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5 papers · 2 filters
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…
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 ,…
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…
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}…
Interaction energies in nematic liquid crystal suspensions
Lia Bronsard, Xavier Lamy, Dominik Stantejsky +1
We establish, as , an asymptotic expansion for the minimal Dirichlet energy of -valued maps outside a finite number of three-dimensional particles of size …