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)
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)
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)
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.
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
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).
Springer : restricted access (unrevised preprint :
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.
Science Direct : restricted access (unrevised preprint :
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.
Science Direct : restricted access (
Hal)
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
MR3730011 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 : restricted access (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)
2016
MR3520809 Lazar, Omar; Lemarié-Rieusset, Pierre Gilles : // Infinite energy solutions for a 1D transport equation with nonlocal velocity.// ** Dyn. Partial Differ. Equ.** 13 (2016), no. 2, 107–131.
International Presss : open access
2015
MR3349618 Ajmi, Neyla; Jouini, Abdellatif; Lemarié-Rieusset, Pierre Gilles: // Biorthogonal multiresolution analysis on a triangle and applications.// ** J. Comput. Appl. Math. ** 288 (2015), 233–243
Science Direct : open access
-
2014
MR3269728 Lemarié-Rieusset, Pierre Gilles :
Erratum to: Multipliers and Morrey spaces. Potential Anal. 41 (2014), no. 4, 1359–1362.
Springer : open access
2013
MR3110500 Chamorro, Diego; Lemarié-Rieusset, Pierre-Gilles : // Real interpolation method, Lorentz spaces and refined Sobolev inequalities.// ** J. Funct. Anal.** 265 (2013), no. 12, 3219–3232.
Science Direct : open access
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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.
Math.Net.Ru : open access
MR2949871 Lemarié-Rieusset, Pierre Gilles : // A remark on the div-curl lemma.// ** Studia Math.** 210 (2012), no. 1, 77–92.
EUDML : open access
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Lemarié-Rieusset, Pierre Gilles : // Good or not so good papers I have read or have not read, // in
All that math, Portraits of mathematicians as young readers., ** Revista Mat. Ibero-amer. ** (special issue, 2012), 201-204
RMI :free access
2011
2009
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.
Science Direct : restricted access (unrevised preprint :
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.
Euclid : open access
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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.
Euclid : open access
MR2250634 Lemarié-Rieusset, Pierre Gilles; Gala, Sadek : // Multipliers between Sobolev spaces and fractional differentiation.// ** J. Math. Anal. Appl.** 322 (2006), no. 2, 1030–1054.
Science Direct : open archive
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
2005
MR2181389 Marchand, Fabien; Lemarié-Rieusset, Pierre Gilles // Solutions auto-similaires non radiales pour l'équation quasi-géostrophique dissipative critique.// (French) [Non-radial self-similar solutions for the critical dissipative quasi-geostrophic equation] ** C. R. Math. Acad. Sci. Paris ** 341 (2005), no. 9, 535–538.
Science Direct : restricted access
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.
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.
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
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.
Science Direct : restricted access
1998
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MR1492794 Lemarié-Rieusset, Pierre Gilles; Zahrouni, Ezzedine : // More regular wavelets.// ** Appl. Comput. Harmon. Anal. ** 5 (1998), no. 1, 92–105.
Science Direct : open archive
1997
MR1617661 Kateb, Djalil; Lemarié-Rieusset, Pierre Gilles : // The phase of the Daubechies filters. // ** Rev. Mat. Iberoamericana ** 13 (1997), no. 2, 245–305.
RMI : free access
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
MR1462330 Lemarié-Rieusset, Pierre Gilles : // Fonctions d'échelle interpolantes, polynômes de Bernstein et ondelettes non stationnaires.// (French) [Interpolating scaling functions, Bernstein polynomials and nonstationary wavelets] ** Rev. Mat. Iberoamericana ** 13 (1997), no. 1, 91–188.
RMI : free access
MR1429683 Lemarié-Rieusset,Pierre Gilles : // On the existence of compactly supported dual wavelets.// ** Appl. Comput. Harmon. Anal.** 4 (1997), no. 1, 117–118.
Science Direct : open archive
1996
MR1429544 Lemarie-Rieusset, Pierre Gilles : // Some remarks on orthogonal and bi-orthogonal wavelets. // ** Mat. Apl. Comput. ** 15 (1996), no. 2, 125–137.
