Stanley Alama - McMaster Experts

Affiliations

Faculty of Science, McMaster University
Professor Emeritus, Mathematics and Statistics, Faculty of Science

Research Areas

Scholarly Activity in McMaster Experts

Co-author Network

Scholarly Activity
Teaching
Background
Contact
View All

selected scholarly activity

books
- Singularities in PDE and the Calculus of Variations 2008
conferences
- Symmetric Vortex Solutions in the U(1) and SO(5) Ginzburg-Landau Models of Superconductivity. NONLINEAR PDE'S IN CONDENSED MATTER AND REACTIVE FLOWS. 323-337. 2002
journal articles
- Γ-convergence of the Ginzburg-Landau functional with tangential boundary conditions. Journal of Functional Analysis. 287. 2024
- Core Shells and Double Bubbles in a Weighted Nonlocal Isoperimetric Problem. SIAM Journal on Mathematical Analysis. 56:2357-2394. 2024
- On minimizers of the 2D Ginzburg–Landau energy with tangential anchoring. Nonlinear Analysis, Theory, Methods and Applications. 232:113276-113276. 2023
- Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions. Journal of Nonlinear Science. 33. 2023
- On a Free-Endpoint Isoperimetric Problem in $\mathbb{R}^2$ 2023
- On a quaternary nonlocal isoperimetric problem. Quarterly of Applied Mathematics. 82:97-113. 2023
- Core shells and double bubbles in a weighted nonlocal isoperimetric problem 2022
- Saturn ring defect around a spherical particle immersed in a nematic liquid crystal. Calculus of Variations and Partial Differential Equations. 60. 2021
- A nonlocal isoperimetric problem with density perimeter. Calculus of Variations and Partial Differential Equations. 60. 2021
- Convergence of the TFDW Energy to the Liquid Drop Model. SIAM Journal on Mathematical Analysis. 53:3493-3519. 2021
- Periodic minimizers of a ternary non-local isoperimetric problem. Indiana University Mathematics Journal. 70:2557-2601. 2021
- Thin film liquid crystals with oblique anchoring and boojums. Annales de l'Institut Henri Poincare. Analyse non linéar. 37:817-853. 2020
- Inside the Light Boojums: a Journey to the Land of Boundary Defects. Analysis in Theory and Applications. 36:128-160. 2020
- Mass splitting in the Thomas–Fermi–Dirac–von Weizsäcker model with background potential. Journal of Mathematical Physics. 61. 2020
- Droplet phase in a nonlocal isoperimetric problem under confinement. Communications on Pure and Applied Analysis. 19:175-202. 2020
- Droplet breakup in the liquid drop model with background potential. Communications in Contemporary Mathematics. 21:1850022-1850022. 2019
- Spherical Particle in Nematic Liquid Crystal Under an External Field: The Saturn Ring Regime. Journal of Nonlinear Science. 28:1443-1465. 2018
- Ground-states for the liquid drop and TFDW models with long-range attraction. Journal of Mathematical Physics. 58. 2017
- A Degenerate Isoperimetric Problem and Traveling Waves to a Bistable Hamiltonian System. Communications on Pure and Applied Mathematics. 70:340-377. 2017
- Minimizers of the Landau–de Gennes Energy Around a Spherical Colloid Particle. Archive for Rational Mechanics and Analysis. 222:427-450. 2016
- Sharp interface limit of an energy modelling nanoparticle-polymer blends. Interfaces and Free Boundaries. 18:263-290. 2016
- Analytical description of the Saturn-ring defect in nematic colloids. Physical Review E. 93:012705. 2016
- Vortex structure in p-wave superconductors. Journal of Mathematical Physics. 56. 2015
- Weak anchoring for a two-dimensional liquid crystal. Nonlinear Analysis, Theory, Methods and Applications. 119:74-97. 2015
- Domain Walls in the Coupled Gross–Pitaevskii Equations. Archive for Rational Mechanics and Analysis. 215:579-610. 2015
- Stability of symmetric vortices for two-component Ginzburg–Landau systems. Journal of Functional Analysis. 267:1751-1777. 2014
- Symmetric vortices for two-component Ginzburg–Landau systems. Journal of Differential Equations. 255:3564-3591. 2013
- Singular limits for thin film superconductors in strong magnetic fields. Asymptotic Analysis. 83:127-156. 2013
- On the Lawrence–Doniach model of superconductivity: magnetic fields parallel to the axes. Journal of the European Mathematical Society (Print). 14:1825-1857. 2012
- Singular Limits for Thin Film Superconductors in Strong Magnetic Fields - Maan Field Model for Thin Films 2012
- Minimizers of the Lawrence–Doniach Functional with Oblique Magnetic Fields. Communications in Mathematical Physics. 310:237-266. 2012
- On compound vortices in a two-component Ginzburg--Landau functional. Indiana University Mathematics Journal. 61:1861-1909. 2012
