===== Equations de Navier-Stokes / Navier-Stokes equations / Kevatalennoù Navier-Stokes ===== * [[members:lemarie:publications:| Tous les articles / All the papers / An holl pennadoù]] * [[members:lemarie:welcome:| Pierre Gilles Lemarié-Rieusset : home page]] ==== Equations de Navier-Stokes / Navier-Stokes equations / Kevatalennoù Navier-Stokes ==== * 2023 * 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 [[https://link.springer.com/article/10.1007/s00021-023-00788-6|Springer : restricted access]] (unrevised preprint : [[https://arxiv.org/pdf/2209.12196.pdf|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]]) * 2022 * 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 [[https://ems.press/journals/rmi/articles/8736474|EMS Press : restricted access]] (unrevised preprint : [[https://arxiv.org/pdf/2111.03769.pdf|arXiv]]) * 2021 * 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. [[https://www.sciencedirect.com/science/article/abs/pii/S0294144920300895|Science Direct : restricted access]] (unrevised preprint : [[https://arxiv.org/abs/1806.03003|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. [[https://link.springer.com/article/10.1007/s10884-020-09851-6/|Springer : restricted access]] (unrevised preprint : [[https://arxiv.org/p1904.12382.pdf|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. [[https://link.springer.com/article/10.1007/s00021-021-00603-0|Springer : restricted access]] (unrevised preprint : [[https://arxiv.org/abs/2010.00868|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. [[https://www.aimsciences.org/article/doi/10.3934/dcdss.2020408|American Institute of Mathematical Sciences : open access]] * 2020 * 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). [[https://link.springer.com/article/10.1007/s00205-020-01510-w|Springer : restricted access]] (unrevised preprint : [[https://arxiv.org/abs/1906.11038|arXiv]]) * 2019 * 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, 175–179[[https://www.sciencedirect.com/science/article/pii/S1631073X19300159|Science Direct : restricted access]] (unrevised preprint : [[https://hal.archives-ouvertes.fr/hal-01664935|Hal]]) * 2018 * 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. [[https://www.sciencedirect.com/science/article/pii/S002212361730438X|Science Direct : restricted access]] ( [[http://www.maths.univ-evry.fr/prepubli/387.pdf|Preprint (version of 2013)]] [[https://hal.archives-ouvertes.fr/hal-01628946|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. [[https://hal.archives-ouvertes.fr/hal-01580411|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. [[http://onlinelibrary.wiley.com/doi/10.1002/cpa.21728/full|Wiley]] (unrevised preprint : [[http://arxiv.org/abs/1601.06458|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. [[https://link.springer.com/article/10.1007/s00205-017-1191-3|Springer : restricted access]] (unrevised preprint : [[http://arxiv.org/abs/1602.06137|arXiv]]) * 2015 * 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 [[http://epubs.siam.org/toc/sjmaah/47/2|SIAM : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/prepubli/411.pdf]]) * 2012 * 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. [[http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=emj&paperid=96&option_lang=eng| Math.Net.Ru : open access]] * 2011 * 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. [[http://link.springer.com/article/10.1007%2Fs00220-011-1291-0|Springer : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/prepubli/313.pdf]]) * 2009 * 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. [[http://www.sciencedirect.com/science/article/pii/S0362546X07008188| Science Direct : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/pages_perso/lemarie/publi/107_Lemarie_Prioux.pdf]]) * 2008 * 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. [[http://www.sciencedirect.com/science/article/pii/S0167278908000936| Science Direct : restricted access]] (unrevised preprint : {{members:lemarie:publicatiions:physicad3.pdf}}) * 2007 * MR2414497 Lemarié-Rieusset, Pierre Gilles : // The Navier-Stokes equations in the critical Morrey-Campanato space.// ** Rev. Mat. Iberoam.** 23 (2007), no. 3, 897–930. [[http://projecteuclid.org/euclid.rmi/1204128305|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. [[http://iopscience.iop.org/0951-7715/20/6/009| 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. [[http://www.sciencedirect.com/science/article/pii/S0362546X05010485|Science Direct : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/pages_perso/lemarie/publi/107_Lemarie_May.pdf]]) * 2006 * 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. [[http://projecteuclid.org/euclid.rmi/1148492186|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. [[http://www.sciencedirect.com/science/article/pii/S0022247X05006244| Science Direct : open archive]] * 2004 * 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. [[http://www.sciencedirect.com/science/article/pii/S1631073X04000421| Science Direct : restricted access]] * 2000 * 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. [[http://rmi.rsme.es/index.php?option=com_docman&task=cat_view&gid=117&Itemid=91&lang=en|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. [[http://www.sciencedirect.com/science/article/pii/S0764444200001579| 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. [[http://www.sciencedirect.com/science/article/pii/S0764444200001038| Science Direct : restricted access]] * 1999 * 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. [[http://www.sciencedirect.com/science/article/pii/S0764444299804273| Science Direct : restricted access]] * 1998 * 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. [[http://scitation.aip.org/content/aip/journal/jmp/39/8/10.1063/1.532486| AIP : restricted access]] (unrevised preprint : [[http://www.maths.univ-evry.fr/pages_perso/lemarie/publi/098_jmp%20.pdf]]) * 1997 * 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. [[http://www.sciencedirect.com/science/article/pii/S0764444297823488| Science Direct : restricted access]]