Edit Profile (opens in new tab) Brillard, Alain Co-Author Distance Author ID: brillard.alain Published as: Brillard, Alain; Brillard, A. External Links: ORCID Documents Indexed: 45 Publications since 1982 2 Contributions as Editor Reviewing Activity: 891 Reviews Co-Authors: 31 Co-Authors with 37 Joint Publications 761 Co-Co-Authors all top 5 Co-Authors 10 single-authored 16 El Jarroudi, Mustapha 7 Ganghoffer, Jean-François 4 Pérez, Eugenia 4 Schultz, Jacques 3 Bandle, Catherine 3 Brilhac, Jean-François 3 Lobo, Miguel Sousa 2 Addou, Ahmed 2 Brighi, Bernard 2 Chipot, Michel 2 El Amrani, Jamal 2 Marhrani, ElMiloudi 2 Shafrir, Itai 2 Valente, Vanda 2 Vergara Caffarelli, Giorgio 1 Achtaich, Naceur 1 Aitmoussa, A. 1 Bemelmans, Josef 1 Berestycki, Henri 1 Conrad, Francis 1 Coron, Jean-Michel 1 de Borst, René 1 El Merzguioui, Mhamed 1 Flucher, Martin 1 Gilot, P. 1 Gómez, Delfina 1 Sbordone, Carlo 1 Schönnenbeck, Cornelius 1 Shaposhnikova, Tatiana A. 1 Wronski, Tomasz 1 Zouaoui-Mahzoul, Nabila all top 5 Serials 4 Mathematical and Computer Modelling 2 Applicable Analysis 2 International Journal of Engineering Science 2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Applied Mathematical Modelling 2 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b 1 IMA Journal of Applied Mathematics 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Optimization 1 Journal of Differential Equations 1 Monatshefte für Mathematik 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Extracta Mathematicae 1 European Journal of Mechanics. A. Solids 1 European Journal of Applied Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série II 1 Computational and Applied Mathematics 1 NoDEA. Nonlinear Differential Equations and Applications 1 European Mathematical Society Newsletter 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 European Journal of Mechanics. B. Fluids 1 Italian Journal of Pure and Applied Mathematics 1 Math-Recherche et Applications 1 Nonlinear Analysis. Real World Applications 1 Progress in Nonlinear Differential Equations and Their Applications all top 5 Fields 25 Partial differential equations (35-XX) 20 Mechanics of deformable solids (74-XX) 14 Fluid mechanics (76-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 3 General and overarching topics; collections (00-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Functional analysis (46-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 137 times in 108 Documents Cited by ▼ Year ▼ Green’s function, harmonic transplantation, and best Sobolev constant in spaces of constant curvature. Zbl 0912.35065Bandle, C.; Brillard, A.; Flucher, M. 22 1998 Asymptotic analysis of incompressible and viscous fluid flow through porous media. Brinkman’s law via epi-convergence methods. Zbl 0628.76093Brillard, Alain 16 1986 Asymptotic behaviour of a cylindrical elastic structure periodically reinforced along identical fibres. Zbl 1016.74053El Jarroudi, Mustapha; Brillard, Alain 14 2001 Homogénéisation de frontières par épi-convergence en élasticité linéaire. (Homogenization of boundaries by epi- convergence in linear elasticity). Zbl 0691.73013Brillard, Alain; Lobo, Miguel; Perez, Eugenia 14 1990 Boundary homogenization in perforated domains for adsorption problems with an advection term. Zbl 1362.35034Brillard, A.; Gómez, D.; Lobo, M.; Pérez, E.; Shaposhnikova, T. A. 11 2016 Asymptotic analysis of two elliptic equations with oscillating terms. Zbl 0657.35016Brillard, Alain 6 1988 Homogenization of a nonlinear elastic structure periodically reinforced along identical fibres of high rigidity. Zbl 1106.74050Brillard, Alain; El Jarroudi, Mustapha 5 2007 Asymptotic behaviour of contact problems between two elastic