Briane, Marc Homogenization of linear transport equations. A new approach. (Homogénéisation d’équations de transport linéaires. Une nouvelle approche.) (English. French summary) Zbl 1437.35033 J. Éc. Polytech., Math. 7, 479-495 (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35F05 37C10 PDFBibTeX XMLCite \textit{M. Briane}, J. Éc. Polytech., Math. 7, 479--495 (2020; Zbl 1437.35033) Full Text: DOI arXiv
Briane, Marc; Pallares-Martín, Antonio Jesús Homogenization of weakly coercive integral functionals in three-dimensional linear elasticity. (English. French summary) Zbl 1432.35015 J. Éc. Polytech., Math. 4, 483-514 (2017). MSC: 35B27 74B05 74Q15 PDFBibTeX XMLCite \textit{M. Briane} and \textit{A. J. Pallares-Martín}, J. Éc. Polytech., Math. 4, 483--514 (2017; Zbl 1432.35015) Full Text: DOI arXiv
Briane, M.; Casado-Díaz, J.; Luna-Laynez, M.; Pallares-Martín, A. \(\Gamma\)-convergence of equi-coercive nonlinear energies defined on vector-valued functions, with non-uniformly bounded coefficients. (English) Zbl 1356.35028 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 151, 187-207 (2017). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 74B20 35J20 35J47 35J60 PDFBibTeX XMLCite \textit{M. Briane} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 151, 187--207 (2017; Zbl 1356.35028) Full Text: DOI arXiv
Allaire, Gregoire; Briane, M.; Vanninathan, M. A comparison between two-scale asymptotic expansions and Bloch wave expansions for the homogenization of periodic structures. (English) Zbl 1364.35029 S\(\vec{\text{e}}\)MA J. 73, No. 3, 237-259 (2016). MSC: 35B27 49K20 PDFBibTeX XMLCite \textit{G. Allaire} et al., S\(\vec{\text{e}}\)MA J. 73, No. 3, 237--259 (2016; Zbl 1364.35029) Full Text: DOI HAL
Briane, M.; Casado Díaz, J. A new div-curl result. applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian. (English) Zbl 1336.35045 J. Differ. Equations 260, No. 7, 5678-5725 (2016). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 74Q15 35J47 PDFBibTeX XMLCite \textit{M. Briane} and \textit{J. Casado Díaz}, J. Differ. Equations 260, No. 7, 5678--5725 (2016; Zbl 1336.35045) Full Text: DOI arXiv
Briane, Marc; Casado-Díaz, Juan A class of second-order linear elliptic equations with drift: renormalized solutions, uniqueness and homogenization. (English) Zbl 1347.35025 Potential Anal. 43, No. 3, 399-413 (2015). Reviewer: Marco Codegone (Torino) MSC: 35B27 35B51 35J15 35A02 PDFBibTeX XMLCite \textit{M. Briane} and \textit{J. Casado-Díaz}, Potential Anal. 43, No. 3, 399--413 (2015; Zbl 1347.35025) Full Text: DOI
Briane, M.; Milton, G. W. Isotropic realizability of current fields in \(\mathbb{R}^3\). (English) Zbl 1317.35003 SIAM J. Appl. Dyn. Syst. 14, No. 2, 1165-1188 (2015). MSC: 35B27 78A30 37C10 PDFBibTeX XMLCite \textit{M. Briane} and \textit{G. W. Milton}, SIAM J. Appl. Dyn. Syst. 14, No. 2, 1165--1188 (2015; Zbl 1317.35003) Full Text: DOI arXiv
