Tartar, Luc Approximation of H-measures and beyond. (English) Zbl 07800853 Ann. Math. Sci. Appl. 8, No. 3, 461-497 (2023). MSC: 81-XX 91-XX PDFBibTeX XMLCite \textit{L. Tartar}, Ann. Math. Sci. Appl. 8, No. 3, 461--497 (2023; Zbl 07800853) Full Text: DOI
Tartar, Luc Towards better mathematical models for physics. (English) Zbl 1428.35560 Ben Ayed, Mohamed (ed.) et al., Partial differential equations arising from physics and geometry. A volume in memory of Abbas Bahri. Based on the conference, Hammamet, Tunisia, March 20–29, 2015. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 450, 332-454 (2019). MSC: 35Q60 35-02 35-03 35Q20 78A02 74B99 83A05 83C35 60J65 74J10 01A05 PDFBibTeX XMLCite \textit{L. Tartar}, Lond. Math. Soc. Lect. Note Ser. 450, 332--454 (2019; Zbl 1428.35560) Full Text: DOI
Hamdache, Kamel; Tartar, Luc The appearance of memory effects for a conservative system. (English) Zbl 1411.35026 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 177, Part B, 532-542 (2018). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 35B27 34A33 35R09 PDFBibTeX XMLCite \textit{K. Hamdache} and \textit{L. Tartar}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 177, Part B, 532--542 (2018; Zbl 1411.35026) Full Text: DOI
Tartar, Luc H-measures and propagation effects. (English) Zbl 1386.74120 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 4, 701-728 (2017). MSC: 74Q10 35B27 PDFBibTeX XMLCite \textit{L. Tartar}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 4, 701--728 (2017; Zbl 1386.74120) Full Text: DOI
Tartar, Luc Compensated compactness with more geometry. (English) Zbl 1364.35002 Chen, Gui-Qiang G. (ed.) et al., Differential geometry and continuum mechanics. Proceedings of the ICMS workshop, Edinburgh, UK, June 17–21, 2013. Cham: Springer (ISBN 978-3-319-18572-9/hbk; 978-3-319-18573-6/ebook). Springer Proceedings in Mathematics & Statistics 137, 3-26 (2015). Reviewer: Marcus Waurick (Dresden) MSC: 35-01 74-01 35Q60 35B27 PDFBibTeX XMLCite \textit{L. Tartar}, Springer Proc. Math. Stat. 137, 3--26 (2015; Zbl 1364.35002) Full Text: DOI
Tartar, Luc Multi-scales H-measures. (English) Zbl 1312.35013 Discrete Contin. Dyn. Syst., Ser. S 8, No. 1, 77-90 (2015). MSC: 35B27 PDFBibTeX XMLCite \textit{L. Tartar}, Discrete Contin. Dyn. Syst., Ser. S 8, No. 1, 77--90 (2015; Zbl 1312.35013) Full Text: DOI
Tartar, Luc About two types of microstructures adapted to heat evacuation and elastic stress: snow flakes and quasi-crystals. (English) Zbl 1265.35219 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 1, 84-108 (2012). MSC: 35L65 80A20 82D25 PDFBibTeX XMLCite \textit{L. Tartar}, Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 1, 84--108 (2012; Zbl 1265.35219) Full Text: DOI
Tartar, Luc On a homogenization effect for a two-dimensional diffusion plus transport equation. (English) Zbl 1291.35238 Boll. Unione Mat. Ital. (9) 5, No. 2, 281-307 (2012). MSC: 35Q35 35B27 PDFBibTeX XMLCite \textit{L. Tartar}, Boll. Unione Mat. Ital. (9) 5, No. 2, 281--307 (2012; Zbl 1291.35238)
Acharya, Amit; Tartar, Luc On an equation from the theory of field dislocation mechanics. (English) Zbl 1233.35186 Boll. Unione Mat. Ital. (9) 4, No. 3, 409-444 (2011). Reviewer: Li Xing (Yinchuan) MSC: 35Q74 35Q70 35B30 PDFBibTeX XMLCite \textit{A. Acharya} and \textit{L. Tartar}, Boll. Unione Mat. Ital. (9) 4, No. 3, 409--444 (2011; Zbl 1233.35186)
Girault, Vivette; Tartar, Luc \(L^p\) and \(W^{1,p}\) regularity of the solution of a steady transport equation. (Régularité dans \(L^p\) et \(W^{1,p}\) de la solution d’une équation de transport stationnaire.) (English. Abridged French version) Zbl 1200.35207 C. R., Math., Acad. Sci. Paris 348, No. 15-16, 885-890 (2010). MSC: 35Q20 35D30 35B65 65N30 76D03 76M10 PDFBibTeX XMLCite \textit{V. Girault} and \textit{L. Tartar}, C. R., Math., Acad. Sci. Paris 348, No. 15--16, 885--890 (2010; Zbl 1200.35207) Full Text: DOI
Tartar, Luc The general theory of homogenization. A personalized introduction. (English) Zbl 1188.35004 Lecture Notes of the Unione Matematica Italiana 7. Berlin: Springer (ISBN 978-3-642-05194-4/pbk; 978-3-642-05195-1/ebook). xvii, 470 p. (2009). Reviewer: Alain Brillard (Riedisheim) MSC: 35-02 35B27 49-02 49J45 74Q20 PDFBibTeX XMLCite \textit{L. Tartar}, The general theory of homogenization. A personalized introduction. Berlin: Springer (2009; Zbl 1188.35004) Full Text: DOI