materials through a fractal interface. Zbl 1136.74030El Jarroudi, M.; Brillard, A. 5 2008 Asymptotic analysis of nonlinear thin layers. Zbl 0880.49003Brillard, Alain 5 1997 Un problème d’homogénéisation de frontière en élasticité linéaire pour un corps cylindrique. (A boundary homogenization problem in linear elasticity for a cylindrical body). Zbl 0704.73004Brillard, Alain; Lobo, Miguel; Pérez, Eugenia 5 1990 Homogenization and optimal design of an elastic material reinforced by means of quasi-periodic fibres of higher rigidity. Zbl 1135.74040El Jarroudi, M.; Brillard, A. 4 2008 On the interface boundary conditions between two interacting incompressible viscous fluid flows. Zbl 1404.35319Brillard, Alain; El Jarroudi, Mustapha 4 2013 Asymptotic analysis and boundary homogenization in linear elasticity. Zbl 0964.35017El Jarroudi, M.; Addou, A.; Brillard, A. 3 2000 Asymptotic flow of a viscous and incompressible fluid through a plane sieve. Zbl 0795.76079Brillard, A. 3 1993 Description of the mechanical behaviour of micropolar adhesives. Zbl 1076.74541Ganghoffer, J.-F.; Brillard, A.; De Borst, R. 3 1998 Boundary asymptotic analysis for an incompressible viscous flow: Navier wall laws. Zbl 1172.35053El Jarroudi, M.; Brillard, A. 2 2008 Nonlinear elliptic equations involving critical Sobolev exponents: Asymptotic analysis via methods of epi-convergence. Zbl 0808.35031Bandle, C.; Brillard, A. 2 1994 A model of damaged adhesives. Zbl 0888.73043Ganghoffer, J. F.; Brillard, A.; Schultz, J. 2 1997 Relaxed Dirichlet problem and shape optimization within the linear elasticity framework. Zbl 1109.49041El Jarroudi, Mustapha; Brillard, Alain 2 2004 Derivation of a contact law between a free fluid and thin porous layers via asymptotic analysis methods. Zbl 1278.35012Brillard, Alain; El Amrani, Jamal; El Jarroudi, Mustapha 2 2013 Boundary homogenization in linear elasticity. (Homogénéisation de frontière en élasticité linéaire.) Zbl 0943.74053El Jarroudi, Mustapha; Addou, Ahmed; Brillard, Alain 1 1999 Models for contact and friction using a deductive approach. Zbl 0941.74504Ganghoffer, J. F.; Brillard, A. 1 1997 Asymptotic models of joints bonded by a viscoplastic adhesive. (Modèles asymptotiques de joints collés par un adhésif viscoplastique.) Zbl 0838.73067Ganghoffer, Jean-François; Schultz, Jacques; Brillard, Alain 1 1995 Sur l’interpolation des opérateurs maximaux monotones. Zbl 0482.47023Brillard, A. 1 1982 Asymptotic behaviour of thin interphases within the large deformation case. Zbl 1211.74165Brillard, Alain; Ganghoffer, Jean-François 1 2004 Asymptotic behaviour of a viscoplastic bingham fluid in porous media with periodic structure. Zbl 0636.76097Brillard, Alain 1 1989 A second-order finite difference method for the resolution of a boundary value problem associated to a modified Poisson equation in spherical coordinates. Zbl 1480.65313Brillard, Alain; Brilhac, J.-F.; Gilot, P. 1 2017 A second-order finite difference method for the resolution of a boundary value problem associated to a modified Poisson equation in spherical coordinates. Zbl 1480.65313Brillard, Alain; Brilhac, J.-F.; Gilot, P. 1 2017 Boundary homogenization in perforated domains for adsorption problems with an advection term. Zbl 1362.35034Brillard, A.; Gómez, D.; Lobo, M.; Pérez, E.; Shaposhnikova, T. A. 11 2016 On the interface boundary conditions between two interacting incompressible viscous fluid flows. Zbl 1404.35319Brillard, Alain; El Jarroudi, Mustapha 4 2013 Derivation of a contact law between a free fluid and thin porous layers via asymptotic analysis methods. Zbl 1278.35012Brillard, Alain; El Amrani, Jamal; El Jarroudi, Mustapha 2 2013 Asymptotic behaviour of contact problems between