Position Since March 18, 2014, director of
Transcription
Position Since March 18, 2014, director of
CV AND PUBLICATIONS OF ANTONIO GAUDIELLO • Born June 13, 1963, Naples (Italy). • Position Since March 18, 2014, director of ”INdAM” Research Unit at Università di Cassino e del Lazio Meridionale (Italy). Since December 30, 2013, habilitation to full Professor (01/A3). Since 2000, associate professor of mathematical analysis at Università di Cassino e del Lazio Meridionale (Italy); 1991-2000, assistant professor of mathematical analysis at Università di Napoli ”Federico II” (Italy). • Contacts DIEI, Università degli Studi di Cassino e del Lazio Meridionale, via G. Di Biasio 43, 03043 Cassino (FR), Italy. tel. (+39) 0776 299 3617 e-mail: [email protected] homepage: http://www.docente.unicas.it/antonio− gaudiello • Education 1996, Ph.D. in Mathematical analysis and Probabilities, Università di Napoli ”Federico II”; 1988, Laurea degree (cum laude) in Mathematics, Università di Napoli ”Federico II”. • Foreign languages - French: advanced level; - English: basic level. • Fellowships February 1 - May 30, 1999, CNA, Department of Mathematics, Carnegie Mellon University (Pittsburgh, USA); January 1 - June 27, 1991, Università di Napoli ”Federico II”; November 1, 1988 - October 31, 1990, Istituto Nazionale di Alta Matematica (INdAM) ”F. Severi” (Rome); July 1 - October 27, 1988, Centro Nazionale delle Ricerche (C.N.R.). • Research interests The research interests lie in the areas of calculus of variations and partial differential equations. Mainly, he studies asymptotic problems in homogenization and in modeling of thin structures. His scientific production is summarized in about 40 papers on international journals. 1 • Visiting position He was invited as visiting professor in the following universities Long period invitation July 5 - August 5, 2014, Aix Marseille Université (Marseille, France); February 25 - March 25, 2014, Université Paris Est - Val de Marne (Créteil, France); June 1-30, 2012, Université de Rouen (Rouen, France); January 24 - April 23, 2011, Université Paris Est - Val de Marne (Créteil, France); June 1-30, 2010, Université Paris Est - Val de Marne (Créteil, France); May 1-31, 2010, Ecole Polytechnique (Paliseau, France); March 1-31, 2010, Université de Provence Aix-Marseille I (Marseille, France); May 2 - June 2, 2006, Université de Provence Aix-Marseille I (Marseille, France); May 14 - June 14, 2004, Ecole Normale Superiéure de Cachan (Cachan, France); May 30-July 3, 1998 Université J. Verne (Amiens, France). Short period invitation Carnegie Mellon University (Pittsburgh, USA); Femto-st (Besançon, France); Indian Institute of Science (Bangalore, India); Tokyo University of Science (Tokyo, Japan); Universidad de Cantabria (Santander, Spain); Université de Lorraine-Metz (Metz, France), Université B. Pascal - Clermont-Ferrand II (Aubière, France); Université du Sud Toulon-Var (Toulon, France); Université Jean Monnet (Saint Etienne, France); Université de Rennes 1 (Rennes, France); Università degli Studi di Salerno (Fisciano, Italy); Università degli Studi di Trento (Trento, Italy); University of Zagreb (Croatia). • Member of the Ph.D. thesis defense committee December 16, 2014, Bin Yang (Université de Franche-Comté), advisor M. Lenczner. March 25, 2014, Le Nguyen Kim Hang (Université de Rouen, France), advisor P. Donato. December 17, 2012, Hamid Charef (Univesité du Sud Toulon-Var, France), advisor A. Sili. November 21, 2011, Roula Fares (Université Jean Monnet - Saint-Etienne, France), advisor G. Panasenko. June 2011, Alessandro Londero (Università degli Studi di Udine, Italy), advisors L. Freddi and R. Paroni. June 8, 2007, Isabelle Gruais (Université de Rennes 1, France), ”Habilitation Diriger des Recherches Mathematiques”. January 29, 2002, Tesi di dottorato in Matematica - XIII ciclo (Università degli Studi di Napoli ”Federico II”, Italy). • Projects As coordinator in chief ”Metodi asintotici per problemi di fratture, delaminazioni e giunzioni”, within the GNAMPAINDAM project 2014 (euro 2.800,00). 