Francfort, Gilles A.; Murat, François; Tartar, Luc Homogenization of monotone operators in divergence form with \(x\)-dependent multivalued graphs. (English) Zbl 1180.35077 Ann. Mat. Pura Appl. (4) 188, No. 4, 631-652 (2009). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 47H05 35J25 PDFBibTeX XMLCite \textit{G. A. Francfort} et al., Ann. Mat. Pura Appl. (4) 188, No. 4, 631--652 (2009; Zbl 1180.35077) Full Text: DOI
Tartar, Luc From hyperbolic systems to kinetic theory. A personalized quest. (English) Zbl 1147.35004 Lecture Notes of the Unione Matematica Italiana 6. Berlin: Springer (ISBN 978-3-540-77561-4/pbk). xxvii, 279 p. (2008). Reviewer: Evgeniy Panov (Novgorod) MSC: 35-02 76-02 82-02 35L65 76P05 82C22 35B27 PDFBibTeX XMLCite \textit{L. Tartar}, From hyperbolic systems to kinetic theory. A personalized quest. Berlin: Springer (2008; Zbl 1147.35004)
Tartar, Luc What is homogenization? (Qu’est-ce que l’homogénéisation.) (French. English summary) Zbl 1145.35003 Port. Math. (N.S.) 64, No. 4, 389-444 (2007). Reviewer: Alain Brillard (Riedisheim) MSC: 35-02 35B27 35-03 01A60 PDFBibTeX XMLCite \textit{L. Tartar}, Port. Math. (N.S.) 64, No. 4, 389--444 (2007; Zbl 1145.35003) Full Text: DOI
Tartar, Luc An introduction to Sobolev spaces and interpolation spaces. (English) Zbl 1126.46001 Lecture Notes of the Unione Matematica Italiana 3. Berlin: Springer (ISBN 978-3-540-71482-8/pbk). xxvi, 218 p. (2007). Reviewer: W. D. Evans (Cardiff) MSC: 46-02 46B70 46E35 PDFBibTeX XMLCite \textit{L. Tartar}, An introduction to Sobolev spaces and interpolation spaces. Berlin: Springer (2007; Zbl 1126.46001) Full Text: DOI
Tartar, Luc An introduction to Navier-Stokes equation and oceanography. (English) Zbl 1194.86001 Lecture Notes of the Unione Matematica Italiana 1. Berlin: Springer (ISBN 3-540-35743-2/pbk). xxvii, 245 p. (2006). Reviewer: Tomislav Zlatanovski (Skopje) MSC: 86-02 86A05 76D05 76-02 35-02 PDFBibTeX XMLCite \textit{L. Tartar}, An introduction to Navier-Stokes equation and oceanography. Berlin: Springer (2006; Zbl 1194.86001)
Dacorogna, Bernard; Fusco, Nicola; Tartar, Luc On the solvability of the equation \( \text{div} \, u=f\) in \(L^1\) and in \(C^0\). (English) Zbl 1225.35050 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 14, No. 3, 239-245 (2003). MSC: 35D30 35D35 35F05 PDFBibTeX XMLCite \textit{B. Dacorogna} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 14, No. 3, 239--245 (2003; Zbl 1225.35050)
Tartar, Luc On homogenization and \(\Gamma\)-convergence. (English) Zbl 1053.35025 Carbone, Luciano (ed.) et al., Homogenization 2001. Proceedings of the first HMS2000 international school and conference on homogenization, Naples, Italy, June 18–22 and 23–27, 2001. Tokyo: Gakkotosho (ISBN 4-7625-0427-0/hbk). GAKUTO Int. Ser., Math. Sci. Appl. 18, 191-211 (2003). Reviewer: Luigi Ambrosio (Pisa) MSC: 35B27 74Q99 74N15 74N20 35-02 PDFBibTeX XMLCite \textit{L. Tartar}, GAKUTO Int. Ser., Math. Sci. Appl. 18, 191--211 (2003; Zbl 1053.35025)
Gallouët, T.; Lederer, J.; Lewandowski, R.; Murat, F.; Tartar, L. On a turbulent system with unbounded eddy viscosities. (English) Zbl 1013.35068 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 4, 1051-1068 (2003). Reviewer: Thomas Sonar (Braunschweig) MSC: 35Q35 76F02 PDFBibTeX XMLCite \textit{T. Gallouët} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 4, 1051--1068 (2003; Zbl 1013.35068) Full Text: DOI
Tartar, Luc Mathematical tools for studying oscillations and concentrations: From Young measures to \(H\)-measures and their variants. (English) Zbl 1015.35001 Antonić, Nenad (ed.) et al., Multiscale problems in science and technology. Challenges to mathematical analysis and perspectives. Proceedings of the conference on multiscale problems in science and technology, Dubrovnik, Croatia, September 3-9, 2000. Berlin: Springer. 1-84 (2002). Reviewer: Alexander A.Kovalevsky (Donetsk) MSC: 35-02 35B27 PDFBibTeX XMLCite \textit{L. Tartar}, in: Multiscale problems in science and technology. Challenges to mathematical analysis and perspectives. Proceedings of the conference on multiscale problems in science and technology, Dubrovnik, Croatia, September 3--9, 2000. Berlin: Springer. 1--84 (2002; Zbl 1015.35001)
