Research Interests

Partial differential equations, variational methods, nonlinear analysis. Recently I am most interested in singularities such as vortices, arising in superconductivity, superfluidity, and liquid crystals.

Publications & CV

About my research, in PDF format: My CV | Research description | Teaching statement

Publications:

• S. Alama, L. Bronsard, E. Sandier, "Minimizers of the Lawrence–Doniach Functional with Oblique Magnetic Fields." Preprint, 2010.
• S. Alama, L. Bronsard, E. Sandier, "On the Lawrence–Doniach Model of Superconductivity: Magnetic Fields Parallel to the Axes." Preprint, 2010.
• S. Alama, L. Bronsard, V. Millot, "Gamma-convergence of 2D Ginzburg-Landau functionals with vortex concentration along curves." Preprint, 2009. To appear in Journal d'Analyse Mathematique.
• S. Alama, L. Bronsard, B. Galv~ao-Sousa, "Thin film limits for Ginzburg--Landau with strong applied magnetic fields." SIAM Jour. of Mathematical Analysis, Vol. 42 (2010), No. 1, pp. 97–124.
• S. Alama, L. Bronsard, E. Sandier, "Periodic Minimizers of the Anisotropic Ginzburg-Landau Model." Calc. Var. Partial Differential Equations 36 (2009), no. 3, 399–417.
• S. Alama, L. Bronsard, P. Mironescu, "On the structure of fractional degree vortices in a spinor Ginzburg-Landau model." Journal of Functional Analysis 256 (2009) 1118–1136.
• S. Alama, Q. Lu, "Compact support and dead cores for stationary degenerate diffusion equations." J. Differential Equations 246 (2009) 3214–3240.
• S. Alama, L. Bronsard, E. Sandier, ``On the shape of interlayer vortices in the Lawrence--Doniach model." Trans. Amer. Math. Soc. 360 (2008), 1-34.
• S. Alama, L. Bronsard, J.A. Montero, "Vortices for a rotating toroidal Bose-Einstein Condensate." Arch. Rat. Mech. Anal. vol. 187 (2008), no. 3, pp. 481-522.
• S. Alama, L. Bronsard, P. Sternberg (ed.), “Singularities in PDE and the Calculus of Variations”, CRM Proceedings and Lecture Notes, vol. 44. American Mathematical Society: Providence, 2008.
• S. Alama, L. Bronsard, "Fractional degree vortices for a spinor Ginzburg--Landau model.'' Commun. Contemp. Math. vol. 8 (2006), no. 3, 355-380.
• S. Alama, L. Bronsard, J.A. Montero, ``On the Ginzburg--Landau model of a superconducting ball in a uniform field.' 'Ann. Inst. H. Poincar´e Anal. Non Lin´eaire, vol. 23 (2006), no. 2, 237-267.
• S. Alama, L. Bronsard, ``Vortices and pinning effects for the Ginzburg--Landau model in multiply connected domains.'' Comm. Pure Appl. Math. vol. 59 (2006), no. 1, 36-70.
• A. Aftalion, S. Alama, L. Bronsard, ``Giant vortex and the breakdown of strong pinning in a rotating Bose-Einstein Condensate.''Archive for Rational Mechanics and Analysis, Volume 178 (2005), Issue 2, pp.247-286.
• S. Alama, L. Bronsard, ``Vortices and the lower critical field for a Ginzburg--Landau model with ferromagnetic interactions,'' Proc. Roy. Soc. Edinburgh Sect. A, vol. 135 (2005), no. 2, pp. 223-252.
• S. Alama, L. Bronsard, "Pinning effects and their breakdown for a Ginzburg-Landau model with normal inclusions." J. Math. Phys. vol 46 (2005), no. 9, 095102, 39 pp.
• S. Alama, L. Bronsard, "On the second critical field for a Ginzburg--Landau model with ferromagnetic interactions,'' Rev. Math. Phys., vol. 16, No. 2 (2004), 147-174.
• S. Alama, L. Bronsard, ``Des vortex fractionnaires pour un modele Ginzburg--Landau spineur / Half-integer Vortices for a Spin-coupled Ginzburg--Landau model,'' C. R. Acad. Sci. Paris, Serie 1, vol. 337 (2003), 243--247.
• S. Alama, A.J. Berlinsky, L. Bronsard, ``Minimizers of the Lawrence--Doniach energyin the small-coupling limit: finite width samples in a parallel field''. Annales IHP-Analyse nonlineaire, vol. 19 (2002), 281--312.
• S. Alama, A.J. Berlinsky, L. Bronsard, ``Periodic vortex lattices for the Lawrence--Doniach model of layered superconductors in a parallel field'', Commun. Contemp. Math., vol. 3 (2001), no. 3, 457--494.
• S. Alama, L. Bronsard, ``Symmetric Vortex solutions in the U(1) and SO(5) Ginzburg--Landau Models of Superconductivity,'' in Nonlinear PDE's in Condensed Matter and Reactive Flows, H. Berestycki and Y. Pomeau (eds.), pp. 323--337, Kluwer Academic Publishers, 2002.
• S. Alama, L. Bronsard, ``Analysis of some macroscopic models of high--T_c superconductivity.'' CRM Proceedings and Lecture Notes, AMS, vol. 27, pp.1--16, 2001.
  