Briane, Marc; Francfort, Gilles A. Loss of ellipticity through homogenization in linear elasticity. (English) Zbl 1316.35016 Math. Models Methods Appl. Sci. 25, No. 5, 905-928 (2015). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 74B05 74Q15 35Q74 PDFBibTeX XMLCite \textit{M. Briane} and \textit{G. A. Francfort}, Math. Models Methods Appl. Sci. 25, No. 5, 905--928 (2015; Zbl 1316.35016) Full Text: DOI
Briane, Marc; Casado-Díaz, Juan Homogenization of systems with equi-integrable coefficients. (English) Zbl 1326.35020 ESAIM, Control Optim. Calc. Var. 20, No. 4, 1214-1223 (2014). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 49K20 PDFBibTeX XMLCite \textit{M. Briane} and \textit{J. Casado-Díaz}, ESAIM, Control Optim. Calc. Var. 20, No. 4, 1214--1223 (2014; Zbl 1326.35020) Full Text: DOI
Briane, Marc; Milton, Graeme W.; Treibergs, Andrejs Which electric fields are realizable in conducting materials? (English) Zbl 1315.35021 ESAIM, Math. Model. Numer. Anal. 48, No. 2, 307-323 (2014). Reviewer: Dan Polisevski (Bucureşti) MSC: 35B27 78A30 37C10 PDFBibTeX XMLCite \textit{M. Briane} et al., ESAIM, Math. Model. Numer. Anal. 48, No. 2, 307--323 (2014; Zbl 1315.35021) Full Text: DOI arXiv
Briane, Marc; Casado-Díaz, Juan Homogenization of convex functionals which are weakly coercive and not equi-bounded from above. (English) Zbl 1288.35039 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 4, 547-571 (2013). MSC: 35B27 35B50 35J60 PDFBibTeX XMLCite \textit{M. Briane} and \textit{J. Casado-Díaz}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 4, 547--571 (2013; Zbl 1288.35039) Full Text: DOI
Briane, Marc Homogenization with an oscillating drift: from \(L^2\)-bounded to unbounded drifts, 2D compactness results, and 3D nonlocal effects. (English) Zbl 1282.35034 Ann. Mat. Pura Appl. (4) 192, No. 5, 853-878 (2013). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 PDFBibTeX XMLCite \textit{M. Briane}, Ann. Mat. Pura Appl. (4) 192, No. 5, 853--878 (2013; Zbl 1282.35034) Full Text: DOI
Briane, Marc; Pater, Laurent Homogenization of high-contrast two-phase conductivities perturbed by a magnetic field. Comparison between dimension two and dimension three. (English) Zbl 1276.35021 J. Math. Anal. Appl. 393, No. 2, 563-589 (2012). Reviewer: Alexander A. Kovalevsky (Donetsk) MSC: 35B27 78M40 PDFBibTeX XMLCite \textit{M. Briane} and \textit{L. Pater}, J. Math. Anal. Appl. 393, No. 2, 563--589 (2012; Zbl 1276.35021) Full Text: DOI arXiv
Briane, Marc; Gérard, Patrick A drift homogenization problem revisited. (English) Zbl 1270.35058 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 11, No. 1, 1-39 (2012). Reviewer: Marco Codegone (Torino) MSC: 35B27 76M50 PDFBibTeX XMLCite \textit{M. Briane} and \textit{P. Gérard}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 11, No. 1, 1--39 (2012; Zbl 1270.35058) Full Text: DOI arXiv
Briane, Marc; Milton, Graeme W. New bounds on strong field magneto-transport in multiphase columnar composites. (English) Zbl 1230.35013 SIAM J. Appl. Math. 70, No. 8, 3272-3286 (2010). Reviewer: Marco Codegone (Torino) MSC: 35B27 74Q20 35Q60 PDFBibTeX XMLCite \textit{M. Briane} and \textit{G. W. Milton}, SIAM J. Appl. Math. 70, No. 8, 3272--3286 (2010; Zbl 1230.35013) Full Text: DOI
