Pierre Gilles Lemarié-Rieusset : Articles / Papers / Pennadoù

Equations de Navier-Stokes / Navier-Stokes equations / Kevatalennoù Navier-Stokes
Autres équations aux dérivées partielles / Other partial differential equations / Kevatalennoù all
Intégrales singulières et analyse fonctionnelle / Singular integrals and function analysis / Integralennoù singuler hag analiz fonksionel
Théorie des ondelettes / Wavelet theory / Teorienn ar gwagennigoù
Pierre Gilles Lemarié-Rieusset : home page

Tous les articles / All the papers / An holl pennadoù

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 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)

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 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
- MR3319529 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)
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
- MR3034598 Lemarié-Rieusset, Pierre Gilles : Multipliers and Morrey spaces. Potential Anal. 38 (2013), no. 3, 741–752. Springer : restricted access (unrevised preprint : http://www.maths.univ-evry.fr/prepubli/356.pdf)
- MR3129022 Lemarié-Rieusset, Pierre Gilles : Small data in an optimal Banach space for the parabolic-parabolic and parabolic-elliptic Keller-Segel equations in the whole space. Adv. Differential Equations 18 (2013), no. 11-12, 1189–1208. Euclid : restricted access (unrevised preprint : http://www.maths.univ-evry.fr/prepubli/371.pdf)
- MR3061925 Jouini, Abdellatif; Lemarié-Rieusset, Pierre Gilles: Wavelet bases on the L-shaped domain. Phys. D 254 (2013), 12–17. Science Direct : restricted access (unrevised preprint : http://www.maths.univ-evry.fr/pages_perso/lemarie/publi/103_Lemarie_Jouini.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. 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
- MR2990136 Chamorro, Diego; Lemarié-Rieusset, Pierre Gilles : Quasi-geostrophic equations, nonlinear Bernstein inequalities and $\alpha$-stable processes. Rev. Mat. Iberoam. 28 (2012), no. 4, 1109–1122. EMS : restricted access (preprint : http://www.maths.univ-evry.fr/prepubli/310.pdf)
- MR2909904 Lemarié-Rieusset, Pierre Gilles : Euler equations and real harmonic analysis. Arch. Ration. Mech. Anal. 204 (2012), no. 2, 355–386. Springer : restricted access (unrevised preprint : euler_rha_arma.pdf)
- 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
- 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)
- MR2817380 Lemarié-Rieusset, Pierre Gilles : Une remarque sur la valeur absolue dans certains espaces de Sobolev ou de Besov. [Remark on the absolute value in certain Sobolev or Besov spaces] C. R. Math. Acad. Sci. Paris 349 (2011), no. 11-12, 629–632. Science Direct : restricted access (unrevised preprint : http://www.maths.univ-evry.fr/pages_perso/lemarie/publi/111_absol.pdf)
- MR2804017 Ajmi, Neyla; Jouini, Abdellatif; Lemarié Rieusset, Pierre Gilles : Wavelet bases on a triangle. Appl. Math. Comput. 217 (2011), no. 22, 9387–9396. Science Direct : restricted access (unrevised preprint : http://www.maths.univ-evry.fr/prepubli/300.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. 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. 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
- 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)
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
- 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)
- 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