-Conservative Viscous Compressible Two-Phase System

Communications in mathematical physics, 2012-02, Vol.309 (3), p.737-755

2012

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Regime of Validity of Soundproof Atmospheric Flow Models

Journal of the atmospheric sciences, 2010-10, Vol.67 (10), p.3226-3237

2010

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On Navier–Stokes–Korteweg and Euler–Korteweg Systems: Application to Quantum Fluids Models

Archive for rational mechanics and analysis, 2019-09, Vol.233 (3), p.975-1025

2019

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Extension of the Hoff solutions framework to cover Navier-Stokes equations for a compressible fluid with anisotropic viscous-stress tensor

Indiana University mathematics journal, 2023, Vol.72 (5), p.2145-2189

2023

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Functional inequalities and strong Lyapunov functionals for free surface flows in fluid dynamics

Interfaces and free boundaries, 2024-01, Vol.26 (1), p.1-30

2024

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Well-posedness of two-layer shallow-water flow between two horizontal rigid plates

Nonlinearity, 2011-04, Vol.24 (4), p.1081-1088

2011

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Lubrication and shallow-water systems Bernis-Friedman and BD entropies

ESAIM. Proceedings and surveys, 2020, Vol.69, p.1-23

2020

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Mean field limit and quantitative estimates with singular attractive kernels

Duke mathematical journal, 2023-09, Vol.172 (13)

2023

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On mean-field limits and quantitative estimates with a large class of singular kernels: Application to the Patlak–Keller–Segel model

Comptes rendus. Mathématique, 2019-09, Vol.357 (9), p.708-720

2019

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Relative entropy for compressible Navier-Stokes equations with density dependent viscosities and various applications

ESAIM. Proceedings and surveys, 2017, Vol.58, p.40-57

2017

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Mathematical justification of a compressible bi-fluid system with different pressure laws: A semi-discrete approach and numerical illustrations

Journal of computational physics, 2023-10, Vol.490, p.112259, Article 112259

2023

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Finite-Energy Solutions for Compressible Two-Fluid Stokes System

Archive for rational mechanics and analysis, 2019-05, Vol.232 (2), p.987-1029

2019

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Aging and linear response in the Hébraud-Lequeux model for amorphous rheology

Journal of physics. A, Mathematical and theoretical, 2017-04, Vol.50 (16), p.165002

2017

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Development of congestion in compressible flow with singular pressure

Asymptotic analysis, 2017-01, Vol.103 (1-2), p.95-101

2017

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Mathematical Justification of a Shallow Water Model

Methods and applications of analysis, 2007, Vol.14 (2), p.87-118

2007

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Global existence of entropy-weak solutions to the compressible Navier–Stokes equations with non-linear density dependent viscosities

Journal of the European Mathematical Society : JEMS, 2022-01, Vol.24 (5), p.1791-1837

2022

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A new approach to the mean-field limit of Vlasov-Fokker-Planck equations

Analysis & PDE, 2023

2023

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Compressible Navier–Stokes equations with heterogeneous pressure laws

Nonlinearity, 2021-06, Vol.34 (6), p.4115-4162

2021

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Two-velocity hydrodynamics in fluid mechanics: Part II Existence of global κ-entropy solutions to the compressible Navier–Stokes systems with degenerate viscosities

Journal de mathématiques pures et appliquées, 2015-10, Vol.104 (4), p.801-836

2015

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Global Existence of Weak Solutions for Compresssible Navier--Stokes--Fourier Equations with the Truncated Virial Pressure Law

Communications in Applied and Industrial Mathematics, 2023-05, Vol.14 (1), p.17-49

2023

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Newtonian Limit for Weakly Viscoelastic Fluid Flows

SIAM journal on mathematical analysis, 2014-01, Vol.46 (2), p.1116-1159

2014

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Global existence of weak solutions for compressible Navier–Stokes equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor

The Soundproof Model of an Acoustic–internal Waves System with Low Stratification

On the existence of global weak solutions to the Navier–Stokes equations for viscous compressible and heat conducting fluids

Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model

Global Weak Solutions to One-Dimensional Non-Conservative Viscous Compressible Two-Phase System

Regime of Validity of Soundproof Atmospheric Flow Models

On Navier–Stokes–Korteweg and Euler–Korteweg Systems: Application to Quantum Fluids Models

Extension of the Hoff solutions framework to cover Navier-Stokes equations for a compressible fluid with anisotropic viscous-stress tensor

Functional inequalities and strong Lyapunov functionals for free surface flows in fluid dynamics

Well-posedness of two-layer shallow-water flow between two horizontal rigid plates

Lubrication and shallow-water systems Bernis-Friedman and BD entropies

Mean field limit and quantitative estimates with singular attractive kernels

On mean-field limits and quantitative estimates with a large class of singular kernels: Application to the Patlak–Keller–Segel model

Relative entropy for compressible Navier-Stokes equations with density dependent viscosities and various applications

Mathematical justification of a compressible bi-fluid system with different pressure laws: A semi-discrete approach and numerical illustrations

Finite-Energy Solutions for Compressible Two-Fluid Stokes System

Aging and linear response in the Hébraud-Lequeux model for amorphous rheology

Development of congestion in compressible flow with singular pressure

Mathematical Justification of a Shallow Water Model

Global existence of entropy-weak solutions to the compressible Navier–Stokes equations with non-linear density dependent viscosities

A new approach to the mean-field limit of Vlasov-Fokker-Planck equations

Compressible Navier–Stokes equations with heterogeneous pressure laws

Two-velocity hydrodynamics in fluid mechanics: Part II Existence of global κ-entropy solutions to the compressible Navier–Stokes systems with degenerate viscosities

Global Existence of Weak Solutions for Compresssible Navier--Stokes--Fourier Equations with the Truncated Virial Pressure Law

Newtonian Limit for Weakly Viscoelastic Fluid Flows

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