Briane, Marc; Milton, Graeme W. An antisymmetric effective Hall matrix. (English) Zbl 1213.35058 SIAM J. Appl. Math. 70, No. 6, 1810-1820 (2010). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 74Q15 PDFBibTeX XMLCite \textit{M. Briane} and \textit{G. W. Milton}, SIAM J. Appl. Math. 70, No. 6, 1810--1820 (2010; Zbl 1213.35058) Full Text: DOI
Briane, Marc Homogenization of the magneto-resistance in dimension two. (English) Zbl 1204.35036 Math. Models Methods Appl. Sci. 20, No. 7, 1161-1177 (2010). Reviewer: Emmanuel Kwame Essel (Cape Coast) MSC: 35B27 74Q15 35B45 35J25 PDFBibTeX XMLCite \textit{M. Briane}, Math. Models Methods Appl. Sci. 20, No. 7, 1161--1177 (2010; Zbl 1204.35036) Full Text: DOI
Allaire, Grégoire; Briane, Marc; Brizzi, Robert; Capdeboscq, Yves Two asymptotic models for arrays of underground waste containers. (English) Zbl 1180.35061 Appl. Anal. 88, No. 10-11, 1445-1467 (2009). MSC: 35B27 74Q10 35B25 PDFBibTeX XMLCite \textit{G. Allaire} et al., Appl. Anal. 88, No. 10--11, 1445--1467 (2009; Zbl 1180.35061) Full Text: DOI HAL
Briane, Marc; Milton, Graeme W. Giant Hall effect in composites. (English) Zbl 1181.35016 Multiscale Model. Simul. 7, No. 3, 1405-1427 (2009). MSC: 35B27 74Q15 PDFBibTeX XMLCite \textit{M. Briane} and \textit{G. W. Milton}, Multiscale Model. Simul. 7, No. 3, 1405--1427 (2009; Zbl 1181.35016) Full Text: DOI
Braides, Andrea; Briane, Marc; Casado-Díaz, Juan Homogenization of non-uniformly bounded periodic diffusion energies in dimension two. (English) Zbl 1221.35048 Nonlinearity 22, No. 6, 1459-1480 (2009). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35J60 49J45 PDFBibTeX XMLCite \textit{A. Braides} et al., Nonlinearity 22, No. 6, 1459--1480 (2009; Zbl 1221.35048) Full Text: DOI Link
Briane, Marc; Camar-Eddine, Mohamed Homogenization of two-dimensional elasticity problems with very stiff coefficients. (English) Zbl 1134.35010 J. Math. Pures Appl. (9) 88, No. 6, 483-505 (2007). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 74Q05 PDFBibTeX XMLCite \textit{M. Briane} and \textit{M. Camar-Eddine}, J. Math. Pures Appl. (9) 88, No. 6, 483--505 (2007; Zbl 1134.35010) Full Text: DOI HAL
Briane, Marc; Casado-Díaz, Juan Asymptotic behaviour of equicoercive diffusion energies in dimension two. (English) Zbl 1186.35012 Calc. Var. Partial Differ. Equ. 29, No. 4, 455-479 (2007). MSC: 35B27 35J20 31C25 PDFBibTeX XMLCite \textit{M. Briane} and \textit{J. Casado-Díaz}, Calc. Var. Partial Differ. Equ. 29, No. 4, 455--479 (2007; Zbl 1186.35012) Full Text: DOI Link
Braides, Andrea; Briane, Marc Homogenization of non-linear variational problems with thin low-conducting layers. (English) Zbl 1112.35015 Appl. Math. Optimization 55, No. 1, 1-29 (2007). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 49J45 74G65 74Q05 PDFBibTeX XMLCite \textit{A. Braides} and \textit{M. Briane}, Appl. Math. Optim. 55, No. 1, 1--29 (2007; Zbl 1112.35015) Full Text: DOI