2 Project n. CII10E6UNV ”Strutture rugose”, within the MIUR programme 2010 ”Cooperazione Interuniversitaria Internazionale” (euro 4.900,00). ”Problemi di giunzione in multi-strutture”, within the GNAMPA-INDAM project 2009 (euro 3.500,00). Project n. 219690 ”GaKo2007Ca-Development of multiscale methods in planning of nano MEMS”, within the ”FP7-PEOPLE-2007-4-2-IIF” programme, Panel ”MAT” (euro 224.573,28). Project n. II04CE94M2 ”Strutture sottili”, within the MIUR programme 2004-2006 ”Internazionalizzazione dell’Universit” (euro 27.761,00). • Organization events Workshop on thin structures, Naples (Italy), September 15-17, 2000. Second workshop on thin structures, Naples (Italy), September 9-11, 2010. Third workshop on thin structures, Naples (Italy), September 5-7, 2013. Third International Workshop on the Multiscale Modelling and Methods (MMM), SaintEtienne (France), October 8-9, 2013. • List of talks Talks in conferences - 16-17/2/1996, EurHomogenization (Poigny-la-Forêt, France), ”Homogenization of an Elliptic Transmission Problem” (plenary talk). - 6/5/1996, Journée d’étude et de recherche : Homogénéisation et calcul des variations (Amiens, France), ”Non-Homogeneous Neumann Problems in Domains with Oscillating Boundary” (plenary talk). - 26-30/6/2000, International Workshop on Asymptotic and Numerical Analysis of Structures and of Heterogeneous Media (Saint Peterburgh, Russia), ”Homogenization of the Ginzburg-Landau Equation in a Domain with Oscillating Boundary” (plenary talk). - 28/8-10 /9/2000, 5ème Colloque Franco-Roumain (Constanta, Rumania), ”Coupled and Uncoupled Limits for N -Dimensional Multidomain Neumann Problem” (communication). - 22-27/5/2001, International Conference ”Differential Equations and Related Topics” dedicated to Ivan G. Petrovskii (Moscow, Russia), ”Homogenization of Unbounded Functionals and Nonlinear Elastomers” (communication). - 18-27/6/2001, International School and Conference on Homogenization (Naples, Italy), ”Asymptotic Analysis for Monotone Quasilinear Problems in Thin Multidomains” (communication). - 10-13/2/2003, AMAM 2003 (Nice, France), ”Homogenization of Highly Oscillating Boundaries and Reduction of Dimension for a Monotone Problem” (communication). - 8-13/9/2003, XVII Convegno UMI 2003 (Milan, Italy), ”Homogenization of Highly Oscillating Boundaries and Reduction of Dimension for a Monotone Problem” (communication). - 14-20/9/2003, NPDE 2003 (Alushta, Ukraine), ”Homogenization of Highly Oscillating Boundaries and Reduction of Dimension for a Monotone Problem” (communication). 3 - 13-14/5/2004, Colloquium du CMLA, Ecole Normale Superiéure de Cachan (Cachan, France), ”Frontières fortement oscillantes et réduction de dimension: le cas critique” (plenary talk). - 30/5-3/6/2004, 2004 Fifth European Conference on Elliptic and Parabolic Problems: A Special Tribute to the Work of Haim Brazis (Gaeta, Italy), ”Junction in a Thin Multidomain for a Fourth Order Problem” (communication). - 22-26/6/2004, Midnight Sun Narvik Conference (Narvik, Norway), ”Junction in a Thin Multidomain for a Fourth Order Problem” (communication). - 3-7/7/2006, Mathematics and its Applications - Special session: Homogenization and Thin Structures (Turin, Italy), ”Asymptotic Analysis of