Tartar, Luc Oscillations and concentration effects in partial differential equations: why waves may behave like particles. (English) Zbl 1036.35017 Ferragut, L. (ed.) et al., XVII CEDYA: Congress on differential equations and applications/VII CMA: Congress on applied mathematics. Invited papers, monographic sessions and abstracts from the congresses, Salamanca, Spain, September 24–28, 2001. Salamanca: Departamento de Matemática Aplicada, Universidad de Salamanca (ISBN 84-699-6144-6/pbk). 179-219 (2001). Reviewer: Marco Codegone (Torino) MSC: 35B05 35B27 PDFBibTeX XMLCite \textit{L. Tartar}, in: XVII CEDYA: Congreso de ecuaciones diferenciales y aplicaciones/VII CMA: Congreso de matemática aplicada. Salamanca: Departamento de Matemática Aplicada, Universidad de Salamanca; Madrid: Sociedad Española de Matemática Aplicada. 179--219 (2001; Zbl 1036.35017)
Tartar, Luc An introduction to the homogenization method in optimal design. (English) Zbl 1040.49022 Cellina, Arrigo (ed.) et al., Optimal shape design. Lectures given at the joint CIM/CIME summer school, Tróia, Portugal, June 1–6, 1998. Berlin: Springer (ISBN 3-540-67971-5/pbk). Lect. Notes Math. 1740, 47-156 (2000). Reviewer: Uldis Raitums (Riga) MSC: 49J45 49J20 49K20 35B27 PDFBibTeX XMLCite \textit{L. Tartar}, Lect. Notes Math. 1740, 47--156 (2000; Zbl 1040.49022)
Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc On a volume-constrained variational problem. (English) Zbl 0945.49005 Arch. Ration. Mech. Anal. 149, No. 1, 23-47 (1999). Reviewer: R.De Arcangelis (Napoli) MSC: 49J45 49J30 49Q20 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Arch. Ration. Mech. Anal. 149, No. 1, 23--47 (1999; Zbl 0945.49005) Full Text: DOI
Tartar, Luc Homogenization and H-measures. (Homogénéisation et H-mesures.) (French) Zbl 0935.35009 ESAIM, Proc. 6, 111-131 (1999). Reviewer: M.Codegone (Torino) MSC: 35B27 35-03 01A65 PDFBibTeX XMLCite \textit{L. Tartar}, ESAIM, Proc. 6, 111--131 (1999; Zbl 0935.35009) Full Text: DOI
Tartar, Luc Imbedding theorems of Sobolev spaces into Lorentz spaces. (English) Zbl 0929.46028 Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 1, No. 3, 479-500 (1998). Reviewer: S.Wedrychowicz (Rzeszów) MSC: 46E35 PDFBibTeX XMLCite \textit{L. Tartar}, Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 1, No. 3, 479--500 (1998; Zbl 0929.46028) Full Text: EuDML
Tartar, Luc Homogenization and hyperbolicity. (English) Zbl 1032.35032 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 25, No. 3-4, 785-805 (1997). Reviewer: Huai-Yu Jian (Beijing) MSC: 35B27 PDFBibTeX XMLCite \textit{L. Tartar}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 25, No. 3--4, 785--805 (1997; Zbl 1032.35032) Full Text: Numdam EuDML
Murat, François; Tartar, Luc Calculus of variations and homogenization. (English) Zbl 0939.35019 Cherkaev, Andrej (ed.) et al., Topics in the mathematical modelling of composite materials. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 31, 139-173 (1997). Reviewer: L.A.Fernandez (Santander) MSC: 35B27 49J45 74Q05 49M20 PDFBibTeX XMLCite \textit{F. Murat} and \textit{L. Tartar}, Prog. Nonlinear Differ. Equ. Appl. 31, 139--173 (1997; Zbl 0939.35019)
Murat, François; Tartar, Luc \(H\)-convergence. (English) Zbl 0920.35019 Cherkaev, Andrej (ed.) et al., Topics in the mathematical modelling of composite materials. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 31, 21-43 (1997). Reviewer: Aleksander Pankov (Vinnitsa) MSC: 35B27 35-01 35J15 PDFBibTeX XMLCite \textit{F. Murat} and \textit{L. Tartar}, Prog. Nonlinear Differ. Equ. Appl. 31, 21--43 (1997; Zbl 0920.35019)
Tartar, Luc Estimations of homogenized coefficients. (English) Zbl 0920.35018 Cherkaev, Andrej (ed.) et al., Topics in the mathematical modelling of composite materials. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 31, 9-20 (1997). Reviewer: Aleksander Pankov (Vinnitsa) MSC: 35B27 35J15 PDFBibTeX XMLCite \textit{L. Tartar}, Prog. Nonlinear Differ. Equ. Appl. 31, 9--20 (1997; Zbl 0920.35018)