Google books : open access
MR1386461 Lemarié-Rieusset, Pierre-Gilles : // Une nouvelle famille d'ondelettes à support compact.// (French) [A new family of compactly supported wavelets] ** C. R. Acad. Sci. Paris ** Sér. I Math. 322 (1996), no. 7, 609–611.
1995
MR1364906 Lemarié-Rieusset, Pierre Gilles : // Ondelettes et fonctions d'échelle à support compact.// (French) [Compactly supported wavelets and scaling functions] Proceedings of the Conference in Honor of Jean-Pierre Kahane (Orsay, 1993). ** J. Fourier Anal. Appl.** 1995, Special Issue, 509–523.
MR1354918 Kateb, Djalil; Lemarié-Rieusset, Pierre Gilles : // Asymptotic behavior of the Daubechies filters.// ** Appl. Comput. Harmon. Anal.** 2 (1995), no. 4, 398–399.
Science Direct : open archive
MR1320821 Kateb, Djalil; Lemarié-Rieusset, Pierre-Gilles : // Sur la phase des filtres de Daubechies.// (French) [On the phase of the Daubechies filters] ** C. R. Acad. Sci. Paris ** Sér. I Math. 320 (1995), no. 1, 5–8.
1994
MR1300948 Lemarié-Rieusset, Pierre-Gilles : // Un théorème d'inexistence pour les ondelettes vecteurs à divergence nulle.// (French) [A nonexistence theorem for divergence-free vector wavelets] ** C. R. Acad. Sci. Paris ** Sér. I Math. 319 (1994), no. 8, 811–813.
MR1286477 Lemarié-Rieusset, Pierre-Gilles : // Projecteurs invariants, matrices de dilatation, ondelettes et analyses multi-résolutions.// (French) [Invariant projectors, dilation matrices, wavelets and multiresolution analyses] ** Rev. Mat. Iberoamericana ** 10 (1994), no. 2, 283–347.
RMI : free access
MR1285891 Lemarié-Rieusset, Pierre-Gilles : // Polynômes de Bernstein en théorie des ondelettes.// (French) [Bernstein polynomials and wavelets] ** C. R. Acad. Sci. Paris ** Sér. I Math. 319 (1994), no. 1, 21–24.
MR1282348 Lemarié-Rieusset, Pierre-Gilles : // Distributions dont tous les coefficients d'ondelettes sont nuls.// (French) [For which distributions are all wavelet coefficients equal to $0$?] ** C. R. Acad. Sci. Paris ** Sér. I Math. 318 (1994), no. 12, 1083–1086.
MR1274015 Kahane, Jean-Pierre; Lemarié-Rieusset, Pierre-Gilles : // Remarques sur la formule sommatoire de Poisson.// (French) [Remarks on the Poisson summation formula] ** Studia Math.** 109 (1994), no. 3, 303–316.
EUDML : open access
MR1259500 Lemarié-Rieusset, Pierre Gilles : // Ondelettes et poids de Muckenhoupt.// (French) [Wavelets and Muckenhoupt weights] ** Studia Math. ** 108 (1994), no. 2, 127–147.
EUDML : open access
1993
MR1257222 Lemarié-Rieusset, Pierre-Gilles : // Une remarque sur les propriétés multi-résolution des fonctions splines.// (French) [A remark on the multiresolution properties of spline functions] ** C. R. Acad. Sci. Paris ** Sér. I Math. 317 (1993), no. 12, 1115–1117.
MR1246463 Jouini, Abdellatif; Lemarie-Rieusset, Pierre Gilles : // Analyse multi-résolution bi-orthogonale sur l'intervalle et applications.// (French) [Biorthogonal multiresolution analysis on the interval, and applications] ** Ann. Inst. H. Poincaré Anal. Non Linéaire ** 10 (1993), no. 4, 453–476.
Numdam : open access
MR1232847 Lemarié-Rieusset, Pierre-Gilles : // Ondelettes generalisées et fonctions d'échelle à support compact.// (French) [Generalized wavelets and scaling functions with compact support] ** Rev. Mat. Iberoamericana ** 9 (1993), no. 2, 333–371.