the Eigenvalues of a Laplacian Problem in a Thin Multidomain” (communication). - 4-9/9/2006, International Conference on Applied Analysis and Differential Equations (Iasi, Rumania), ”A Fourth Order Problem in a Thin Multidomain” (communication). - 21-26/5/2007, International Conference ”Differential Equations and Related Topics” dedicated to I.G. Petrovskii (Moscow, Russia), ”Asymptotic Analysis of the Eigenvalues of a Laplacian Problem in a Thin Multidomain” (communication). - 28/5-2/6/2007, International Conference ”Differential Equations, Theory of Functions and Applications” dedicated to the Centennial of Academician I. N. Vekua (Novosibirsk, Russia), ”Boundary Homogenization and Reduction of Dimension in a Kirchhoff-Love Plate” (communication). - 19/10/2007, Journée Franco-Italienne sur la Recherche et la Coopération, Ecole Centrale Marseille (Marseille, France), ”Homogénéisation de frontières et réduction de dimension dans une plaque de Kirchhoff-Love” (communication). - 11/4/2008, Mathematical Approaches in Optimization, Modellisation and Control (Iasi, Rumania), ”Optimal Control for a Parabolic Problem in a Domain with Highly Oscillating Boundary” (plenary talk). - 7-10/7/2008, The Tenth International Conference on Integral Methods in Science and Engineering. Monographic Session: Homogenization and Thin Structures (Santander, Spain), ”Boundary Homogenization and Reduction of Dimension in a Kirchhoff-Love Plate” (communication). - 28/5/2009, 6th European Conference on Elliptic and Parabolic Problems. Minisymposium: Asymptotic Methods in Partial Differential Equations (Gaeta, Italy), ”Junction of ferromagnetic thin films” (communication). - 11-12/9/2009, International Workshop on Homogenization and Optimal Design (Seville, Spain), ”Junction of Ferromagnetic Thin Films” (plenary talk). - 23/10/2009, Remembering Riccardo. Riccardo De Arcangelis Memorial Meeting (Naples, Italy), ”Homogenization of Unbounded Functionals and Nonlinear Elastomers” (plenary talk). - 12-14/7/2010, Multi - Scale Analysis and Homogenization (Bangalore, India), ”Elastic models as limit of a Kirchhoff-Love plate” (plenary talk). - 6-7/5/2011, International Conference on the Occasion of V.V. Zhikov’s 70th Birthday. Multiscale Methods and Qualitative Properties for Differential Operators (Naples, Italy), ”Elastic models as limit of a Kirchhoff-Love plate” (plenary talk). 4 - 6/9/2011, XXII CEDYA / XII CMA. Sesión especial: Homogeneización y Pertubaciones Espectrales (Palma de Mallorca, Spain), ”Asymptotic analysis of the eigenvalues of an elliptic problem in an anisotropic thin multidomain” (communication). - 15/9/2011, XX Congresso AIMETA 2011, Sessione speciale: Mathematical contributions to the study of thin structures, (Boulogne, Italy) ”Giunzioni in strutture elastiche sottili” (communication). - 25-26/10/2011, EDP-Normandie 2011 (Rouen, France), ”La polarisation dans un film mince ferroélectrique: problèmes limites locaux et nonlocaux” (plenary talk). - 4/7/2012, The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Special session: Nonlinear PDEs and Control Theory with Applications, (Orlando, Florida, USA) ”The polarization in a ferroelectric thin film: local and nonlocal limit problems” (communication). - 9-10/10/2012, Second International Workshop on the Multiscale Modelling and Methods (MMM), (Saint-Etienne, France) ”Homogenization of an elliptic second-order problem with LlogL data in a domain with oscillating boundary” (plenary talk). - 27-30/04/2013, Sixième colloque sur les Tendances dans les Applications Mathématiques en Tunisie, Algérie, Maroc, (Algers, Algeria) ”Modèles de ferromagnétisme et de ferroélectricité