Murat, François; Tartar, Luc On the control of coefficients in partial differential equations. (English) Zbl 0913.35020 Cherkaev, Andrej (ed.) et al., Topics in the mathematical modelling of composite materials. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 31, 1-8 (1997). Reviewer: Jiancheng Zou (Beijing) MSC: 35B37 35J25 35B30 35R30 PDFBibTeX XMLCite \textit{F. Murat} and \textit{L. Tartar}, Prog. Nonlinear Differ. Equ. Appl. 31, 1--8 (1997; Zbl 0913.35020)
Tartar, Luc; Yakir, Arieh Similarity classes of affine maps. (English) Zbl 0881.15012 Linear Algebra Appl. 261, 155-165 (1997). Reviewer: R.von Randow (Bonn) MSC: 15A21 PDFBibTeX XMLCite \textit{L. Tartar} and \textit{A. Yakir}, Linear Algebra Appl. 261, 155--165 (1997; Zbl 0881.15012) Full Text: DOI
Francfort, Gilles; Murat, François; Tartar, Luc Fourth-order moments of nonnegative measures on \(S^ 2\) and applications. (English) Zbl 0869.73006 Arch. Ration. Mech. Anal. 131, No. 4, 305-333 (1995). MSC: 74E05 74B99 35B27 35Q72 PDFBibTeX XMLCite \textit{G. Francfort} et al., Arch. Ration. Mech. Anal. 131, No. 4, 305--333 (1995; Zbl 0869.73006) Full Text: DOI
Tartar, Luc Beyond Young measures. (English) Zbl 0835.73062 Meccanica 30, No. 5, 505-526 (1995). MSC: 74A60 74M25 82B26 28A75 PDFBibTeX XMLCite \textit{L. Tartar}, Meccanica 30, No. 5, 505--526 (1995; Zbl 0835.73062) Full Text: DOI
Artola, M.; Tartar, L. A uniqueness result for a class of quasilinear parabolic problems. (Un résultat d’unicité pour une classe de problèmes paraboliques quasi-linéaires.) (French) Zbl 0918.35068 Ric. Mat. 44, No. 2, 409-420 (1995). MSC: 35K60 35K55 35K57 PDFBibTeX XMLCite \textit{M. Artola} and \textit{L. Tartar}, Ric. Mat. 44, No. 2, 409--420 (1995; Zbl 0918.35068)
Tartar, L. Remarks on the homogenization method in optimal design methods. (English) Zbl 0894.49002 Cioranescu, Doina (ed.) et al., Homogenization and applications to material sciences. Proceedings of the international conference, Nice, France, June 6–10, 1995. Tokyo: Gakkotosho. GAKUTO Int. Ser., Math. Sci. Appl. 9, 393-412 (1995). Reviewer: U.Raitums (Riga) MSC: 49J20 35B27 49K20 PDFBibTeX XMLCite \textit{L. Tartar}, GAKUTO Int. Ser., Math. Sci. Appl. 9, 393--412 (1995; Zbl 0894.49002)
Tartar, L. \(H\)-measures and applications. (English) Zbl 0924.35014 Brezis, H. (ed.) et al., Nonlinear partial differential equations and their applications. Collège de France Seminar, volume XI. Lectures presented at the weekly seminar on applied mathematics, Paris, France, 1989-1991. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 299, 282-290 (1994). Reviewer: L.Ambrosio (Pisa) MSC: 35B27 35S30 42B10 PDFBibTeX XMLCite \textit{L. Tartar}, Pitman Res. Notes Math. Ser. 299, 282--290 (1994; Zbl 0924.35014)
Tartar, Luc Remarks on optimal design problems. (English) Zbl 0884.49015 Bouchitté, Guy (ed.) et al., Calculus of variations, homogenization and continuum mechanics. Proceedings of a workshop, CIRM-Luminy, Marseille, France, June 21–25, 1993. Singapore: World Scientific. Ser. Adv. Math. Appl. Sci. 18, 279-296 (1994). MSC: 49K20 49J20 35B37 PDFBibTeX XMLCite \textit{L. Tartar}, Ser. Adv. Math. Appl. Sci. 18, 279--296 (1994; Zbl 0884.49015)
Tartar, Luc Some remarks on separately convex functions. (English) Zbl 0823.26008 Kinderlehrer, David (ed.) et al., Microstructure and phase transition. Based on the proceedings of a workshop which was an integral part of the 1990-91 IMA program on phase transitions and free boundaries. New York, NY: Springer-Verlag. IMA Vol. Math. Appl. 54, 191-204 (1993). Reviewer: W.W.Breckner (Cluj-Napoca) MSC: 26B25 PDFBibTeX XMLCite \textit{L. Tartar}, IMA Vol. Math. Appl. 54, 191--204 (1993; Zbl 0823.26008)
Tartar, Luc Remarks on some interpolation spaces. (English) Zbl 0803.46039 Lions, Jacques-Louis (ed.) et al., Boundary value problems for partial differential equations and applications. Dedicated to Enrico Magenes on the occasion of his 70th birthday. Paris: Masson. Res. Notes Appl. Math. 29, 229-252 (1993). Reviewer: A.Pryde (Clayton) MSC: 46E35 46M35 35G15 49J40 PDFBibTeX XMLCite \textit{L. Tartar}, Res. Notes Appl. Math. 29, 229--252 (1993; Zbl 0803.46039)
