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Weak solutions for Navier--Stokes equations with initial data in weighted $L^2$ spaces.

Pedro Gabriel Fernández-Dalgo , Pierre Gilles Lemarié-Rieusset
Archive for Rational Mechanics and Analysis, 2020, 237 (1), pp.347-382. ⟨10.1007/s00205-020-01510-w⟩
Article dans une revue hal-02164545v1
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The role of the pressure in the partial regularity theory for weak solutions of the Navier–Stokes equations

Diego Chamorro , Pierre-Gilles Lemarié-Rieusset , Kawther Mayoufi
2016
Pré-publication, Document de travail hal-01275758v1
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Erratum to ''Multipliers and Morrey spaces

Pierre Gilles Lemarié-Rieusset
Potential Analysis, 2014, 41 (4), pp.1359-1362. ⟨10.1007/s11118-014-9407-8⟩
Article dans une revue hal-00974630v1
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Real variable methods in harmonic analysis and Navier-Stokes equations

Pierre Gilles Lemarié-Rieusset
Harmonic Analysis and Applications, In press
Chapitre d'ouvrage hal-02176217v1
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Interpolation, extrapolation, Morrey spaces and local energy control for the Navier--Stokes equations.

Pierre Gilles Lemarié-Rieusset
Banach Center Publications, 2019, 119, pp.279-294. ⟨10.4064/bc119-16⟩
Article dans une revue hal-01981330v1
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Real Interpolation method, Lorentz spaces and refined Sobolev inequalities

Diego Chamorro , Pierre-Gilles Lemarié-Rieusset
2012
Pré-publication, Document de travail hal-00751688v1
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Parabolic Morrey spaces and mild solutions to Navier--Stokes equations.

P.G. Lemarié-Rieusset
Recent Progress in the Theory of the Euler and Navier–Stokes Equations, 1, Cambridge University Press, pp.126-136, 2016, ⟨10.1017/CBO9781316407103.008⟩
Chapitre d'ouvrage hal-00993451v1
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Weighted energy estimates for the incompressible Navier-Stokes equations and applications to axisymmetric solutions without swirl

Pedro Gabriel Fernández-Dalgo , Pierre Gilles Lemarié-Rieusset
Journal of Mathematical Fluid Mechanics, 2021, 23 (3), pp.76. ⟨10.1007/s00021-021-00603-0⟩
Article dans une revue hal-02955438v2
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Frequency decay for Navier-Stokes stationary solutions

Diego Chamorro , Oscar Jarrín , Pierre-Gilles Lemarié-Rieusset
Comptes Rendus. Mathématique, 2019, 357 (2), pp.175-179. ⟨10.1016/j.crma.2018.12.007⟩
Article dans une revue hal-01664935v1
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Highly singular (frequentially sparse) steady solutions for the 2D Navier-Stokes equations on the torus

Pierre Gilles Lemarié-Rieusset
2024
Pré-publication, Document de travail hal-04451680v1
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Infinite energy solutions for a 1D transport equation with nonlocal velocity

Omar Lazar , Pierre-Gilles Lemarié-Rieusset
2015
Pré-publication, Document de travail hal-01159627v1
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Sobolev multipliers, maximal functions and parabolic equations with a quadratic nonlinearity

Pierre Gilles Lemarié-Rieusset
Journal of Functional Analysis, 2018, 274 (3), pp.659-694. ⟨10.1016/j.jfa.2017.11.009⟩
Article dans une revue hal-01628946v1
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Local stability of energy estimates for the Navier–Stokes equations

Diego Chamorro , Pierre Gilles Lemarié-Rieusset , Kawther Mayoufi
International Conference on Vorticity, Rotation and Symmetry (IV)—Complex Fluids and the Issue of Regularity, Centre International de Rencontres Mathématiques (CIRM), Luminy, Marseille, France, May 2017, Luminy (Marseille), France. pp.53-64
Communication dans un congrès hal-01580411v1
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Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces

Diego Chamorro , Oscar Jarrín , Pierre-Gilles Lemarié-Rieusset
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2021, 38 (3), pp.689-710. ⟨10.1016/j.anihpc.2020.08.006⟩
Article dans une revue hal-01802544v2
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Forces for the Navier-Stokes equations and the Koch and Tataru theorem

Pierre Gilles Lemarié-Rieusset
2023
Pré-publication, Document de travail hal-03787489v3
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A remark on weak-strong uniqueness for suitable weak solutions of the Navier-Stokes equations

Pierre Gilles Lemarié-Rieusset
Revista Matemática Iberoamericana, 2022, 38 (7), pp.2217-2248. ⟨10.4171/RMI/1386⟩
Article dans une revue hal-03417963v1