dans des structures minces” (plenary talk). - 03/05/2013, Multi-Scale Modeling and Characterization of Innovative Materials and Structures. Mini-Session: Mathematical methods for materials and structures (Cetara, Italy), ”Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure” (communication). - 19-21/06/ 2013, 15èmes Rencontres Mathématiques de Rouen. EDP non linéaires et applications. En mémoire de Dominique Blanchard (Rouen, France), ”Frontières fortement oscillantes” (plenary talk). - 8-9/10/ 2013, Third International Workshop on the Multiscale Modelling and Methods (MMM), (Saint-Etienne, France), ”Ferromagnetic thin multi-structures” (plenary talk). - 1-3/11/ 2013, International Conference on Applied and Pure Mathematics (Iasi, Rumania), ”Ferromagnetic and ferroelectric thin multi-structures” (plenary talk). - 10/1/ 2014, International Workshop on Singularities in boundary value problems (Tokyo, Japan), ”Homogenization of oscillating boundaries” (plenary talk). - 26/5/2014, 8th European Conference on Elliptic and Parabolic Problems. Minisymposium: Qualitative Properties of Nonlinear Elliptic and Parabolic Equations ( Gaeta, Italy), ”Ferroelectric thin structures” (communication). Talks in seminars - 13/6/1996,UFR des Sciences-Mathématiques, Université de Rouen (France), ”Problems with Oscillating Boundary”. - 18/9/1997, Centre de Mathématiques et de Leurs Applications, Ecole Normale Superiéure de Cachan (France), ”Homogénéisation d’équations elliptiques à croissance quadratique dans des domaines perforés”. 5 - 15/6/1998, Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, Université de Picardie J. Verne (Amiens, France), ”Homogénéisation d’équations elliptiques à croissance quadratique et sous-quadratique dans des domaines perforés”. - 22/6/1998, Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, Université de Picardie J. Verne (Amiens, France), ”Homogénéisation de problèmes quasi-linéaires dans des domaines à frontière fortement oscillante”. - 22/9/1998, Centre de Mathématiques et de Leurs Applications, Ecole Normale Superiéure de Cachan (France), Homogénéisation de problèmes monotone dans des domaines à frontière fortement oscillante”. - 13/4/1999, Center for Nonlinear Analysis, Carnergie Mellon University (Pittsburgh, USA), ”Homogenization of a Monotone Problem in a Domain with Oscillating boundary”. - 11/9/2000, Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, Université de Picardie J. Verne (Amiens, France), ”Coupled and Uncoupled Limits for N Dimensional Multidomain Neumann Problem”. - 21/9/2000, Laboratoire de Mathématiques, Université B. Pascal (Clermont-Ferrand II) (Aubière, France), ”Coupled and Uncoupled Limits for N -Dimensional Multidomain Neumann Problem”. - 12/4/2001, Center for Nonlinear Analysis, Carnergie Mellon University (Pittsburgh, USA), ”Asymptotic Analysis of a Class of Minimization Problems in a Thin Multidomain”. - 6/9/2001, Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, Université de Picardie J. Verne (Amiens, France), ”Homogenization of Unbounded Functionals and Nonlinear Elastomers”. - 8/5/2002, Laboratoire de Mathématiques, Université B. Pascal (Clermont-Ferrand II) (Aubière, France), ”Homogénéisation dans domaines à frontière fortement oscillante”. - 9/12/2002, Groupe de travail : Homogénéisation et Échelles Multiples, Laboratoire Jacques-Louis Lions, Université P. et M. Curie (Paris, France), ”Homogénéisation de frontières fortement oscillantes et réduction de dimension pour un problème monotone”. - 12/12/2002, Laboratoire d’Analyse et de Mathématiques Appliquées, Université Paris XII - Val de Marne (Paris, France), ”Homogénéisation de frontières