• S. Alama, L. Bronsard, T. Giorgi, ``Vortex Structures for an SO(5) Model of High-T_C Superconductivity and Antiferromagnetism''. Proc. Roy. Soc. Edinburgh Sect. A 130 (2000), no. 6, 1183--1215.
  
• S. Alama, J. Berlinsky, L. Bronsard, T. Giorgi, ``Vortices with antiferromagnetic cores in the SO(5) model of superconductivity'', Physical Review B, vol. 60, no. 9, pp. 6901--6906, 1999.
  
• S. Alama, L. Bronsard, T. Giorgi, ``Uniqueness of Symmetric Vortex Solutions in the Ginzburg--Landau Model of Superconductivity,'' Journal of Functional Analysis, vol. 167, pp. 399--424, 1999.
  
• S. Alama, ``Semilinear elliptic equations with sublinear indefinite nonlinearities,'' Advances in Differential Equations, vol. 4, pp. 813--842, 1999.
  
• S. Alama, L. Bronsard, C. Gui, ``Stationary layered solutions in R^2 for an Allen-Cahn system with multiple well potential,'' Calculus of Variations and P.D.E., vol. 5, pp. 359-390, 1997.
  
• S. Alama, G. Tarantello, ``An elliptic equation with nonlinearity indefinite in sign,'' Journal of Functional Analysis, vol. 141, pp. 159-215, 1996.
  
• S. Alama, M. Del Pino, ``Solutions of Elliptic Equations with Indefinite Nonlinearities via Morse Theory and Linking,'' Annales de l'Institut Henri Poincare-- Analyse nonlineaire, vol. 13, pp. 95-115, 1996.
  
• S. Alama, G. Tarantello, ``On the solvability of a semilinear elliptic equation via an associated eigenvalue problem,'' Mathematische Zeitschrift, vol. 221, pp. 467-493, 1996.
  
• S. Alama, G. Tarantello, ``Some remarks on C^1 versus H^ 1 minimizers'', C. R. Acad. Science Paris, serie I, tome 319, pp. 1165-1169, 1994.
• S. Alama, M. Avellaneda, P. Deift, R. Hempel,``On the existence of eigenvalues of a divergence form operator A+\lambda B in a gap of \sigma(B),'' Asymptotic Analysis, vol. 8, pp. 311-344, 1994.
  
• S. Alama, G. Tarantello, ``On Semilinear Elliptic Equations with Indefinite Nonlinearities,'' Calculus of Variations and P.D.E., vol. 1, pp. 439-475, 1993.
  
• S. Alama, YanYan Li, ``On `Multibump' Bound States for Certain Semilinear Elliptic Equations,'' Indiana U. Math. Jour., 41, pp. 983-1026,
  1993.
  
• S. Alama, YanYan Li, ``Existence of Solutions for Semilinear Elliptic Equations with Indefinite Linear Part,'' Jour. of Diff. Eq., vol. 96, pp. 89-115, 1992.
  
• S. Alama, P. Deift, R. Hempel, ``Eigenvalue Branches of the Schrodinger Operator H-\lambda W in a Gap of \sigma(H),'' Comm.
  Math. Phys., vol. 121, pp. 291-321, 1989.

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