Hoài-Minh Nguyên

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Publications associées (57)

Negative index materials and their applications: recent mathematics progress

Hoài-Minh Nguyên

2017

Some remarks on rearrangement for nonlocal functionals

Hoài-Minh Nguyên

We prove that a nonlocal functional approximating the standard Dirichlet p-norm fails to decrease under two-point rearrangement. Furthermore, we get other properties related to this functional such as decay and compactness. ...

2017

Logarithmic Sobolev inequality revisited

Hoài-Minh Nguyên

We provide a new characterization of the logarithmic Sobolev inequality. ...

Elsevier2017

Superlensing using hyperbolic metamaterials: the scalar case

Hoài-Minh Nguyên, Eric Bonnetier

2017

Cloaking using complementary media in the quasistatic regime

Hoài-Minh Nguyên

Cloaking using complementary media was suggested by Lai et al. in [8]. The study of this problem faces two difficulties. Firstly, this problem is unstable since the equations describing the phenomenon have sign changing coefficients, hence the ellipticity ...

2016

Two subtle convex nonlocal approximations of the BV-norm

Hoài-Minh Nguyên

Inspired by the BBM formula and by work of G. Leoni and D. Spector, we analyze the asymptotic behavior of two sequences of convex nonlocal functionals (Psi(n)(u)) and (Phi(n)(u)) which converge formally to the BV-norm of u. We show that pointwise convergen ...

Elsevier2016

The BBM formula revisited

Hoài-Minh Nguyên

In this paper, we revise the BBM formula due to J. Bourgain, H. Brezis, and P. Mironescu in [1] ...

European Mathematical Soc2016

Approximate cloaking for the full wave equation via change of variables: The Drude-Lorentz model

Hoài-Minh Nguyên

This paper concerns approximate cloaking by mapping for a full, but scalar wave equation, when one allows for physically relevant frequency dependence of the material properties of the cloak. The paper is a natural continuation of [20], but here we employ ...

Elsevier2016

Limiting absorption principle and well-posedness for the Helmholtz equation with sign changing coefficients

Hoài-Minh Nguyên

In this paper, we investigate the limiting absorption principle associated to and the well-posedness of the Helmholtz equations with sign changing coefficients which are used to model negative index materials. Using the reflecting technique introduced in [ ...

Elsevier2016

Localized and Complete Resonance in Plasmonic Structures

Hoài-Minh Nguyên

This paper studies a possible connection between the way the time averaged electromagnetic power dissipated into heat blows up and the anomalous localized resonance in plasmonic structures. We show that there is a setting in which the localized resonance t ...

EDP Sciences2015

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Elsevier2017

European Mathematical Soc2016