output
19932026
most citedAdvanced capabilities for materials modelling with Quantum ESPRESSO

7.7k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2024 · math.APShow all

17 papers · 2 filters

math.AP2024

Localization of bubbling for high order nonlinear equations

Frédéric Robert

We analyze the asymptotic pointwise behavior of families of solutions to the high-order critical equation that…

math.AP2024

Cancellations for dispersive PDEs with random initial data

Yvain Bruned, Leonardo Tolomeo

In this work, we provide a combinatorial formalism for dealing with the cancellations that have appeared recently in the context of dispersive PDEs with random initial data. The ma…

math.AP2024

Regularization by noise for some strongly non-resonant modulated dispersive PDEs

Tristan Robert

In this work, we pursue our investigations on the Cauchy problem for a class of dispersive PDEs where a rough time coefficient is present in front of the dispersion. We show that i…

math.AP2024

Remarks on nonlinear dispersive PDEs with rough dispersion management

Tristan Robert

In this work, we study the Cauchy problem for a class of dispersive PDEs where a rough time coefficient is present in front of the dispersion. Under minimal assumptions on the occu…

math.AP2024

Discretizing the Fokker-Planck equation with second-order accuracy: a dissipation driven approach

Clément Cancès, Léonard Monsaingeon, Andrea Natale

We propose a fully discrete finite volume scheme for the standard Fokker-Planck equation. The space discretization relies on the well-known square-root approximation, which falls i…

math.AP2024

Asymptotics for Minimizers of Landau-de Gennes with a Magnetic Field and Tangential Anchoring

Lia Bronsard, Dean Louizos, Dominik Stantejsky

In this article we prove existence of minimizers of the Landau-de Gennes energy for liquid crystals with homogeneous external magnetic field and strong uniaxial planar anchoring. N…

math.AP2024

Networks of sign-changing metamaterials: existence and spectral properties

Kaïs Ammari, Eric Bonnetier, Alessandro Duca

We study composite assemblages of dielectrics and metamaterials with respectively positive and negative material parameters. In the continuum case, for a scalar equation, such medi…

math.AP2024

Critical dimensions for polyharmonic operators: The Pucci-Serrin conjecture for solutions of bounded energy

Frédéric Robert

We prove a Pucci-Serrin conjecture on critical dimensions under a uniform bound on the energy. The method is based on the analysis of the Green's function of polyharmonic operators…

math.AP2024

An inverse hyperbolic obstacle problem

Mourad Choulli, Hiroshi Takase

We establish Hölder stability of an inverse hyperbolic obstacle problem. Mainly, we study the problem of reconstructing an unknown function defined on the boundary of the obstacle…

math.AP2024

Small-time estimates for a real moment problem with two-term Weyl spectral law

Rémi Buffe, Alessandro Duca

In this work, we first study the solvability of moment problems involving real exponentials and provide explicit estimates of the associated control cost. The result holds when the…

math.AP2024★ 2 cited

One-bubble nodal blow-up for asymptotically critical stationary Schrödinger-type equations

Bruno Premoselli, Frédéric Robert

We investigate in this work families of sign-changing blowing-up solutions of asymptotically critical stationary nonlinear Schrödinger equations of the following type…

math.AP2024★ 4 cited

Lipschitz stability for an elliptic inverse problem with two measurements

Mourad Choulli, Hiroshi Takase

We consider the problem of determining the unknown boundary values of a solution of an elliptic equation outside a bounded open set from the knowledge of the values of this sol…

math.AP2024

On the stability of the Abrikosov lattice in the Lowest Landau Level

Pierre Germain, Valentin Schwinte, Laurent Thomann

We study the Lowest Landau Level equation set on simply and doubly-periodic domains (in other words, rectangles and strips with appropriate boundary conditions). To begin with, we…

math.AP2024

The biharmonic optimal support problem

Antoine Lemenant, Mohammad Reza Pakzad

We establish a -convergence result for of a thin nonlinearly elastic 3D-plate of thickness which is assumed to be glued to a support region in the 2D-plane $x_3=0…

math.AP2024

Anderson stochastic quantization equation

Hugo Eulry, Antoine Mouzard, Tristan Robert

We study the parabolic defocusing stochastic quantization equation with both mutliplicative spatial white noise and an independant space-time white noise forcing, on compact surfac…

math.AP2024

Sticky-reflecting diffusion as a Wasserstein gradient flow

Jean-Baptiste Casteras, Léonard Monsaingeon, Filippo Santambrogio

In this paper we identify the Fokker-Planck equation for (reflected) Sticky Brownian Motion as a Wasserstein gradient flow in the space of probability measures. The driving functio…

math.AP2024

Is the Faber-Krahn inequality true for the Stokes operator?

Antoine Henrot, Idriss Mazari-Fouquer, Yannick Privat

The goal of this paper is to investigate the minimisation of the first eigenvalue of the (vectorial) incompressible Dirichlet-Stokes operator. After providing an existence result,…