List of Publications

RESEARCH PAPERS

                       1.              with R. G. Smits,  Bounds and Monotonicity Results for  the Generalized Robin Problem, to appear in Z. angew. Math. Phys.

                       2.              with H. Jadallah,  The Onset of Superconductivity at Superconductig/Normal Interface, Euro. Jnl Applied Mathematics, Vol. 17, pp. 633-650, 2006.

                       3.              with R. G. Smits,  Monotonicity Results for the Principal Eigenvalue of the Generalized Robin Problem, Illinois J. Math.,  Vol. 49, No. 4, pp. 1133-1143, 2005

                       4.              with R. G. Smits Eigenvalue Estimates and Critical Temperature in Zero Fields for Enhanced Surface Superconductivity, Z. angew. Math. Phys., Vol. 57, pp. 1-22, 2006

                       5.              Superconductors Surrounded by Normal Materials, Proc. Roy. Soc. Edinburgh Sect. A, Vol. 135A, No. 2, pp. 331-356, 2005

                       6.              with M. O’Leary, On the Local Integrability and Boundedness of Solutions to Quasilinear Parabolic Systems, Electron. J. Qual.Theory Differ. Equ., No. 14, pp. 1-14, 2004

                       7.              with R. G. Smits, Remarks on the Existence of Global Minimizers for the Ginzburg-Landau Energy Functional, Nonlinear Analysis, TMA, Vol. 53, No. 2, pp 147-155, 2003

                       8.              with D. Phillips, The Breakdown of Superconductivity due to Strong Fields for the Ginzburg-Landau Model, SIAM Review, Vol. 44, No. 2, pp. 237-256, 2002

                       9.              with S. Alama, L. Bronsard, Vortex Structures for an SO(5) Model  of High-TC Superconductivity and Antiferromagnetism, Proc. Roy. Soc. Edinburgh Sect. A, Vol. 130A, pp. 1183- 1215, 2000

                   10.              with  S. Alama, L. Bronsard, A. J. Berlinsky, Vortices with Antiferromagnetic Cores in the SO(5) Model of High Temperature Superconductivity, Phys. Rev. B., Vol. 60, No. 9, pp. 6901-6906, 1999

                   11.              with  S. Alama, L. Bronsard, Uniqueness of Symmetric Vortex Solutions in the Ginzburg-Landau Model of Superconductivity, J. Funct. Anal., Vol. 167, pp. 399-424, 1999

                   12.              with D. Phillips, The Breakdown of Superconductivity due to Strong Fields for the Ginzburg-Landau Model, SIAM J. Math. Anal., Vol. 30, No. 2, pp. 341-359, 1999

                   13.              with M. Falcone, An Approximation Scheme for Evolutive Hamilton-Jacobi Equations, Stochastic analysis, control, optimization and applications, pp. 289-303, Systems Control Found. Appl., Birkäuser Boston, Boston, MA, 1999

                   14.              Derivation of Forchheimer Law via Matched Asymptotic Expansions, Transport in Porous Media, Vol. 29, pp. 191-206, 1997

                   15.              with L. Schreyer  Bennethum, Generalized Forchheimer Equation for Two-Phase Flow Based on Hybrid Mixture Theory, Transport in Porous Media, Vol. 26, pp. 261-275, 1997                                                                                                                          

                   16.              with M. Falcone, P. Loreti, Level Sets of Viscosity Solutions: Some Applications to Fronts and Rendez-Vous Problems, SIAM J. Appl. Math, Vol. 54, No. 5, pp. 1335-1354, 1994

                   17.              with J. Douglas, Jr., P.  J. Paes-Leme, Generalized Forchheimer Flow in Porous Media, Boundary value problems for partial differential equations and applications, pp. 99-111, RMA Res. Notes Appl. Math., 29, Masson, Paris, 1993

                   18.              Metodi Conservativi per l’Approssimazione di una Legge di Conservazione a Coefficienti Variabili, Technical Report of the Istituto per le Applicazioni del Calcolo, “M. Picone”, Rome, Italy, Quaderno n. 6, 1989 (in Italian)

 

EXPOSITORY PAPERS

                       1.              with R. Smits, Dynamics on Discrete Structures: A Dialog between Squares and Circles, Proceedings of  the Renaissance Banff: Mathematics, Music, Art, Culture, 2005 (Refereed publication)

                       2.              with R. Smits, From Hot Spots to High School Geometry and Calculus, Proceedings of  the Bridges International Conference, 2004 (Refereed publication)

                       3.              with C. Werner,  Nodal Lines and Quasi-Space Filling Curves,  Proceedings of the

ISAMA-Bridges International Conference, 2003 (Refereed publication)

 

PAPERS SUBMITTED or in PREPARATION

                       1.              with H. Jadallah, On a Generalized Ginzburg-Landau Energy for Superconducting/Normal Composite Materials, submitted (March 2007)