fortement oscillantes et réduction de dimension pour un problème monotone”. - 15/5/2003, Laboratoire de Mathématiques, Université B. Pascal (Clermont-Ferrand II) (Aubière, France), ”Homogénéisation de frontières fortement oscillantes et réduction de dimension pour un problème monotone”. - 8/12/2003,Groupe de travail : Homogénéisation et Échelles Multiples, Laboratoire Jacques-Louis Lions, Université P. et M. Curie (Paris, France), ”Junction in a Thin Multidomain for a Fourth Order Problem”. - 24/5/2005, Laboratoire d’Analyse, Topologie, Probabilités, Université de Provence AixMarseille I (Marseille, France), ”Limite couplée ou non sur un multidomaine mince”. - 16/6/2005, Centre de Mathématiques et de Leurs Applications, Ecole Normale Superiéure de Cachan (France), ”Limite couplée ou non sur un multidomaine mince”. 6 - 11/12/2006, Groupe de travail : Homogénéisation et Échelles Multiples, Laboratoire Jacques-Louis Lions, Université P. et M. Curie (Paris, France), ”Asymptotic Analysis of the Eigenvalues of a Laplacian Problem in a Thin Multidomain”. - 2/5/2007, Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università la Sapienza (Rome, Italy), ”Un problema di autovalori per il laplaciano in un multidominio sottile”. - 15/5/2008, Laboratoire de Mathématiques de l’Université de Saint-Étienne ”Jean Monnet” (Saint Étienne, France), ”Homogénéisation de frontières et réduction de dimension dans une plaque de Kirchhoff-Love”. - 30/04/2009, Laboratoire d’Analyse et de Mathématiques Appliquées, Université ParisEst (Creteil, France), ”Junction of ferromagnetic thin films”. - 29/9/2009, Dipartimento di Matematica ed Applicazioni ”Renato Cacciopoli”, Università di Napoli Federico II (Naples, Italy), ”Junction of ferromagnetic thin films”. - 30/03/2010, Laboratoire d’Analyse, Topologie, Probabilités, Université de Provence Aix-Marseille I (Marseille, France), ”Junction of ferromagnetic thin films”. - 10/06/2010, Laboratoire d’Analyse et de Mathématiques Appliquées, Université ParisEst (Creteil, France), ”Boundary homogenization and dimensional reduction in fourth order problems”. - 22/06/2010, Centre de Mathématiques Appliquées, Ecole Polytechnique (Palaiseau, France), ”Junction of ferromagnetic thin films”. - 04/04/2011, Groupe de travail : Homogénéisation et Échelles Multiples, Laboratoire Jacques-Louis Lions, Université P. et M. Curie (Paris, France), ”Junctions in thin ferromagnetic multistructures”. - 28/06/2011, Dipartimento di Matematica, Università degli Studi di Trento (Trento, Italy) ”Modelli elastici come limite di una piastra di Kirchhoff-Love”. - 22/3/2012, Laboratoire de Mathématiques de l’Université de Saint-Étienne ”Jean Monnet” (Saint Étienne, France), ”La polarisation dans un film mince ferroélectrique: problèmes limites locaux et nonlocaux”. - 23/4/2012, Dpto. de Matematica Aplicada y C. C. E.T.S.I. Caminos, Canales y Puertos, Universidad de Cantabria (Santander, Spain), ”The polarization in a ferroelectric thin film: local and nonlocal limit problems” - 28/5/2014, Laboratoire de Mathématiques et d’Applications de Metz, Université de Lorraine-Metz (Metz, France), ”Frontières fortement oscillantes”. - 26/6/2014, Faculty of Science, University of Zagreb (Zagreb, Croatia), ”Homogenization of oscillating boundaries”. - 26/6/2014, Faculty of Science, University of Zagreb (Zagreb, Croatia), ”Ferroelectric thin structures”. - 15/12/2014, Université de Franche-Comté (Besançon, France), ”Modèles de ferromagnétisme et de ferroélectricité dans des structures minces”. 7 • Publications 1) A. Gaudiello, Sulla convergenza dei punti di minimo di funzionali degeneri non equicoercitivi, Rend. Accad. Sci. fis. mat. Napoli 57 (1990), 4, 125-168. 