EUDML : free access
MR1202535 Lemarié-Rieusset, Pierre Gilles : // Fonctions d'échelle pour les ondelettes de dimension $n$.// (French) [Scaling functions for $n$-dimensional wavelets] ** C. R. Acad. Sci. Paris ** Sér. I Math. 316 (1993), no. 2, 145–148.
1992
MR1202418 Lemarié-Rieusset, Pierre Gilles : // Sur l'existence des analyses multi-résolutions en théorie des ondelettes.// (French) [On the existence of multiresolution analyses in wavelet theory] ** Rev. Mat. Iberoamericana** 8 (1992), no. 3, 457–474.
EUDML free access
MR1191345 Lemarie-Rieusset, Pierre Gilles : // Analyses multi-résolutions non orthogonales, commutation entre projecteurs et dérivation et ondelettes vecteurs à divergence nulle.// (French) [Nonorthogonal multiresolution analyses, commutation between projectors and differentiation and divergence-free vector wavelets] ** Rev. Mat. Iberoamericana ** 8 (1992), no. 2, 221–237.
EUDML : free access
MR1149631 Lemarié-Rieusset, Pierre-Gilles : // Existence de “fonction-père” pour les ondelettes à support compact.// (French) [Existence of “father functions” for compactly supported wavelets] ** C. R. Acad. Sci. Paris ** Sér. I Math. 314 (1992), no. 1, 17–19.
1991
MR1133376 Lemarié, Pierre Gilles : // Fonctions à support compact dans les analyses multi-résolutions.// (French) [Compactly supported functions in multiresolution analyses] ** Rev. Mat. Iberoamericana ** 7 (1991), no. 2, 157–182.
EUDML : free access
MR1126417 Lemarié-Rieusset, Pierre-Gilles; Malgouyres, Gérard : // Support des fonctions de base dans une analyse multi-résolution.// (French) [Support of the scaling function in a multiresolution analysis] ** C. R. Acad. Sci. Paris ** Sér. I Math. 313 (1991), no. 6, 377–380.
MR1126382 Lemarié-Rieusset, Pierre Gilles : // Ondelettes vecteurs à divergence nulle.// [Divergence-free vector wavelets] ** C. R. Acad. Sci. Paris ** Sér. I Math. 313 (1991), no. 5, 213–216.
MR1108488 Lemarié, Pierre Gilles : // La propriété de support minimal dans les analyses multi-résolution.// (French) [The minimal-support property in multi-resolution analysis] ** C. R. Acad. Sci. Paris ** Sér. I Math. 312 (1991), no. 11, 773–776.
Lemarié, Pierre Gilles :
Ondelettes et opérateurs //[russian] ** Algebra and Analysis ** (Leningrad) 3, 253-264 Math-Net.Ru : open access
* 1989
* MR1015808 Lemarié, Pierre Gilles : // Base d'ondelettes sur les groupes de Lie stratifiés. (French) [Basis of wavelets on stratified Lie groups] ** Bull. Soc. Math. France ** 117 (1989), no. 2, 211–232.
Numdam : open access
1988
MR0964171 Lemarié, Pierre Gilles : // Ondelettes à localisation exponentielle.// (French) [Ondelettes with exponential localization] ** J. Math. Pures Appl.** (9) 67 (1988), no. 3, 227–236.
1986
MR0864650 Lemarié, P. G.; Meyer, Y. : // Ondelettes et bases hilbertiennes.// (French) [Wavelets and Hilbert bases] ** Rev. Mat. Iberoamericana ** 2 (1986), no. 1-2, 1–18.
EUDML : free access
1985
MR0812324 Lemarié, Pierre Gilles : // Continuité sur les espaces de Besov des opérateurs définis par des intégrales singulières.// (French) [Continuity on Besov spaces of operators defined by singular integrals] ** Ann. Inst. Fourier ** (Grenoble) 35 (1985), no. 4, 175–187.
Numdam : open access