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Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 10/2016, Volume 222, Issue 1, pp. 427 - 450
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 11/2015, Volume 56, Issue 11
We study vortices in p-wave superconductors in a Ginzburg-Landau setting. The state of the superconductor is described by a pair of complex wave functions, and... 
CRITICAL-FIELD | SR2RUO4 | VORTICES | GINZBURG-LANDAU EQUATION | FERROMAGNETIC INTERACTIONS | MODEL | PHYSICS, MATHEMATICAL | LATTICE | Potential energy | Domains | Nonlinear equations | Partial differential equations | Asymptotic properties | Mathematical analysis | Vortices | Differential equations | Wave functions | Analysis of PDEs | Mathematics
Journal Article
Journal of Nonlinear Science, ISSN 0938-8974, 8/2018, Volume 28, Issue 4, pp. 1443 - 1465
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 11/2015, Volume 56, Issue 11, p. 1
  We study vortices in p-wave superconductors in a Ginzburg-Landau setting. The state of the superconductor is described by a pair of complex wave functions,... 
Qualitative research | Superconductors | Partial differential equations | Vortices | Symmetry
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 10/2017, Volume 58, Issue 10, p. 1
We prove that both the liquid drop model in R3 with an attractive background nucleus and the Thomas-Fermi-Dirac-von Weizsacker (TFDW) model attain their... 
Molecules | Attraction | Decay rate | Atoms & subatomic particles | Mathematical models
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 10/2017, Volume 58, Issue 10
We prove that both the liquid drop model in R3 with an attractive background nucleus and theThomas-Fermi-Dirac-von Weizsäcker (TFDW) model attain their... 
Attraction | Decay rate
Journal Article
Physical Review E, ISSN 2470-0045, 01/2016, Volume 93, Issue 1, p. 012705
We derive an analytical formula for the Saturn-ring configuration around a small colloidal particle suspended in nematic liquid crystal. In particular we... 
TOPOLOGICAL COLLOIDS | DISPERSIONS | PARTICLES | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | LIQUID-CRYSTALS
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 10/2017, Volume 58, Issue 10, p. 103503
We prove that both the liquid drop model in R 3 with an attractive background nucleus and the Thomas-Fermi-Dirac-von Weizsäcker (TFDW) model attain their... 
ATOMS | THOMAS-FERMI | MOND | PHYSICS, MATHEMATICAL
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 2/2015, Volume 215, Issue 2, pp. 579 - 610
Journal Article
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, ISSN 1534-0392, 01/2020, Volume 19, Issue 1, pp. 175 - 202
We address small volume-fraction asymptotic properties of a non-local isoperimetric functional with a confinement term, derived as the sharp interface limit of... 
MATHEMATICS, APPLIED | NONEXISTENCE | PARTICLES | LIMIT | COPOLYMERS | uniformly charged liquid | MATHEMATICS | phase separation | confinement | MINIMALITY | self-assembly of diblock copolymers | Gamma-convergence | Nonlocal isoperimetric problem
Journal Article
Communications in Contemporary Mathematics, ISSN 0219-1997, 05/2019, Volume 21, Issue 3, p. 1850022
We consider a variant of Gamow’s liquid drop model, with a general repulsive Riesz kernel and a long-range attractive background potential with weight Z . The... 
background potential | droplet breakup | Liquid drop model | generalized minimizer | concentration-compactness method | nonlocal isoperimetric problem | MATHEMATICS, APPLIED | VOLUME-FRACTION LIMIT | NONEXISTENCE | MATHEMATICS | MINIMALITY | MOND | ISOPERIMETRIC PROBLEM
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 11/2013, Volume 255, Issue 10, pp. 3564 - 3591
We study Ginzburg–Landau equations for a complex vector order parameter . We consider symmetric vortex solutions in the plane , , with given degrees , and... 
Elliptic equations and systems | Calculus of variations | Vortices | Superconductivity | MATHEMATICS | VORTEX SOLUTIONS | EQUATIONS | FRACTIONAL DEGREE VORTICES | MODEL
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 09/2014, Volume 267, Issue 6, pp. 1751 - 1777
We study Ginzburg–Landau equations for a complex vector order parameter . We consider the Dirichlet problem in the disk in with a symmetric, degree-one... 
Elliptic equations and systems | Calculus of variations | Vortices | Superconductivity | MATHEMATICS | EQUATION
Journal Article
Communications on Pure and Applied Mathematics, ISSN 0010-3640, 01/2006, Volume 59, Issue 1, pp. 36 - 70
We consider the two‐dimensional Ginzburg‐Landau model with magnetic field for a superconductor with a multiply connected cross section. We study energy... 
Journal Article
Communications on Pure and Applied Mathematics, ISSN 0010-3640, 02/2017, Volume 70, Issue 2, pp. 340 - 377
We analyze a nonstandard isoperimetric problem in the plane associated with a metric having degenerate conformal factor at two points. Under certain... 
DENSITY | MATHEMATICS | EQUATIONS | MATHEMATICS, APPLIED | DIFFUSION-SYSTEMS | NONCONVEX VARIATIONAL-PROBLEMS
Journal Article
Indiana University Mathematics Journal, ISSN 0022-2518, 1/2012, Volume 61, Issue 5, pp. 1861 - 1909
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 11/2005, Volume 178, Issue 2, pp. 247 - 286
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 06/2015, Volume 119, pp. 74 - 97
We study the weak anchoring condition for nematic liquid crystals in the context of the Landau–De Gennes model. We restrict our attention to two dimensional... 
Liquid crystals | Landau–de Gennes | Landau-de Gennes | MATHEMATICS | MATHEMATICS, APPLIED | ENERGY | DEFECTS | LOWER BOUNDS | MINIMIZATION | Crystal defects | Mathematical models | Droplets | Boundaries | Two dimensional | Nematic | Anchoring
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 2/2012, Volume 310, Issue 1, pp. 237 - 266
We study minimizers of the Lawrence–Doniach energy, which describes equilibrium states of superconductors with layered structure, assuming Floquet-periodic... 
Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | LAYERED SUPERCONDUCTORS | PHYSICS, MATHEMATICAL | VORTICES | Superconductors | Magnetic fields | Anisotropy | Analysis | Classical Physics
Journal Article
Interfaces and Free Boundaries, ISSN 1463-9963, 2016, Volume 18, Issue 2, pp. 263 - 289
Journal Article
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