Search Results - "Weinstein, M. I."

A multiscale model of partial melts: 2. Numerical results by Simpson, G., Spiegelman, M., Weinstein, M. I.

“…In the companion paper, equations for partially molten media were derived using two‐scale homogenization theory. This approach begins with a grain‐scale…”
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A multiscale model of partial melts: 1. Effective equations by Simpson, G., Spiegelman, M., Weinstein, M. I.

“…Developing accurate and tractable mathematical models for partially molten systems is critical for understanding the dynamics of magmatic plate boundaries as…”
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Geometric analysis of bifurcation and symmetry breaking in a Gross-Pitaevskii equation by JACKSON, R. K, WEINSTEIN, M. I

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Elliptic Operators with Honeycomb Symmetry: Dirac Points, Edge States and Applications to Photonic Graphene by Lee-Thorp, J. P., Weinstein, M. I., Zhu, Y.

“…Consider electromagnetic waves in two-dimensional honeycomb structured media , whose constitutive laws have the symmetries of a hexagonal tiling of the plane…”
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Defect Modes for Dislocated Periodic Media by Drouot, A., Fefferman, C. L., Weinstein, M. I.

“…We study defect modes in a one-dimensional periodic medium perturbed by an adiabatic dislocation of amplitude δ ≪ 1 . If the periodic background admits a Dirac…”
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Theory of nonlinear dispersive waves and selection of the ground state by SOFFER, A, WEINSTEIN, M. I

“…A theory of time-dependent nonlinear dispersive equations of the Schrödinger or Gross-Pitaevskii and Hartree type is developed. The short, intermediate and…”
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Continuum Schroedinger Operators for Sharply Terminated Graphene-Like Structures by Fefferman, C. L., Weinstein, M. I.

“…We study the single electron model of a semi-infinite graphene sheet interfaced with the vacuum and terminated along a zigzag edge. The model is a Schroedinger…”
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Discrete Solitary Waves in Systems with Nonlocal Interactions and the Peierls–Nabarro Barrier by Jenkinson, M., Weinstein, M. I.

“…We study a class of discrete focusing nonlinear Schrödinger equations (DNLS) with general nonlocal interactions. We prove the existence of onsite and offsite…”
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A Variational Perspective on Cloaking by Anomalous Localized Resonance by Kohn, R. V., Lu, J., Schweizer, B., Weinstein, M. I.

“…A body of literature has developed concerning “cloaking by anomalous localized resonance.” The mathematical heart of the matter involves the behavior of a…”
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Edge states in rationally terminated honeycomb structures by Fefferman, C L, Fliss, S, Weinstein, M I

“…Consider the tight binding model of graphene, sharply terminated along an edge l parallel to a direction of translational symmetry of the underlying period…”
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RESONANCES OF A POTENTIAL WELL WITH A THICK BARRIER by DOBSON, D. C., SANTOSA, F., SHIPMAN, S. P., WEINSTEIN, M. I.

“…This work is motivated by the desire to develop a method that allows for easy and accurate calculation of complex resonances of a one-dimensional Schrödinger's…”
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Edge States in Honeycomb Structures by Fefferman, C. L., Lee-Thorp, J. P., Weinstein, M. I.

“…An edge state is a time-harmonic solution of a conservative wave system, e.g. Schrödinger, Maxwell, which is propagating (plane-wave-like) parallel to, and…”
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Waves in nonlinear lattices: ultrashort optical pulses and Bose-Einstein condensates by Sivan, Y, Fibich, G, Weinstein, M I

“…The nonlinear Schrödinger equation i (partial differential)(z)A(z,x,t)+(inverted Delta)(2)(x,t)A+[1+m(kappax)]|A|2A=0 models the propagation of ultrashort…”
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Scattering and Localization Properties of Highly Oscillatory Potentials by Duchêne, V., Vukićević, I., Weinstein, M. I.

“…We investigate scattering, localization, and dispersive time decay properties for the one‐dimensional Schrödinger equation with a rapidly oscillating and…”
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Multichannel nonlinear scattering for nonintegrable equations by SOFFER, A, WEINSTEIN, M. I

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Metastable states in parametrically excited multimode Hamiltonian systems by KIRR, E, WEINSTEIN, M. I

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Nonlinear Propagation of Light in One-Dimensional Periodic Structures by Goodman, R. H., Weinstein, M. I., Holmes, P. J.

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Resonances of microstructured photonic waveguides and higher order homogenization expansion by Golowich, S.E., Weinstein, M.I.

“…We derive a homogenization expansion approach to obtaining the leaky modes, or scattering resonances, of photonic waveguides whose transverse structures are…”
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Optimization of scattering resonances by Heider, P., Berebichez, D., Kohn, R. V., Weinstein, M. I.

“…The increasing use of micro- and nano-scale components in optical, electrical, and mechanical systems makes the understanding of loss mechanisms and their…”
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Neutrophil-activating peptide (interleukin-8) in colonic mucosa from patients with Crohn's disease by Izzo, R S, Witkon, K, Chen, A I, Hadjiyane, C, Weinstein, M I, Pellecchia, C

“…We considered the role of two neutrophil chemotactic agents (interleukin-8 and leukotriene B4) and of myeloperoxidase (a neutrophil-associated enzyme) in the…”
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