Tartar, Luc On mathematical tools for studying partial differential equations of continuum physics: \(H\)-measures and Young measures. (English) Zbl 0897.35010 Buttazzo, Giuseppe (ed.) et al., Developments in partial differential equations and applications to mathematical physics. Proceedings of an international meeting, Ferrara, Italy, October 14-18, 1991. New York, NY: Plenum Press. 201-217 (1992). Reviewer: M.Codegone (Torino) MSC: 35B27 81T10 PDFBibTeX XMLCite \textit{L. Tartar}, in: Developments in partial differential equations and applications to mathematical physics. Proceedings of an international meeting, Ferrara, Italy, October 14-18, 1991. New York, NY: Plenum Press. 201--217 (1992; Zbl 0897.35010)
Tartar, Luc \(H\)-measures and applications. (English) Zbl 0787.35013 Proc. Int. Congr. Math., Kyoto/Japan 1990, Vol. II, 1215-1223 (1991). Reviewer: A.L.Edelson (Davis) MSC: 35B05 35B27 PDFBibTeX XMLCite \textit{L. Tartar}, in: Proceedings of the international congress of mathematicians (ICM), August 21--29, 1990, Kyoto, Japan. Volume II. Tokyo etc.: Springer-Verlag. 1215--1223 (1991; Zbl 0787.35013)
Francfort, Gilles; Tartar, Luc Comportement effectif d’un mélange de matériaux élastiques isotropes ayant le même module de cisaillement. (Effective behaviour of a mixture of isotropic elastic materials with identical shear moduli). (French) Zbl 0713.73010 C. R. Acad. Sci., Paris, Sér. I 312, No. 3, 301-307 (1991). MSC: 74E05 74G30 74H25 74S30 74P10 35A15 35B27 PDFBibTeX XMLCite \textit{G. Francfort} and \textit{L. Tartar}, C. R. Acad. Sci., Paris, Sér. I 312, No. 3, 301--307 (1991; Zbl 0713.73010)
Tartar, L. Propagation of oscillations and concentration effects in partial differential equations. (English) Zbl 0798.35017 Ordinary and partial differential equations. Vol. III, Proc. 11th Dundee Conf., Dundee/UK 1990, Pitman Res. Notes Math. Ser. 254, 208-219 (1991). Reviewer: A.L.Edelson (Davis) MSC: 35B27 35B05 PDFBibTeX XMLCite \textit{L. Tartar}, in: Asymptotic integration and a borderline case in the theory of elliptic equations involving critical exponents. . 208--219 (1991; Zbl 0798.35017)
Tartar, Luc \(H\)-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations. (English) Zbl 0774.35008 Proc. R. Soc. Edinb., Sect. A 115, No. 3-4, 193-230 (1990). Reviewer: I.Aganović (Zagreb) MSC: 35B27 35Q30 35L99 PDFBibTeX XMLCite \textit{L. Tartar}, Proc. R. Soc. Edinb., Sect. A, Math. 115, No. 3--4, 193--230 (1990; Zbl 0774.35008) Full Text: DOI
Tartar, Luc Memory effects and homogenization. (English) Zbl 0725.45012 Arch. Ration. Mech. Anal. 111, No. 2, 121-133 (1990). Reviewer: G.Di Blasio (Roma) MSC: 45K05 PDFBibTeX XMLCite \textit{L. Tartar}, Arch. Ration. Mech. Anal. 111, No. 2, 121--133 (1990; Zbl 0725.45012) Full Text: DOI
Tartar, Luc How to describe oscillations of solutions of nonlinear partial differential equations. (English) Zbl 0694.35035 Applied mathematics and computing, Trans. 6th Army Conf., Boulder/Colo. 1988, ARO Rep. 89-1, 1133-1141 (1989). MSC: 35G20 35B30 PDFBibTeX XML
Fonseca, I.; Tartar, L. The displacement problem for elastic crystals. (English) Zbl 0691.73016 Proc. R. Soc. Edinb., Sect. A 113, No. 1-2, 159-180 (1989). Reviewer: H.Demiray MSC: 74S30 74B99 74H99 82D25 49K99 PDFBibTeX XMLCite \textit{I. Fonseca} and \textit{L. Tartar}, Proc. R. Soc. Edinb., Sect. A, Math. 113, No. 1--2, 159--180 (1989; Zbl 0691.73016) Full Text: DOI
Tartar, Luc Nonlocal effects induced by homogenization. (English) Zbl 0682.35028 Partial differential equations and the calculus of variations. Essays in Honor of Ennio de Giorgi, 925-938 (1989). Reviewer: V.Barbu MSC: 35J15 PDFBibTeX XML
Fonseca, Irene; Tartar, Luc The gradient theory of phase transitions for systems with two potential wells. (English) Zbl 0676.49005 Proc. R. Soc. Edinb., Sect. A 111, No. 1-2, 89-102 (1989). MSC: 49J99 49J52 PDFBibTeX XMLCite \textit{I. Fonseca} and \textit{L. Tartar}, Proc. R. Soc. Edinb., Sect. A, Math. 111, No. 1--2, 89--102 (1989; Zbl 0676.49005) Full Text: DOI
Tartar, Luc \(H\)-measures and small amplitude homogenization. (English) Zbl 0790.73009 Random media and composites, Proc. SIAM Workshop, Leesburg/VA (USA) 1988, 89-99 (1989). Reviewer: Th.Lévy (Paris) MSC: 74E05 74B99 PDFBibTeX XMLCite \textit{L. Tartar}, in: Propagation of singularities and some inverse problems in wave propagation. . 89--99 (1989; Zbl 0790.73009)
