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19932026
most citedAdvanced capabilities for materials modelling with Quantum ESPRESSO

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math.AP2025

Global weak solutions to the Quantum Navier-Stokes system in the whole space with a confining external potential

Jérémy Faupin, Ingrid Lacroix-Violet, Julien Lequeurre

We consider a dissipative quantum fluid on the whole space () confined by an external harmonic potential. The dynamics of the quantum fluid is described by…

math.AP2025

Sharp multiscale control for high order nonlinear equations

Frédéric Robert

We analyze the behavior of families of solutions to the high-order critical equation on a Riemannian manifold ,…

math.AP2025

local exact controllability of some one-dimensional bilinear Schr{ö}dinger equations

Nabile Boussaïd, Alessandro Duca

The local exact controllability of the one-dimensional bilinear Schr{ö}dinger equation with Dirichlet boundary conditions has been extensively studied in subspaces of H 3 since the…

math.AP2025★ 1 cited

Stochastic complex Ginzburg-Landau equation on compact surfaces

Tristan Robert, Younes Zine

We study a stochastic complex Ginzburg-Landau equation (SCGL) on compact surfaces with magnetic Laplacian and polynomial nonlinearity, forced by a space-time white noise. After ren…

math.AP2025★ 1 cited

Boundary regularity for the polyharmonic Dirichlet problem

Antoine Lemenant, Rémy Mougenot

In this paper we prove that any solution of the -polyharmonic Poisson equation in a Reifenberg-flat domain with homogeneous Dirichlet boundary condition, is $\mathscr{C}^{m-1,α}…

math.AP2025

Stability for an inverse flux and an inverse boundary coefficient problems

Mourad Choulli, Shuai Lu, Hiroshi Takase

We establish both Lipschitz and logarithmic stability estimates for an inverse flux problem and subsequently apply these results to an inverse boundary coefficient problem. Further…