two elastic materials through a fractal interface. Zbl 1136.74030El Jarroudi, M.; Brillard, A. 5 2008 Homogenization and optimal design of an elastic material reinforced by means of quasi-periodic fibres of higher rigidity. Zbl 1135.74040El Jarroudi, M.; Brillard, A. 4 2008 Boundary asymptotic analysis for an incompressible viscous flow: Navier wall laws. Zbl 1172.35053El Jarroudi, M.; Brillard, A. 2 2008 Homogenization of a nonlinear elastic structure periodically reinforced along identical fibres of high rigidity. Zbl 1106.74050Brillard, Alain; El Jarroudi, Mustapha 5 2007 Relaxed Dirichlet problem and shape optimization within the linear elasticity framework. Zbl 1109.49041El Jarroudi, Mustapha; Brillard, Alain 2 2004 Asymptotic behaviour of thin interphases within the large deformation case. Zbl 1211.74165Brillard, Alain; Ganghoffer, Jean-François 1 2004 Asymptotic behaviour of a cylindrical elastic structure periodically reinforced along identical fibres. Zbl 1016.74053El Jarroudi, Mustapha; Brillard, Alain 14 2001 Asymptotic analysis and boundary homogenization in linear elasticity. Zbl 0964.35017El Jarroudi, M.; Addou, A.; Brillard, A. 3 2000 Boundary homogenization in linear elasticity. (Homogénéisation de frontière en élasticité linéaire.) Zbl 0943.74053El Jarroudi, Mustapha; Addou, Ahmed; Brillard, Alain 1 1999 Green’s function, harmonic transplantation, and best Sobolev constant in spaces of constant curvature. Zbl 0912.35065Bandle, C.; Brillard, A.; Flucher, M. 22 1998 Description of the mechanical behaviour of micropolar adhesives. Zbl 1076.74541Ganghoffer, J.-F.; Brillard, A.; De Borst, R. 3 1998 Asymptotic analysis of nonlinear thin layers. Zbl 0880.49003Brillard, Alain 5 1997 A model of damaged adhesives. Zbl 0888.73043Ganghoffer, J. F.; Brillard, A.; Schultz, J. 2 1997 Models for contact and friction using a deductive approach. Zbl 0941.74504Ganghoffer, J. F.; Brillard, A. 1 1997 Asymptotic models of joints bonded by a viscoplastic adhesive. (Modèles asymptotiques de joints collés par un adhésif viscoplastique.) Zbl 0838.73067Ganghoffer, Jean-François; Schultz, Jacques; Brillard, Alain 1 1995 Nonlinear elliptic equations involving critical Sobolev exponents: Asymptotic analysis via methods of epi-convergence. Zbl 0808.35031Bandle, C.; Brillard, A. 2 1994 Asymptotic flow of a viscous and incompressible fluid through a plane sieve. Zbl 0795.76079Brillard, A. 3 1993 Homogénéisation de frontières par épi-convergence en élasticité linéaire. (Homogenization of boundaries by epi- convergence in linear elasticity). Zbl 0691.73013Brillard, Alain; Lobo, Miguel; Perez, Eugenia 14 1990 Un problème d’homogénéisation de frontière en élasticité linéaire pour un corps cylindrique. (A boundary homogenization problem in linear elasticity for a cylindrical body). Zbl 0704.73004Brillard, Alain; Lobo, Miguel; Pérez, Eugenia 5 1990 Asymptotic behaviour of a viscoplastic bingham fluid in porous media with periodic structure. Zbl 0636.76097Brillard, Alain 1 1989 Asymptotic analysis of two elliptic equations with oscillating terms. Zbl 0657.35016Brillard, Alain 6 1988 Asymptotic analysis of incompressible and viscous fluid flow through porous media. Brinkman’s law via epi-convergence methods. Zbl 0628.76093Brillard, Alain 16 1986 Sur l’interpolation des opérateurs maximaux monotones. Zbl 0482.47023Brillard, A. 1 1982 all cited Publications top 5 cited Publications all top 5 Cited by 132 Authors 14 El Jarroudi, Mustapha 8 Brillard, Alain 8 Gómez, Delfina 5 Bandle, Catherine 5 Pérez-martínez, María-eugenia 5 Pérez, Eugenia 5 Shaposhnikova, Tatiana A. 4 Vernescu, Bogdan 3 Allaire, Grégoire 3 Chechkin, Gregory Aleksandrovich 3 Ganghoffer, Jean-François 3 