- Γ-Convergence of 2D Ginzburg-Landau functionals with vortex concentration along curves. Journal d'Analyse Mathematique. 114:341-391. 2011
- Thin Film Limits for Ginzburg–Landau with Strong Applied Magnetic Fields. SIAM Journal on Mathematical Analysis. 42:97-124. 2010
- Periodic minimizers of the anisotropic Ginzburg–Landau model. Calculus of Variations and Partial Differential Equations. 36:399-417. 2009
- Compactly supported solutions to stationary degenerate diffusion equations. Journal of Differential Equations. 246:3214-3240. 2009
- On the structure of fractional degree vortices in a spinor Ginzburg–Landau model. Journal of Functional Analysis. 256:1118-1136. 2009
- Vortices for a Rotating Toroidal Bose–Einstein Condensate. Archive for Rational Mechanics and Analysis. 187:481-522. 2008
- On the shape of interlayer vortices in the Lawrence--Doniach model. Transactions of the American Mathematical Society. 360:1-35. 2008
- FRACTIONAL DEGREE VORTICES FOR A SPINOR GINZBURG–LANDAU MODEL. Communications in Contemporary Mathematics. 08:355-380. 2006
- On the Ginzburg–Landau model of a superconducting ball in a uniform field. Annales de l'Institut Henri Poincare. Analyse non linéar. 23:237-267. 2006
- Vortices and pinning effects for the Ginzburg-Landau model in multiply connected domains. Communications on Pure and Applied Mathematics. 59:36-70. 2006
- Giant Vortex and the Breakdown of Strong Pinning in a Rotating Bose-Einstein Condensate. Archive for Rational Mechanics and Analysis. 178:247-286. 2005
- Pinning effects and their breakdown for a Ginzburg–Landau model with normal inclusions. Journal of Mathematical Physics. 46. 2005
- Vortices and the lower critical field for a Ginzburg–Landau model of superconductors with ferromagnetic interactions. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 135:223-252. 2005
- ON THE SECOND CRITICAL FIELD FOR A GINZBURG–LANDAU MODEL WITH FERROMAGNETIC INTERACTIONS. Reviews in Mathematical Physics. 16:147-174. 2004
- Des vortex fractionnaires pour un modèle Ginzburg–Landau spineur. Comptes Rendus Mathematique. 337:243-247. 2003
- Minimizers of the Lawrence–Doniach energy in the small-coupling limit: finite width samples in a parallel field. Annales de l'Institut Henri Poincare. Analyse non linéar. 19:281-312. 2002
- PERIODIC VORTEX LATTICES FOR THE LAWRENCE–DONIACH MODEL OF LAYERED SUPERCONDUCTORS IN A PARALLEL FIELD. Communications in Contemporary Mathematics. 03:457-494. 2001
- Vortex structures for an SO(5) model of high-T_C superconductivity and antiferromagnetism. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 130:1183-1215. 2000
- Semilinear elliptic equations with sublinear indefinite nonlinearities. Advances in Differential Equations. 4:813-842. 1999
- Uniqueness of Symmetric Vortex Solutions in the Ginzburg–Landau Model of Superconductivity. Journal of Functional Analysis. 167:399-424. 1999
- Vortices with antiferromagnetic cores in the SO(5) model of high-temperature superconductivity. Physical review B (PRB). 60:6901-6906. 1999
- Stationary layered solutions in ${\Bbb R}^2$ for an Allen-Cahn system with multiple well potential. Calculus of Variations and Partial Differential Equations. 5:359-390. 1997
- Elliptic Problems with Nonlinearities Indefinite in Sign. Journal of Functional Analysis. 141:159-215. 1996
- On the solvability of a semilinear elliptic equation via an associated eigenvalue problem. Mathematische Zeitschrift. 221:467-493. 1996
- Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking. Annales de l'Institut Henri Poincare. Analyse non linéar. 13:95-115. 1996
- On the solvability of a semilinear elliptic equation via an associated eigenvalue problem. Mathematische Zeitschrift. 221:467-493. 1996
- On the solvability of a semilinear elliptic equation via an associated eigenvalue problem. Mathematische Zeitschrift. 221:467-493. 1996
- SOME REMARKS ON C(1) VERSUS H(1) MINIMIZERS. Comptes Rendus Mathematique. 319:1165-1169. 1994
- On the existence of eigenvalues of a divergence-form operator A+λB in a gap of σ(A). Asymptotic Analysis. 8:311-344. 1994
- On semilinear elliptic equations with indefinite nonlinearities. Calculus of Variations and Partial Differential Equations. 1:439-475. 1993
- Oligonucleotide degradation contributes to resistance to antisense compounds. Anti-Cancer Drugs. 4:197-200. 1993
- Existence of solutions for semilinear elliptic equations with indefinite linear part. Journal of Differential Equations. 96:89-115. 1992
- . Indiana University Mathematics Journal. 41:983-983. 1992
- Eigenvalue branches of the Schr�dinger operatorH??W in a gap of ?(H). Communications in Mathematical Physics. 121:291-321. 1989
preprints