MR4595638 Lemarié-Rieusset, Pierre-Gilles : Forces for the Navier–Stokes equations and the Koch and Tataru theorem. J. Math. Fluid Mech. 25 (2023), no. 3, Paper No. 51, 16 pp Springer : restricted access (unrevised preprint : arXiv)

Lemarié-Rieusset, Pierre-Gilles : The Navier–Stokes equations in mixed-norm time-space parabolic Morrey spaces. to appear in Tunisian J. Math. (unrevised preprint : https://cnrs.hal.science/hal-04114339 Hal)

MR4526314 Lemarié-Rieusset, Pierre-Gilles : A remark on weak-strong uniqueness for suitable weak solutions of the Navier–Stokes equations. to appear in Rev. Mat. Iberoamericana 38 (2022), no. 7, pp. 2217–2248 EMS Press : restricted access (unrevised preprint : arXiv)

MR4227049 Chamorro, Diego; Jarrín, Oscar; Lemarié-Rieusset, Pierre-Gilles : Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces. Ann. Inst. H. Poincaré Anal. Non Linéaire 38 (2021), no. 3, 689–710. Science Direct : restricted access (unrevised preprint : arXiv)

MR4248648 Chamorro, Diego; Jarrín, Oscar; Lemarié-Rieusset, Pierre-Gilles : On the Kolmogorov dissipation law in a damped Navier-Stokes equation. J. Dynam. Differential Equations 33 (2021), no. 2, 1109–1134. Springer : restricted access (unrevised preprint : arXiv)

MR4285150 Fernández-Dalgo, Pedro Gabriel; Lemarié-Rieusset, Pierre Gilles : Weighted energy estimates for the incompressible Navier-Stokes equations and applications to axisymmetric solutions without swirl. J. Math. Fluid Mech. 23 (2021), no. 3, Paper No. 76, 20 pp. Springer : restricted access (unrevised preprint : arXiv)

MR4288119 Fernández-Dalgo, Pedro Gabriel; Lemarié-Rieusset, Pierre Gilles : Characterisation of the pressure term in the incompressible Navier–Stokes equations on the whole space. Discrete & Continuous Dynamical Systems - S 14 (2021), no. 8, 2917–2931. American Institute of Mathematical Sciences : open access

MR4090469 Fernández-Dalgo, Pedro Gabriel; Lemarié-Rieusset, Pierre Gilles : Weak solutions for Navier-Stokes equations with initial data in weighted L^2 spaces. Arch. Ration. Mech. Anal. 237 (2020). Springer : restricted access (unrevised preprint : arXiv)

MR3927023 Chamorro, Diego; Jarrín, Oscar; Lemarié-Rieusset, Pierre-Gilles; Frequency decay for Navier–Stokes stationary solutions. C. R. Math. Acad. Sci. Paris 357 (2019), no. 2, 175–179Science Direct : restricted access (unrevised preprint : Hal)

MR3734981 Lemarié-Rieusset, Pierre Gilles : Sobolev multipliers, maximal functions and parabolic equations with a quadratic nonlinearity. J. Funct. Anal. 274 (2018), no. 3, 659–694. Science Direct : restricted access ( Preprint (version of 2013) Preprint (version of 2016))

MR3818667 Chamorro, Diego; Lemarié-Rieusset, Pierre Gilles; Mayoufi, Kawther : Local stability of energy estimates for the Navier–Stokes equations. Comm. Contemp. Math. 710 (2018), 53-64. Hal

Ibrahim, Slim; Lemarié-Rieusset, Pierre Gilles; Masmoudi, Nader : Time-periodic forcing and asymptotic stability for the Navier Stokes Maxwell equations. Comm. Pure Appll. Math. 71 (2018), no. 1, 51–89. Wiley (unrevised preprint : arXiv)

MR3749261 Chamorro, Diego; Lemarié-Rieusset, Pierre Gilles; Mayoufi, Kawther : The role of the pressure in the partial regularity theory for weak solutions of the Navier-Stokes equations. Arch. Rat. Mech. Anal. 228 (2018), no. 1, 237–277. Springer : restricted access (unrevised preprint : arXiv)

Lemarié-Rieusset, Pierre Gilles : On some classes of time-periodic solutions for the Navier-Stokes equations in the whole space. SIAM J. Math. Anal. 47 (2015), no. 2, 1022-1043 SIAM : restricted access (unrevised preprint : http://www.maths.univ-evry.fr/prepubli/411.pdf)

MR3024130 Lemarié-Rieusset, Pierre Gilles : The role of Morrey spaces in the study of Navier-Stokes and Euler equations. Eurasian Math. J. 3 (2012), no. 3, 62–93. Math.Net.Ru : open access

MR2835875 Lemarié-Rieusset, Pierre Gilles; Lelièvre, Frédéric : Suitable solutions for the Navier-Stokes problem with an homogeneous initial value. Comm. Math. Phys. 307 (2011), no. 1, 133–156. Springer : restricted access (unrevised preprint : http://www.maths.univ-evry.fr/prepubli/313.pdf)

MR2468236 Lemarié-Rieusset, Pierre-Gilles; Prioux, Nicolas : The Navier-Stokes equations with data in ${\rm bmo}^{-1}$. Nonlinear Anal. 70 (2009), no. 1, 280–297. Science Direct : restricted access (unrevised preprint : http://www.maths.univ-evry.fr/pages_perso/lemarie/publi/107_Lemarie_Prioux.pdf)