2) A. Gaudiello, Asymptotic Behaviour of non-Homogeneous Neumann Problems in Domains with Oscillating Boundary, Ricerche Mat. 43 (1994), 2, 239-292. 3) A. Gaudiello, Homogenization of an Elliptic Transmission Problem, Adv. Math. Sci. Appl. 5 (1995), 2, 639-657. 4) R. De Arcangelis, A. Gaudiello, G. Paderni, Some Cases of Homogenization of Linearly Coercive Gradient Constrained Variational Problems, Math. Models Methods Appl. Sci. 6 (1996), 7, 901-940. 5) G. Cardone, A. Gaudiello, Homogenization of Elliptic Equations with Quadratic Growth in Periodically Perforated Domains: the Case of Unbounded Solutions, Portugal. Math. 54 (1997), n. 1, 51-72. 6) A. Corbo Esposito, P. Donato, A. Gaudiello, C. Picard, Homogenization of the pLaplacian in a Domain with Oscillating Boundary, Commun. Appl. Nonlinear Anal. 4 (1997), 4, 1-23. 7) G. Cardone, P. Donato, A. Gaudiello, ”A Compactness Result for Elliptic Equations with Subquadratic Growth in Perforated Domains”, Nonlinear Anal., Theory Methods Appl. 32 (1998), 3, 335-361. 8) P. Donato, A. Gaudiello, L. Sgambati, Homogenization of Bounded Solutions of Elliptic Equations with Quadratic Growth in Periodically Perforated Domains, Asymptot. Anal. 16 (1998), 3-4, 223-243. 9) D. Blanchard, L. Carbone, A. Gaudiello, Homogenization of a Monotone Problem in a Domain with Oscillating Boundary, M2AN, Math. Model. Numer. Anal. 33 (1999), 5, 1057-1070. 10) C. D’Apice, T. Durante, A. Gaudiello, Some New Results on a Lavrentieff Phenomenon for Problems of Homogenization with Constraints on the Gradient, Matematiche (Catania) 54 (1999), 1, 3-47. 11) L. Carbone, D. Cioranescu, R. De Arcangelis, A. Gaudiello, An Approach to the Homogenization of Nonlinear Elastomers in the Case of the Fixed Constraints Set, Rend. Acc. Sci. fis. mat. Napoli 67 (2000), 4, 235-244. 12) A. Gaudiello, B. Gustafsson, C. Lefter, J. Mossino, Coupled and Uncoupled Limits for N -Dimensional Multidomain Neumann Problem, C. R. Acad. Sci., Paris, Sér. I, Math. 330 (2000), 11, 985-990. 13) L. Carbone, D. Cioranescu, R. De Arcangelis, A. Gaudiello, An Approach to the Homogenization of Nonlinear Elastomers via the Theory of Unbounded Functionals , C. R. Acad. Sci., Paris, Sér. I, Math. 332 (2001), 3, 283-288. 14) L. Carbone, D. Cioranescu, R. De Arcangelis, A. Gaudiello, Homogenization of Unbounded Functionals and Nonlinear Elastomers. The General Case, Asymptot. Anal. 29 (2002), n.3-4, 221-272. 8 15) A. Corbo Esposito, C. D’Apice, A. Gaudiello, A Homogenization Problem in a Perforated Domain with Both Dirichlet and Neumann Conditions on the Boundary of the Holes, Asymptot. Anal. 31 (2002), 3-4, 297-316. 16) A. Gaudiello, B. Gustafsson, C. Lefter, J. Mossino, Asymptotic Analysis of a Class of Minimization Problems in a Thin Multidomain, Calc. Var. Partial Differ. Equ. 15 (2002), 2, 181-201. 17) A. Gaudiello, B. Gustafsson, C. Lefter, J. Mossino, Asymptotic Analysis for Monotone Quasilinear Problems in Thin Multidomains, Differential Integral Equations 15 (2002), 5, 623-640. 18) A. Gaudiello, R. Monneau, J. Mossino, F. Murat, A. Sili, On the Junction of Elastic Plates and Beams, C. R. Math. Acad. Sci. Paris 335 (2002), 8, 717-722. 19) D. Blanchard, A. Gaudiello, Homogenization of Highly Oscillating Boundaries and Reduction of Dimension for a Monotone Problem, ESAIM Control Optim. Calc. Var. 9 (2003), 449-460. 20) A. Gaudiello, R. Hadiji, C. Picard, Homogenization of the Ginzburg-Landau Equation in a Domain with Oscillating Boundary, Commun. Appl. Anal. 7 (2003), 2, 209-223 21) Y. Amirat, O. Bodart, U. De Maio, A. Gaudiello, Asymptotic Approximation of the Solution of the Laplace Equation in a Domain with Highly Oscillating Boundary, SIAM J. Math. Anal. 35 (2004), 6, 1598-1616. 