Tartar, Luc C. Discontinuities and oscillations. (English) Zbl 0685.35007 Directions in partial differential equations, Proc. Symp., Madison/Wis. 1985, Publ. Math. Res. Cent. Univ. Wis. Madison 54, 211-233 (1987). Reviewer: S.Wedrychowicz MSC: 35B05 35B65 35G20 PDFBibTeX XML
Tartar, L. The appearance of oscillations in optimization problems. (English) Zbl 0668.73061 Non-classical continuum mechanics, Proc. Symp., Durham/Engl. 1986, Lond. Math. Soc. Lect. Note Ser. 122, 129-150 (1987). Reviewer: St.Jendo MSC: 74P99 PDFBibTeX XML
Tartar, L. Sur un lemme d’équivalence utilisé en analyse numérique. (On an equivalence lemma used in numerical analysis). (French) Zbl 0651.65071 Calcolo 24, No. 2, 125-140 (1987). Reviewer: M.Sibony MSC: 65N15 65D32 65D05 41A55 41A05 PDFBibTeX XMLCite \textit{L. Tartar}, Calcolo 24, No. 2, 125--140 (1987; Zbl 0651.65071) Full Text: DOI
Tartar, Luc Oscillations and asymptotic behaviour for two semilinear hyperbolic systems. (English) Zbl 0647.35050 Dynamics of infinite dimensional systems, Proc. NATO Adv. Study Inst., Lisbon/Port. 1986, NATO ASI Ser., Ser. F 37, 341-356 (1987). Reviewer: A.Doktor MSC: 35L60 35L45 35B40 35B05 PDFBibTeX XML
Tartar, Luc Remarks on homogenization. (English) Zbl 0652.35012 Homogenization and effective moduli of materials and media, Proc. Workshop, Minneapolis/Minn. 1984/85, IMA Vol. Math. Appl. 1, 228-246 (1986). Reviewer: J.J.Telega MSC: 35B40 35B30 35C20 PDFBibTeX XML
Tartar, Luc Oscillations in nonlinar partial differential equations compensated compactness and homogenization. (English) Zbl 0602.35009 Nonlinear systems of partial differential equations in applied mathematics, Proc. SIAM-AMS Summer Semin., Santa Fe/N.M. 1984, Lect. Appl. Math. 23, Pt. 1, 243-266 (1986). Reviewer: T.A.Dzhangveladze MSC: 35B05 35G20 35B40 PDFBibTeX XML
Tartar, Luc Remarks on oscillations and Stokes’ equation. (English) Zbl 0611.76042 Macroscopic modelling of turbulent flows, Proc. Workshop, Sophia- Antipolis/France 1984, Lect. Notes Phys. 230, 24-31 (1985). MSC: 76D07 35Q30 PDFBibTeX XML
McLaughlin, D.; Papanicolaou, G.; Tartar, L. Weak limits of semilinear hyperbolic systems with oscillating data. (English) Zbl 0588.76137 Macroscopic modelling of turbulent flows, Proc. Workshop, Sophia- Antipolis/France 1984, Lect. Notes Phys. 230, 277-289 (1985). MSC: 76P05 35L60 PDFBibTeX XML
Tartar, L. Estimations fines des coefficients homogénéisés. (Fine estimations of homogenized coefficients). (French) Zbl 0586.35004 Ennio de Giorgi Colloq., H. Poincaré Inst., Paris 1983, Res. Notes Math. 125, 168-187 (1985). Reviewer: M.Codegone MSC: 35B40 35B45 35F15 35J15 35B65 PDFBibTeX XML
Murat, F.; Tartar, L. Optimality conditions and homogenization. (English) Zbl 0569.49015 Nonlinear variational problems, Int. Workshop, Elba/Italy 1983, Res. Notes Math. 127, 1-8 (1985). Reviewer: M.Codegone MSC: 49K20 35J25 49M20 49J45 PDFBibTeX XML
Tartar, L. Étude des oscillations dans les équations aux dérivées partielles non linéaires. (Study of oscillations in nonlinear partial differential equations). (French) Zbl 0595.35012 Trends and applications of pure mathematics to mechanics, Symp., Palaiseau/France 1983, Lect. Notes Phys. 195, 384-412 (1984). Reviewer: A.L.Edelson MSC: 35B05 35B40 35L60 PDFBibTeX XML
Tartar, L. Compacité par compensation: résultats et perspectives. (French) Zbl 0544.47042 Nonlinear partial differential equations and their applications, Coll. France Semin., Vol. 4, Res. Notes Math. 84, 350-369 (1983). Reviewer: J.Mawhin MSC: 47F05 47J05 35L25 PDFBibTeX XML
Tartar, Luc The compensated compactness method applied to systems of conservation laws. (English) Zbl 0536.35003 Systems of nonlinear partial differential equations, Proc. NATO Adv. Study Inst., Oxford/U.K. 1982, NATO ASI Ser. Ser., C 111, 263-285 (1983). Reviewer: N.Jacob MSC: 35A35 35L65 35G20 35F20 PDFBibTeX XML
Tartar, L. Systemes hyperboliques non linéaires. (French) Zbl 0488.35055 Sémin. Goulaouic-Meyer-Schwartz 1981-1982, Équat. dériv. part., Exposé No. 1, 12 p. (1982). MSC: 35L60 35L45 35A05 PDFBibTeX XML Full Text: Numdam EuDML
Tartar, Luc C. Some existence theorems for semilinear hyperbolic systems in one space variable. (English) Zbl 0458.35064 Commun. Pure Appl. Math. (to appear). MSC: 35L70 35A05 35B35 35P25 PDFBibTeX XML