MR2454591 Lemarié-Rieusset, Pierre Gilles : The Picard iterates for the Navier-Stokes equations in $L^3(\Bbb R^3)$. Phys. D 237 (2008), no. 10-12, 1334–1345. Science Direct : restricted access (unrevised preprint : physicad3.pdf)

MR2414497 Lemarié-Rieusset, Pierre Gilles : The Navier-Stokes equations in the critical Morrey-Campanato space. Rev. Mat. Iberoam. 23 (2007), no. 3, 897–930. Euclid : open access

MR2327134 Lemarié-Rieusset, Pierre Gilles : Uniqueness for the Navier-Stokes problem: remarks on a theorem of Jean-Yves Chemin. Nonlinearity 20 (2007), no. 6, 1475–1490. IOP : restricted access (unrevised preprint : http://www.maths.univ-evry.fr/pages_perso/lemarie/publi/107_kritik.pdf)

MR2288434 Lemarié-Rieusset, Pierre Gilles; May, Ramzi : Uniqueness for the Navier-Stokes equations and multipliers between Sobolev spaces. Nonlinear Anal. 66 (2007), no. 4, 819–838. Science Direct : restricted access (unrevised preprint : http://www.maths.univ-evry.fr/pages_perso/lemarie/publi/107_Lemarie_May.pdf)

MR2268123 Lemarié-Rieusset, Pierre Gilles : Point fixe d'une application non contractante. (French) [Fixed point of a noncontractive mapping] Rev. Mat. Iberoam. 22 (2006), no. 1, 339–356. [Fixed point of a noncontractive mapping] Rev. Mat. Iberoam. 22 (2006), no. 1, 339–356. Euclid : open access

MR2230466 Lemarié-Rieusset, Pierre Gilles; Zhioua, Ali : Weakly singular initial values for the Stokes equation on a half space. J. Math. Anal. Appl. 320 (2006), no. 1, 205–229. Science Direct : open archive

MR2057722 Lemarié-Rieusset, Pierre-Gilles : Nouvelles remarques sur l'analyticité des solutions milds des équations de Navier-Stokes dans $\Bbb R^3$. (French) [Further remarks on the analyticity of mild solutions for the Navier-Stokes equations in $\Bbb R^3$] C. R. Math. Acad. Sci. Paris 338 (2004), no. 6, 443–446. Science Direct : restricted access

MR1813331 Furioli, Giulia; Lemarié-Rieusset, Pierre G.; Terraneo, Elide : Unicité dans $L^3(\Bbb R^3)$ et d'autres espaces fonctionnels limites pour Navier-Stokes. (French) [Uniqueness in $L^3(\Bbb R^3)$ and other functional limit spaces for Navier-Stokes equations] Rev. Mat. Iberoamericana 16 (2000), no. 3, 605–667. RMI : free access

MR1751667 Furioli, Giulia; Lemarié-Rieusset, Pierre Gilles; Zahrouni, Ezzedine; Zhioua, Ali : Un théorème de persistance de la régularité en norme d'espaces de Besov pour les solutions de Koch et Tataru des équations de Navier-Stokes dans $\mathbb{R}^3$. (French) [A theorem of preservation of regularity in the norm of Besov spaces for the Koch-Tataru solutions of the Navier-Stokes equations in $\mathbb{R}^3$] C. R. Acad. Sci. Paris Sér. I Math. 330 (2000), no. 5, 339–342. Science Direct : restricted access

MR1748305 Lemarié-Rieusset, Pierre Gilles : Une remarque sur l'analyticité des solutions milds des équations de Navier-Stokes dans $\mathbb{R}^3$. (French) [On the analyticity of mild solutions for the Navier-Stokes equations in ${\bf R}^3$] C. R. Acad. Sci. Paris Sér. I Math. 330 (2000), no. 3, 183–186. Science Direct : restricted access

MR1701373 Lemarié-Rieusset, Pierre Gilles : Solutions faibles d'énergie infinie pour les équations de Navier-Stokes dans $\mathbb{R}^3$. (French) [Weak infinite-energy solutions for the Navier-Stokes equations in $\mathbb{R}^3$] C. R. Acad. Sci. Paris Sér. I Math. 328 (1999), no. 12, 1133–1138. Science Direct : restricted access

MR1633211 Lemarié-Rieusset, Pierre Gilles : Some remarks on the Navier-Stokes equations in $\mathbb{R}^3$. J. Math. Phys. 39 (1998), no. 8, 4108–4118. AIP : restricted access (unrevised preprint : http://www.maths.univ-evry.fr/pages_perso/lemarie/publi/098_jmp%20.pdf)

MR1490408 Furioli, Giulia; Lemarié-Rieusset, Pierre-Gilles; Terraneo, Elide : Sur l'unicité dans $L^3(\mathbb{R}^3)$ des solutions “mild'' des équations de Navier-Stokes. (French) [On the uniqueness in $L^3(\mathbb{R}^3)$ of mild solutions for the Navier-Stokes equations] C. R. Acad. Sci. Paris Sér. I Math. 325 (1997), no. 12, 1253–1256. Science Direct : restricted access