Search Results - "Venakides, Stephanos"
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Chiral magnetic skyrmions across length scales
Published in New journal of physics (01-02-2023)“…Abstract The profile, radius, and energy of chiral skyrmions, found in magnetic materials with the Dzyaloshinskii–Moriya (DM) interaction and easy-axis…”
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Three-dimensional quasi-periodic shifted Green function throughout the spectrum, including Wood anomalies
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (01-11-2017)“…This work, part II in a series, presents an efficient method for evaluation of wave scattering by doubly periodic diffraction gratings at or near what are…”
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Resonance and Bound States in Photonic Crystal Slabs
Published in SIAM journal on applied mathematics (01-01-2003)“…Using boundary-integral projections for time-harmonic electromagnetic (EM) fields, and their numerical implementation, we analyze EM resonance in slabs of…”
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Chiral skyrmions of large radius
Published in Physica. D (01-04-2021)“…We study the structure of an axially symmetric magnetic skyrmion in a ferromagnet with the Dzyaloshinskii–Moriya interaction. We examine the regime of large…”
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Long-time asymptotics of the nonlinear Schrödinger equation shock problem
Published in Communications on pure and applied mathematics (01-09-2007)“…The long‐time asymptotics of two colliding plane waves governed by the focusing nonlinear Schrödinger equation are analyzed via the inverse scattering method…”
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Cell Sheet Morphogenesis: Dorsal Closure in Drosophila melanogaster as a Model System
Published in Annual review of cell and developmental biology (06-10-2017)“…Dorsal closure is a key process during Drosophila morphogenesis that models cell sheet movements in chordates, including neural tube closure, palate formation,…”
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Lossless polariton solitons
Published in Physica. D (15-02-2016)“…Photons and excitons in a semiconductor microcavity interact to form exciton-polariton condensates. These are governed by a nonlinear quantum-mechanical system…”
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Boundary Integral Calculations of Two-Dimensional Electromagnetic Scattering by Photonic Crystal Fabry-Perot Structures
Published in SIAM journal on applied mathematics (2000)“…We compute the transmission properties of two-dimensional (2-D) electromagnetic transverse magnetic (TM) waves that are normally incident on a Fabry-Perot…”
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Nonlinear Steepest Descent Asymptotics for Semiclassical Limit of Integrable Systems: Continuation in the Parameter Space
Published in Communications in mathematical physics (01-04-2010)“…The initial value problem for an integrable system, such as the Nonlinear Schrödinger equation, is solved by subjecting the linear eigenvalue problem arising…”
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Continuous and discontinuous dark solitons in polariton condensates
Published in Physical review. B, Condensed matter and materials physics (09-04-2015)“…Bose-Einstein condensates of exciton-polaritons are described by a Schrodinger system of two equations. Nonlinearity due to exciton interactions gives rise to…”
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Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (01-07-2016)“…This work, part I in a two-part series, presents: (i) a simple and highly efficient algorithm for evaluation of quasi-periodic Green functions, as well as (ii)…”
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12
Three-dimensional quasi-periodic shifted Green function throughout the spectrum, including Wood anomalies
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (01-11-2017)“…This work, part II in a series, presents an efficient method for evaluation of wave scattering by doubly periodic diffraction gratings at or near what are…”
Get full text
Journal Article -
13
Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (01-07-2016)“…This work, part I in a two-part series, presents: (i) a simple and highly efficient algorithm for evaluation of quasi-periodic Green functions, as well as (ii)…”
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Forces for Morphogenesis Investigated with Laser Microsurgery and Quantitative Modeling
Published in Science (American Association for the Advancement of Science) (04-04-2003)“…We investigated the forces that connect the genetic program of development to morphogenesis in Drosophila. We focused on dorsal closure, a powerful model…”
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On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation
Published in Communications on pure and applied mathematics (01-07-2004)“…We calculate the leading‐order term of the solution of the focusing nonlinear (cubic) Schrödinger equation (NLS) in the semiclassical limit for a certain…”
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Semiclassical Limit of the Scattering Transform for the Focusing Nonlinear Schrodinger Equation
Published in International mathematics research notices (01-01-2012)Get full text
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On the long-time limit of semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation: Pure radiation case
Published in Communications on pure and applied mathematics (01-10-2006)“…In a previous paper [13] we calculated the leading‐order term q0(x,t,ε) of the solution of q(x,t,ε), the focusing nonlinear (cubic) Schrödinger (NLS) equation…”
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Chiral magnetic skyrmions across length scales
Published 09-06-2022“…The profile and energy of chiral skyrmions, found in magnetic materials with the Dzyaloshinskii-Moriya interaction, can be approximated by formulae obtained…”
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Determinant Form of the Complex Phase Function of the Steepest Descent Analysis of Riemann–Hilbert Problems and Its Application to the Focusing Nonlinear Schrödinger Equation
Published in International mathematics research notices (01-01-2009)“…We derive a determinant formula for the g-function that plays a key role in the steepest descent asymptotic analysis of the solution of matrix Riemann–Hilbert…”
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