Tartar, L. Solutions oscillantes des équations de Carleman. (French) Zbl 0481.35010 Sémin. Goulaouic-Meyer-Schwartz 1980-1981, Équat. dériv. part., Exposé No. 12, 15 p. (1981). MSC: 35B05 35L45 35B40 PDFBibTeX XML Full Text: Numdam EuDML
Crandall, Michael G.; Tartar, Luc Some relations between nonexpansive and order preserving mappings. (English) Zbl 0449.47059 Proc. Am. Math. Soc. 78, 385-390 (1980). MSC: 47H07 35F25 65M12 PDFBibTeX XMLCite \textit{M. G. Crandall} and \textit{L. Tartar}, Proc. Am. Math. Soc. 78, 385--390 (1980; Zbl 0449.47059) Full Text: DOI
Foiaş, Ciprian; Tartar, Luc Opérateurs de Toeplitz généralises et homogeneisation. (French) Zbl 0441.47040 C. R. Acad. Sci., Paris, Sér. A 291, 15-18 (1980). MSC: 47B35 46E39 PDFBibTeX XMLCite \textit{C. Foiaş} and \textit{L. Tartar}, C. R. Acad. Sci., Paris, Sér. A 291, 15--18 (1980; Zbl 0441.47040)
Tartar, L. Estimation de coefficients homogeneises. (French) Zbl 0443.35061 Computing methods in applied sciences and engineering, I, 3rd int. Symp., Paris 1977, Lect. Notes Math. 704, 364-373 (1979). MSC: 35Q99 35J25 65N99 35B20 PDFBibTeX XML
Tartar, L. Compensated compactness and applications to partial differential equations. (English) Zbl 0437.35004 Nonlinear analysis and mechanics: Heriot-Watt Symp., Vol. 4, Edinburgh 1979, Res. Notes Math. 39, 136-212 (1979). MSC: 35A22 35R20 35Q99 PDFBibTeX XML
Crandall, M. G.; Pazy, A.; Tartar, L. Remarks on generators of analytic semigroups. (English) Zbl 0436.47028 Isr. J. Math. 32, 363-374 (1979). MSC: 47D03 47H20 35J15 35G10 35K25 PDFBibTeX XMLCite \textit{M. G. Crandall} et al., Isr. J. Math. 32, 363--374 (1979; Zbl 0436.47028) Full Text: DOI
Tartar, L. Homogeneisation et compacite par compensation. (French) Zbl 0406.35055 Sémin. Goulaouic-Schwartz 1978-1979, Équat. dériv. part., Exposé No. 9, 12 p. (1979). MSC: 35Q99 78A30 35B45 PDFBibTeX XML Full Text: Numdam EuDML
Tartar, L. Une nouvelle méthode de résolution d’équations aux dérivées partielles non linéaires. (French) Zbl 0414.35068 Journ. d’Anal. non lin., Proc., Besancon 1977, Lect. Notes Math. 665, 228-241 (1978). MSC: 35Q99 35G20 47J25 PDFBibTeX XML
Tartar, L. Variational methods and monotonicity. (English) Zbl 0408.47049 Publ. Math. Orsay No. 78-13, Part II, Rep. No. 1571, 73 p. (1978). Reviewer: Marco Biroli (Milano) MSC: 35A15 45G10 35J35 35K55 47J25 47H05 49J40 PDFBibTeX XML Full Text: Link
Tartar, L. Linear control theory and Riccati equations. (English) Zbl 0405.49009 Publ. Math. Orsay No. 78-13, Part III, Rep. No. 1555, 49 p. (1978). Reviewer: N. A. Warsi (Atlanta) MSC: 49J27 93C05 PDFBibTeX XML Full Text: Link
Tartar, L. Quelques remarques sur les systèmes semi linéaires. (French) Zbl 0405.35013 Etude numer. grands Syst., Symp. Novosibirsk 1976, Meth. math. l’Inf., Vol. 7, 198-212 (1978). MSC: 35B50 35R20 35A15 35J65 35L60 PDFBibTeX XML
Tartar, Luc Equations with order preserving properties. (English) Zbl 0404.35011 Publ. Math. Orsay No. 78-13, Part IV, Rep. No. 1580, 49 p. (1978). Reviewer: Pierre Jeanquartier MSC: 35B30 35J25 35B05 35A15 35J20 PDFBibTeX XML Full Text: Link
Tartar, L. Nonlinear partial differential equations using compactness method. (English) Zbl 0401.35014 Publ. Math. Orsay No. 78-13, Part I, Rep. No. 1584, 109 p. (1978). Reviewer: Marie-Thérèse Lacroix (Saone) MSC: 35G20 35R20 35B45 35A15 35Q30 35L70 PDFBibTeX XML
Tartar, L. Non linear constitutive relations and homogenization. (English) Zbl 0399.73006 Contemporary developments in continuum mechanics and partial differential equations, Proc. int. Symp. Rio de Janeiro 1977, North-Holland Math. Stud. 30, 472-484 (1978). MSC: 74A20 82B05 PDFBibTeX XML
Tartar, Luc Topics in nonlinear analysis. (English) Zbl 0395.00008 Publications mathématiques d’Orsay. No. 78–13. Orsay: Université de Paris-Sud, Département de Mathématique. ii, 271 p. (pagination non continu) (1978). MSC: 00B15 35-06 93-06 PDFBibTeX XML
Tartar, L. Equations hyperboliques non linéaires. (French) Zbl 0385.35044 Sémin. Goulaouic-Schwartz 1977-1978, Équat. dériv. part. Anal. fonct., Exposé No. 18, 18 p. (1978). MSC: 35L60 35B45 35B20 PDFBibTeX XML Full Text: Numdam EuDML
