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19932026
most citedAdvanced capabilities for materials modelling with Quantum ESPRESSO

7.7k citations

Showing 2014 · math.APShow all

11 papers · 2 filters

math.AP2014★ 27 cited

On the Hardy-Schrödinger operator with a boundary singularity

Nassif Ghoussoub, Frédéric Robert

We investigate the Hardy-Schrödinger operator on domains $Ω\subset\rn$, whose boundary contain the singularity . The situation is quite different from the…

math.AP2014

Large time behavior for the fast diffusion equation with critical absorption

Said Benachour, Razvan Gabriel Iagar, Philippe Laurencot

We study the large time behavior of nonnegative solutions to the Cauchy problem for a fast diffusion equation with critical zero order absorption $$ \partial_{t}u-Δu^m+u^q=0 \quad…

math.AP2014★ 3 cited

WENO schemes applied to the quasi-relativistic Vlasov--Maxwell model for laser-plasma interaction

Francesco Vecil, Pep Mulet, Simon Labrunie

In this paper we focus on WENO-based methods for the simulation of the 1D Quasi-Relativistic Vlasov--Maxwell (QRVM) model used to describe how a laser wave interacts with and heats…

math.AP2014★ 1 cited

Approximate controllability of the Schrödinger Equation with a polarizability term in higher Sobolev norms

Nabile Boussaid, Marco Caponigro, Thomas Chambrion

This analysis is concerned with the controllability of quantum systems in the case where the standard dipolar approximation, involving the permanent dipole moment of the system, is…

math.AP2014

Efficient finite dimensional approximations for the bilinear Schrodinger equation with bounded variation controls

Nabile Boussaid, Marco Caponigro, Thomas Chambrion

This the text of a proceeding accepted for the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014). We present some results of an ongoing resear…

math.AP2014★ 12 cited

Scalar boundary value problems on junctions of thin rods and plates. I. Asymptotic analysis and error estimates

R. Bunoiu, G. Cardone, S. A. Nazarov

We derive asymptotic formulas for the solutions of the mixed boundary value problem for the Poisson equation on the union of a thin cylindrical plate and several thin cylindrical r…

math.AP2014★ 2 cited

Logarithmic stability in determining two coefficients in a dissipative wave equation. Extensions to clamped Euler-Bernoulli beam and heat equations

Kaïs Ammari, Mourad Choulli

We are concerned with the inverse problem of determining both the potential and the damping coefficient in a dissipative wave equation from boundary measurements. We establish stab…

math.AP2014★ 29 cited

Point vortex dynamics as zero-radius limit of the motion of a rigid body in an irrotational fluid

Olivier Glass, Alexandre Munnier, Franck Sueur

The point vortex system is usually considered as an idealized model where the vorticity of an ideal incompressible two-dimensional fluid is concentrated in a finite number of movin…

math.AP2014★ 54 cited

On the Fattorini Criterion for Approximate Controllability and Stabilizability of Parabolic Systems

Mehdi Badra, Takéo Takahashi

In this paper, we consider the well-known Fattorini's criterion for approximate controllability of infinite dimensional linear systems of type . We precise the result pr…

math.AP2014★ 1 cited

Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold

Frédéric Robert, Jérôme Vétois

We construct blowing-up sign-changing solutions to some nonlinear critical equations by glueing a standard bubble to a degenerate function. We develop a method based on analyticity…

math.AP2014★ 13 cited

Remarks on two fourth order elliptic problems in whole space

Baishun Lai, Dong Ye

We are interested in entire solutions for the semilinear biharmonic equation in , where or . For the exponential case, we prove tha…