Briane, Marc; Casado-Díaz, Juan Lack of compactness in two-scale convergence. (English) Zbl 1112.35016 SIAM J. Math. Anal. 37, No. 2, 343-346 (2005). Reviewer: Dan Polisevski (Bucureşti) MSC: 35B27 35B40 49J45 PDFBibTeX XMLCite \textit{M. Briane} and \textit{J. Casado-Díaz}, SIAM J. Math. Anal. 37, No. 2, 343--346 (2005; Zbl 1112.35016) Full Text: DOI Link
Briane, Marc Non-Markovian quadratic forms obtained by homogenization. (English) Zbl 1150.35009 Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 6, No. 2, 323-337 (2003). Reviewer: Uldis Raitums (Riga) MSC: 35B27 PDFBibTeX XMLCite \textit{M. Briane}, Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 6, No. 2, 323--337 (2003; Zbl 1150.35009) Full Text: EuDML
Briane, Marc A spectral approach for the homogenization in general periodically perforated domains. (English) Zbl 1043.35026 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, 219-224 (2003). Reviewer: Marco Biroli (Milano) MSC: 35B27 35J25 PDFBibTeX XMLCite \textit{M. Briane}, GAKUTO Int. Ser., Math. Sci. Appl. 18, 219--224 (2003; Zbl 1043.35026)
Briane, Marc Homogenization of the Stokes equations with high-contrast viscosity. (English) Zbl 1058.35024 J. Math. Pures Appl., IX. Sér. 82, No. 7, 843-876 (2003). Reviewer: Hans-Dieter Alber (Darmstadt) MSC: 35B27 35Q30 76D07 PDFBibTeX XMLCite \textit{M. Briane}, J. Math. Pures Appl. (9) 82, No. 7, 843--876 (2003; Zbl 1058.35024) Full Text: DOI
Briane, Marc Homogenization of high-conductivity periodic problems: application to a general distribution of one-directional fibers. (English) Zbl 1055.35017 SIAM J. Math. Anal. 35, No. 1, 33-60 (2003). Reviewer: Hans-Dieter Alber (Darmstadt) MSC: 35B27 35J25 74Q15 76M50 PDFBibTeX XMLCite \textit{M. Briane}, SIAM J. Math. Anal. 35, No. 1, 33--60 (2003; Zbl 1055.35017) Full Text: DOI
Briane, Marc Homogenization in general periodically perforated domains by a spectral approach. (English) Zbl 1028.35018 Calc. Var. Partial Differ. Equ. 15, No. 1, 1-23 (2002). Reviewer: Dan Polisevski (Bucureşti) MSC: 35B27 35J25 74Q15 76M50 PDFBibTeX XMLCite \textit{M. Briane}, Calc. Var. Partial Differ. Equ. 15, No. 1, 1--23 (2002; Zbl 1028.35018) Full Text: DOI
Briane, Marc Homogenization of non-uniformly bounded operators: critical barrier for nonlocal effects. (English) Zbl 1087.35508 Arch. Ration. Mech. Anal. 164, No. 1, 73-101 (2002). MSC: 35B27 35J25 49J45 74Q05 PDFBibTeX XMLCite \textit{M. Briane}, Arch. Ration. Mech. Anal. 164, No. 1, 73--101 (2002; Zbl 1087.35508) Full Text: DOI
Tchou, N.; Briane, Marc Fibered microstructures for some nonlocal Dirichlet forms. (English) Zbl 1170.35321 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 30, No. 3-4, 681-711 (2001). MSC: 35B27 35J25 74Q15 76M50 PDFBibTeX XMLCite \textit{N. Tchou} and \textit{M. Briane}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 30, No. 3--4, 681--711 (2001; Zbl 1170.35321) Full Text: Numdam EuDML
Briane, Marc Optimal conditions of convergence and effects of anisotropy in the homogenization of non-uniformly elliptic problems. (English) Zbl 1067.35010 Asymptotic Anal. 25, No. 3-4, 271-297 (2001). MSC: 35B27 35J25 35J70 PDFBibTeX XMLCite \textit{M. Briane}, Asymptotic Anal. 25, No. 3--4, 271--297 (2001; Zbl 1067.35010) Full Text: Link