Tartar, Luc Homogeneisation en hydrodynamique. (French) Zbl 0387.76045 Singular Perturb. Bound. Layer Theory, Proc. Conf. Lyon 1976, Lect. Notes Math. 594, 474-481 (1977). MSC: 76M45 76D10 76Fxx PDFBibTeX XML
Crandall, M. G.; Rabinowitz, P. H.; Tartar, L. On a Dirichlet problem with a singular nonlinearity. (English) Zbl 0362.35031 Commun. Partial Differ. Equations 2, 193-222 (1977). MSC: 35J60 35B45 35B20 PDFBibTeX XMLCite \textit{M. G. Crandall} et al., Commun. Partial Differ. Equations 2, 193--222 (1977; Zbl 0362.35031) Full Text: DOI
Tartar, Luc Evolution equations in infinite dimensions. (English) Zbl 0341.34052 Dyn. Syst., Vol. 1, int. Symp. Providence 1974, 167-177 (1976). MSC: 34G99 34-02 PDFBibTeX XML
Tartar, L. Existence globale pour un système hyperbolique semi-linéaire de la théorie cinetique des gaz. (French) Zbl 0336.35069 Sémin. Goulaouic-Schwartz 1975-1976, Équat. dériv. part. Anal. fonct., Exposé No.I, 10 p. (1976). MSC: 35L60 35A05 PDFBibTeX XML Full Text: Numdam EuDML
Tartar, Luc Problèmes de contrôle des coefficients dans les équations aux dérivées partielles. (French) Zbl 0318.49010 Control Theory, numer. Meth., Computer Syst. Mod.; internat. Symp. Rocquencourt 1974, Lecture Notes Econ. math. Syst. 107, 420-426 (1975). MSC: 49K20 93C20 47F05 PDFBibTeX XML
Tartar, Luc Inéquations quasi variationnelles abstraites. (French) Zbl 0334.49003 C. R. Acad. Sci., Paris, Sér. A 278, 1193-1196 (1974). MSC: 49J27 46E20 PDFBibTeX XMLCite \textit{L. Tartar}, C. R. Acad. Sci., Paris, Sér. A 278, 1193--1196 (1974; Zbl 0334.49003)
Tartar, Luc Sur l’étude directe d’équations non linéaires intervenant en théorie du contrôle optimal. (French) Zbl 0293.49004 J. Funct. Anal. 17, 1-47 (1974). MSC: 49J99 93C30 93C25 34K05 46E15 47A50 PDFBibTeX XMLCite \textit{L. Tartar}, J. Funct. Anal. 17, 1--47 (1974; Zbl 0293.49004) Full Text: DOI
Tartar, L. Equation de Riccati. (French) Zbl 0289.49013 Sémin. Goulaouic-Schwartz 1973-1974, Équat. dériv. part. Analyse fonct., Exposé X, 11 p. (1974). MSC: 49K27 93E20 PDFBibTeX XML Full Text: Numdam EuDML
Tartar, Luc Sur l’étude directe d’équations non linéaires intervenant en théorie du contrôle optimal. (French) Zbl 0283.49009 C. R. Acad. Sci., Paris, Sér. A 276, 1493-1496 (1973). MSC: 49K27 35K55 49K20 34G99 PDFBibTeX XMLCite \textit{L. Tartar}, C. R. Acad. Sci., Paris, Sér. A 276, 1493--1496 (1973; Zbl 0283.49009)
Bardos, C.; Tartar, L. Sur l’unicité retrograde des équations paraboliques et quelques questions voisines. (French) Zbl 0258.35039 Arch. Ration. Mech. Anal. 50, 10-25 (1973). MSC: 35K25 35R20 35D05 47F05 PDFBibTeX XMLCite \textit{C. Bardos} and \textit{L. Tartar}, Arch. Ration. Mech. Anal. 50, 10--25 (1973; Zbl 0258.35039) Full Text: DOI
Tartar, Luc Interpolation non linéaire. (French) Zbl 0244.46047 Bull. Soc. Math. Fr., Suppl., Mém. 31-32, 375-380 (1972). MSC: 46E35 54E35 PDFBibTeX XMLCite \textit{L. Tartar}, Bull. Soc. Math. Fr., Suppl., Mém. 31--32, 375--380 (1972; Zbl 0244.46047) Full Text: Numdam EuDML
Tartar, L. Interpolation non linéaire et régularité. (French) Zbl 0241.46035 J. Funct. Anal. 9, 469-489 (1972). MSC: 46E35 35-00 PDFBibTeX XMLCite \textit{L. Tartar}, J. Funct. Anal. 9, 469--489 (1972; Zbl 0241.46035) Full Text: DOI
Tartar, Luc Une nouvelle caractérisation des M matrices. (French) Zbl 0268.15002 Rev. Franc. Inform. Rech. Oper. 5, No.R-3, 127-128 (1971). MSC: 15A09 PDFBibTeX XMLCite \textit{L. Tartar}, Rev. Franç. Inform. Rech. Opér. 5, No. R-3, 127--128 (1971; Zbl 0268.15002) Full Text: EuDML
Bardos, Claude; Tartar, Luc Sur l’unicité rétrograde des équations d’évolution. (French) Zbl 0232.47018 C. R. Acad. Sci., Paris, Sér. A 273, 1239-1241 (1971). MSC: 47A50 46E40 46A20 PDFBibTeX XMLCite \textit{C. Bardos} and \textit{L. Tartar}, C. R. Acad. Sci., Paris, Sér. A 273, 1239--1241 (1971; Zbl 0232.47018)
Tartar, L. Théorème d’interpolation non linéaire et applications. (French) Zbl 0201.45201 C. R. Acad. Sci., Paris, Sér. A 270, 1729-1731 (1970). PDFBibTeX XMLCite \textit{L. Tartar}, C. R. Acad. Sci., Paris, Sér. A 270, 1729--1731 (1970; Zbl 0201.45201)
Tartar, L. Théoreme de traces non linéaires et applications. (French) Zbl 0199.43504 C. R. Acad. Sci., Paris, Sér. A 271, 789-791 (1970). PDFBibTeX XMLCite \textit{L. Tartar}, C. R. Acad. Sci., Paris, Sér. A 271, 789--791 (1970; Zbl 0199.43504)