Giunti, Arianna 3 Lobo, Miguel Sousa 3 Messaho, Jamal 3 Nazarov, Sergeĭ Aleksandrovich 3 Nika, Grigor 3 Podolskii, Alexander V. 3 Rahali, Yosra 3 Xiao, Jie 2 Bunoiu, Renata 2 de Borst, René 2 El Amrani, Jamal 2 Er-Riani, Mustapha 2 Gadyl’shin, Rustem R. 2 Höfer, Richard M. 2 Kabeya, Yoshitsugu 2 Kreisbeck, Carolin 2 Pereira, Marcone Corrêa 2 Sano, Megumi 2 Shioji, Naoki 2 Takahashi, Futoshi 2 Watanabe, Kohtaro 2 Wei, Juncheng 1 Abouelhanoune, Y. 1 Achtaich, Naceur 1 Angot, Philippe 1 Anguiano, María 1 Argyros, Ioannis Konstantinos 1 Askour, Nour Eddine 1 Benguria, Rafael D. 1 Bordag, Ljudmila A. 1 Borisov, Denis Ivanovich 1 Boughammoura, Ahmed 1 Boutarene, Khaled El-Ghaouti 1 Bresch, Didier 1 Briane, Marc 1 Brock, Friedemann 1 Bucur, Dorin 1 Cangémi, Laurent 1 Capitanelli, Raffaela 1 Cardone, Giuseppe 1 Chechkina, Aleksandra Grigorievna 1 Chen, Zhiyou 1 Chern, Jann-Long 1 Chiadò Piat, Valeria 1 Cioranescu, Doina 1 Cocu, Marius 1 Dai, Zhendong 1 D’Apice, Ciro 1 Davoli, Elisa 1 De Maio, Umberto 1 dell’Isola, Francesco 1 Donato, Patrizia 1 Du, Mingjing 1 Ene, Horia I. 1 Engl, Dominik 1 Eremeyev, Victor A. 1 Faget, Zoé 1 Feireisl, Eduard 1 Fernández, Miguel Ángel 1 Figari, Rodolfo 1 Gamara, Najoua 1 Gao, Bo 1 Garcke, Harald 1 Gaudiello, Antonio 1 Gerbeau, Jean-Frédéric 1 Giorgio, Ivan 1 González, Daniel 1 Habibi, Sadaf 1 He, Haiyang 1 Hecht, Claudia 1 Hilal, Khalid 1 Ionescu, Ioan Romeo 1 Jäger, Willi 1 Khil’kova, L. O. 1 Khrabustovskyi, Andrii 1 Khruslov, Eugene Yakovlevich 1 Kosaka, Atsushi 1 Lahrouz, Aadil 1 Lakiss, Hassan 1 Ljulj, Matko 1 Maadan, Hicham 1 Makni, Akram 1 Martin, Vincent 1 Meunier, Nicolas 1 Miyamoto, Yasuhito 1 Moussa, Abdelaziz Ait 1 Murat, François 1 Musesti, Alessandro 1 Nazarov, Alexander I. ...and 32 more Authors all top 5 Cited in 61 Serials 6 Journal of Differential Equations 5 Applicable Analysis 5 Mathematics and Mechanics of Solids 4 International Journal of Engineering Science 4 Journal of Mathematical Analysis and Applications 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Calculus of Variations and Partial Differential Equations 3 Mathematical Methods in the Applied Sciences 2 Archive for Rational Mechanics and Analysis 2 Advances in Mathematics 2 Applied Mathematics and Optimization 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Quarterly of Applied Mathematics 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Continuum Mechanics and Thermodynamics 2 Journal of Mathematical Sciences (New York) 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Nonlinear Analysis. Real World Applications 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Mediterranean Journal of Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Physica A 1 Ukrainian Mathematical Journal 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Applied Mathematics and Computation 1 Functional Analysis and its Applications 1 Funkcialaj Ekvacioj. Serio Internacia 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Advances in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Mathematical and Computer Modelling 1 Journal of Global Optimization 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Science in China. Series E 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. A. Solids 1 Acta Mathematica Sinica. English Series 1 Mathematical Modelling and Analysis 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Function Spaces 1 Journal of Elliptic and Parabolic Equations 1 SN Partial Differential Equations and Applications all top 5 Cited in 23 Fields 79 Partial differential equations (35-XX) 38 Mechanics of deformable solids (74-XX) 24 Fluid mechanics (76-XX) 5 Operator theory (47-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year