selected scholarly activity
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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
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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
- Calculus of Variations. Oberwolfach Reports. 19:2129-2193. 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
- 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
- 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
- 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
- Long-time behavior for competition-diffusion systems via viscosity comparison. Discrete and Continuous Dynamical Systems. Series A. 13:561-581. 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-TC superconductivity and antiferromagnetism. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 130:1183-1215. 2000
- 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
- The Ginzburg–Landau equations of superconductivity and the one-phase Stefan problem. Annales de l'Institut Henri Poincare. Analyse non linéar. 15:371-397. 1998
- A multi-phase Mullins–Sekerka system: matched asymptotic expansions and an implicit time discretisation for the geometric evolution problem. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 128:481-506. 1998
- The singular limit of a vector-valued reaction-diffusion process. Transactions of the American Mathematical Society. 350:4931-4953. 1998
- Slow motion in the gradient theory of phase transitions via energy and spectrum. Calculus of Variations and Partial Differential Equations. 6:39-66. 1997
- Volume-Preserving Mean Curvature Flow as a Limit of a Nonlocal Ginzburg-Landau Equation. SIAM Journal on Mathematical Analysis. 28:769-807. 1997
- 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
- A three-layered minimizer in R2 for a variational problem with a symmetric three-well potential. Communications on Pure and Applied Mathematics. 49:677-715. 1996
- On the Existence of High Multiplicity Interfaces. Mathematical Research Letters. 3:41-50. 1996
- A Numerical Method for Tracking Curve Networks Moving with Curvature Motion. Journal of Computational Physics. 120:66-87. 1995
- On three-phase boundary motion and the singular limit of a vector-valued Ginzburg-Landau equation. Archive for Rational Mechanics and Analysis. 124:355-379. 1993
- On the slow dynamics for the Cahn–Hilliard equation in one space dimension. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 439:669-682. 1992
- Front propagation for reaction-diffusion equations of bistable type. Annales de l'Institut Henri Poincare. Analyse non linéar. 9:479-496. 1992
- Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics. Journal of Differential Equations. 90:211-237. 1991
- On the slowness of phase boundary motion in one space dimension. Communications on Pure and Applied Mathematics. 43:983-997. 1990
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preprints
- Asymptotics for Minimizers of Landau-de Gennes with Magnetic Field and Tangential Anchoring 2024
- On a Divergence Penalized Landau-de Gennes Model 2024
- Spherical Particle in Nematic Liquid Crystal with a Magnetic Field and Planar Anchoring 2024
- A priori $L^\infty-$bound for Ginzburg-Landau energy minimizers with divergence penalization 2024
- An Infinite Double Bubble Theorem 2024
- On a Quaternary Non-Local Isoperimetric Problem 2023
- The standard lens cluster in R^2 uniquely minimizes relative perimeter 2023
- $\Gamma$-Convergence of the Ginzburg-Landau Functional with tangential boundary conditions 2023
- On a Free-Endpoint Isoperimetric Problem in $\mathbb{R}^2$ 2023
- On minimizers of the 2D Ginzburg-Landau energy with tangential anchoring 2023
- Core shells and double bubbles in a weighted nonlocal isoperimetric problem 2022
- Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions 2022
- A nonlocal isoperimetric problem with density perimeter 2020
- Convergence of the TFDW Energy to the Liquid Drop Model 2020
- Saturn ring defect around a spherical particle immersed in nematic liquid crystal 2020
- Periodic Minimizers of a Ternary Non-Local Isoperimetric Problem 2019
- Mass splitting in the Thomas-Fermi-Dirac-von Weizsäcker model with background potential 2019
- Thin Film Liquid Crystals with Oblique Anchoring and Boojums 2019
- Spherical particle in a nematic liquid crystal under an external field: the Saturn ring regime 2017
- Droplet breakup in the liquid drop model with background potential 2017
- Ground-states for the liquid drop and TFDW models with long-range attraction 2017
- Droplet phase in a nonlocal isoperimetric problem under confinement 2016
- Sharp interface limit of an energy modelling nanoparticle-polymer blends 2015
- A Degenerate Isoperimetric Problem and Traveling Waves to a Bi-stable Hamiltonian System 2015
- Minimizers of the Landau-de Gennes energy around a spherical colloid particle 2015
- Vortex structure in p-wave superconductors 2014
- Weak Anchoring for a Two-Dimensional Liquid Crystal 2014
- Domain walls in the coupled Gross-Pitaevskii equations 2013
- On compound vortices in a two-component Ginzburg-Landau functional 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 2010
- Thin film limits for Ginzburg--Landau with strong applied magnetic fields 2009
- Gamma-convergence of 2D Ginzburg-Landau functionals with vortex concentration along curves 2009
- Minimizers of the Lawrence-Doniach energy in the small-coupling limit: finite width samples in a parallel field 2000
- Periodic vortex lattices for the Lawrence-Doniach model of layered superconductors in a parallel field 2000
- Vortex Structures for an SO(5) Model of High-T_C Superconductivity and Antiferromagnetism 1999
- Vortices with antiferromagnetic cores in the SO(5) theory of high temperature superconductivity 1998