Briane, Marc Increase of dimension by homogenization. (English) Zbl 0977.35018 Potential Anal. 14, No. 3, 233-268 (2001). Reviewer: Dmitry V.Larin (Donetsk) MSC: 35B27 35J25 74Q15 76M50 PDFBibTeX XMLCite \textit{M. Briane}, Potential Anal. 14, No. 3, 233--268 (2001; Zbl 0977.35018) Full Text: DOI
Briane, M.; Damlamian, A.; Donato, P. \(H\)-convergence for perforated domains. (English) Zbl 0943.35005 Cioranescu, D. (ed.) et al., Nonlinear partial differential equations and their applications. Collège de France seminar. Vol. XIII. Lectures held at the J. L. Lions seminar on applied mathematics, Paris, France, 1994-1996. Harlow: Longman. Pitman Res. Notes Math. Ser. 391, 62-100 (1998). Reviewer: Marco Biroli (Monza) MSC: 35B27 35B40 PDFBibTeX XMLCite \textit{M. Briane} et al., Pitman Res. Notes Math. Ser. 391, 62--100 (1998; Zbl 0943.35005)
Briane, M.; Mazliak, L. Homogenization of two randomly weakly connected materials. (English) Zbl 0927.35011 Port. Math. 55, No. 2, 187-207 (1998). MSC: 35B27 74A40 35R60 PDFBibTeX XMLCite \textit{M. Briane} and \textit{L. Mazliak}, Port. Math. 55, No. 2, 187--207 (1998; Zbl 0927.35011) Full Text: EuDML
Briane, Marc Homogenization of perforated laminates. (English) Zbl 0897.35011 Appl. Anal. 67, No. 1-2, 21-57 (1997). MSC: 35B27 35J25 74E05 74E30 PDFBibTeX XMLCite \textit{M. Briane}, Appl. Anal. 67, No. 1--2, 21--57 (1997; Zbl 0897.35011) Full Text: DOI
Briane, Marc Homogenization of the torsion problem and the Neumann problem in nonregular periodically perforated domains. (English) Zbl 0896.35015 Math. Models Methods Appl. Sci. 7, No. 6, 847-870 (1997). Reviewer: M.Merigot (Nice) MSC: 35B27 35J25 35B40 PDFBibTeX XMLCite \textit{M. Briane}, Math. Models Methods Appl. Sci. 7, No. 6, 847--870 (1997; Zbl 0896.35015) Full Text: DOI
Briane, Marc Poincaré-Wirtinger’s inequality for the homogenization in perforated domains. (English) Zbl 0901.35004 Boll. Unione Mat. Ital., VII. Ser., B 11, No. 1, 53-82 (1997). Reviewer: G.Di Fazio (Catania) MSC: 35B27 35J25 PDFBibTeX XMLCite \textit{M. Briane}, Boll. Unione Mat. Ital., VII. Ser., B 11, No. 1, 53--82 (1997; Zbl 0901.35004)
Allaire, G.; Briane, M. Multiscale convergence and reiterated homogenisation. (English) Zbl 0866.35017 Proc. R. Soc. Edinb., Sect. A 126, No. 2, 297-342 (1996). Reviewer: L.Ambrosio (Pavia) MSC: 35B27 35J25 PDFBibTeX XMLCite \textit{G. Allaire} and \textit{M. Briane}, Proc. R. Soc. Edinb., Sect. A, Math. 126, No. 2, 297--342 (1996; Zbl 0866.35017) Full Text: DOI
Briane, Marc Homogenization of a non-periodic material. (English) Zbl 0835.35016 J. Math. Pures Appl., IX. Sér. 73, No. 1, 47-66 (1994). MSC: 35B27 35J20 PDFBibTeX XMLCite \textit{M. Briane}, J. Math. Pures Appl. (9) 73, No. 1, 47--66 (1994; Zbl 0835.35016)
Briane, Marc Correctors for the homogenization of a laminate. (English) Zbl 0829.35009 Adv. Math. Sci. Appl. 4, No. 2, 357-379 (1994). Reviewer: M.Codegone (Torino) MSC: 35B27 35J25 74E30 PDFBibTeX XMLCite \textit{M. Briane}, Adv. Math. Sci. Appl. 4, No. 2, 357--379 (1994; Zbl 0829.35009)