Search Results - "Chenn, Ilias"

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  1. 1

    On Derivation of the Poisson–Boltzmann Equation by Chenn, Ilias, Sigal, I. M.

    Published in Journal of statistical physics (01-09-2020)
    “…Starting from the microscopic reduced Hartree–Fock equation, we derive the macroscopic linearized Poisson–Boltzmann equation for the electrostatic potential…”
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    Journal Article
  2. 2

    On an effective equation of the reduced Hartree-Fock theory by Chenn, Ilias, Mayboroda, Svitlana, Wang, Wei, Zhang, Shiwen

    Published in Advanced nonlinear studies (27-06-2023)
    “…We show that there is a one-to-one correspondence between solutions to the Poisson-landscape equations and the reduced Hartree-Fock equations in the…”
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    Journal Article
  3. 3

    On the reduced Hartree-Fock equations with a small Anderson type background charge distribution by Chenn, Ilias, Zhang, Shiwen

    Published in Journal of functional analysis (15-12-2022)
    “…We demonstrate that the reduced Hartree-Fock equation (REHF) with a small Anderson type background charge distribution has an unique stationary solution by…”
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    Journal Article
  4. 4

    Vortex lattices and the Bogoliubov-de Gennes equations by Chenn, Ilias (Li), Sigal, I.M.

    Published in Advances in mathematics (New York. 1965) (26-03-2021)
    “…We consider the Bogoliubov-de Gennes equations giving an equivalent formulation of the BCS theory of superconductivity. We are interested in static solutions…”
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    Journal Article
  5. 5

    On Abrikosov Lattice Solutions of the Ginzburg-Landau Equations by Chenn, Ilias, Smyrnelis, Panayotis, Sigal, Israel Michael

    “…We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations of superconductivity, with multiple magnetic flux quanta per…”
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    Journal Article
  6. 6

    The Effective Dynamics of the Volume Preserving Mean Curvature Flow by Chenn, Ilias, Fournodavlos, G., Sigal, I. M.

    Published in Journal of statistical physics (01-07-2018)
    “…We consider the dynamics of small closed submanifolds (‘bubbles’) under the volume preserving mean curvature flow. We construct a map from ( n + 1…”
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    Journal Article
  7. 7

    Macroscopic Electrostatics at Positive Temperature from the Density Functional Theory by Chen, Li Ilias Chenn

    Published 01-01-2019
    “…The purpose of this thesis is to study local perturbations of equilibrium crystalline states of the density functional theory (DFT) at positive temperature…”
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    Dissertation
  8. 8

    On the Reduced Hartree-Fock Equations with a Small Anderson Type Background Charge Distribution by Chenn, Ilias, Zhang, Shiwen

    Published 01-05-2021
    “…We demonstrate that the reduced Hartree-Fock equation (REHF) with a small Anderson type background charge distribution has an unique stationary solution by…”
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    Journal Article
  9. 9

    Approximating the ground state eigenvalue via the effective potential by Chenn, Ilias, Wang, Wei, Zhang, Shiwen

    Published 01-07-2022
    “…In this paper, we study 1-d random Schr\"odinger operators on a finite interval with Dirichlet boundary conditions. We are interested in the approximation of…”
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    Journal Article
  10. 10

    On a Novel Effective Equation of the Reduced Hartree-Fock Theory by Chenn, Ilias, Mayboroda, Svitlana, Wang, Wei, Zhang, Shiwen

    Published 25-06-2021
    “…We show that there is an one-to-one correspondence between solutions to the Poisson-Landscape equations and the reduced Hartree-Fock equations in the…”
    Get full text
    Journal Article