22) L. Carbone, D. Cioranescu, R. De Arcangelis, A. Gaudiello, Homogenization of Unbounded Functionals and Nonlinear Elastomers. The Case of the Fixed Constraints Set, ESAIM Control Optim. Calc. Var. 10 (2004), 53-83 23) U. De Maio, C. Lefter, A. Gaudiello, Optimal Control for a Parabolic Problem in a Domain with Highly Oscillating Boundary, Applicable Anal., 83 (2004), 12, 1245-1264. 24) A. Gaudiello, E. Zappale, Junction in a Thin Multidomain for a Fourth Order Problem, Math. Models Methods Appl. Sci., 16 (2006), 12, 1887-1918. 25) Y. Amirat, O. Bodart, U. De Maio, A. Gaudiello, Asymptotic Approximation of the Solution of Stokes Equation in a Domain with Highly Oscillating Boundary, Ann. Univ. Ferrara 53 (2007), 2, 135-148. 26) D. Blanchard, A. Gaudiello, G. Griso, Junction of a Periodic Family of Elastic Rods with a 3d Plate. Part I, J. Math. Pures Appl. 88 (2007), 1, 1-33. 27) D. Blanchard, A. Gaudiello, G. Griso, Junction of a Periodic Family of Elastic Rods with a Thin Plate. Part II, J. Math. Pures Appl. 88 (2007), 2, 149-190. 28) D. Blanchard, A. Gaudiello, J. Mossino, Highly Oscillating Boundaries and Reduction of Dimension: the Critical Case, Anal. Appl. (Singap.) 5 (2007), 2, 137-163. 29) A. Gaudiello, R. Monneau, J. Mossino, F. Murat, A. Sili, Junction of Elastic Plates and Beams, ESAIM Control Optim. Calc. Var. 13 (2007), 3, 419-457. 30) A. Gaudiello, A. Sili, Asymptotic Analysis of the Eigenvalues of a Laplacian Problem in a Thin Multidomain, Indiana Univ. Math. J. 56 (2007), 4, 1675-1710. 9 31) D. Blanchard, A. Gaudiello, T. A. Mel’nyk, Boundary Homogenization and Reduction of Dimension in a Kirchhoff-Love Plate, SIAM J. Math. Anal. 39 (2008), 6, 1764-1787. 32) A. Gaudiello, R. Hadiji, Junction of One-Dimensional Minimization Problems Involving S 2 Valued Maps, Adv. Differ. Equ. 13 (2008), 9-10, 935-958. 33) A. Gaudiello, R. Hadiji, Asymptotic Analysis, in a Thin Multidomain, of Minimizing Maps with values in S 2 , Ann. Inst. Henri Poincaré, Anal. Non Linaire 26 (2009), 1, 59-80. 34) A. Gaudiello, A.M. Khludnev, Crack on the Boundary of Two Overlapping Domains, Z. Angew. Math. Phys. 61 (2010), 2, 341-356. 35) A. Gaudiello, R. Hadiji, Junction of Ferromagnetic Thin Films, Calc. Var. Partial Differ. Equ. 39 (2010), 3, 593-619. 36) A. Gaudiello, E. Zappale, A Model of Joined Beams as Limit of a 2D Plate, J. Elasticity 103 (2011), 2, 205-233. 37) A. Gaudiello, A. Sili, Asymptotic Analysis of the Eigenvalues of an Elliptic Problem in an Anisotropic Thin Multidomain, Proc. Roy. Soc. Edinburgh Sect. A 141 (2011), 4, 739-754. 38) A. Gaudiello, A. G. Kolpakov, Influence of Non Degenerated Joint on the Global and Local Behavior of Joined Rods, Int. J. Eng. Sci. 49 (2011), 295-309. 39) A. Gaudiello, K. Hamdache, The Polarization in a Ferroelectric Thin Film: Local and Nonlocal Limit Problems, ESAIM Control Optim. Calc. Var. 19 (2013), 657-667. 40) A. Gaudiello, O. Guibé, Homogenization of an Elliptic Second-Order Problem with L log L Data in a Domain with Oscillating Boundary, Commun. Contemp. Math. 15 (2013), 6, 1-13. 41) Y. Amirat, O. Bodart, U. De Maio, A. Gaudiello, Effective Boundary Condition for Stokes Flow over a Very Rough Surface, J. Differential Equations 254 (2013), 3395-3430. 42) A. Gaudiello, R. Hadiji, Ferromagnetic Thin Multi-Structures, J. Differential Equations 257 (2014), 1591-1622. 43) A. Gaudiello, A. Sili, Homogenization of highly oscillating boundaries with strongly contrasting diffusivity, SIAM J. Math. Anal., to appear. bigskip Cassino, February 5, 2015 Antonio Gaudiello 10