output
19982026
most citedComputational methods for the dynamics of the nonlinear Schrodinger/Gross-Pitaevskii equations

398 citations

Showing 2019 · math.APShow all

22 papers · 2 filters

math.AP2019★ 2 cited

Blowing-up solutions for second-order critical elliptic equations: the impact of the scalar curvature

Frédéric Robert, Jérôme Vétois

Given a closed manifold , , Olivier Druet proved that a necessary condition for the existence of energy-bounded blowing-up solutions to perturbations of the equat…

math.AP2019★ 8 cited

Boundary value problems for elliptic partial differential equations

Mourad Choulli

This course is intended as an introduction to the analysis of elliptic partial differential equations. The objective is to provide a large overview of the different aspects of elli…

math.AP2019

Existence of contacts for the motion of a rigid body into a viscous incompressible fluid with the Tresca boundary conditions

Matthieu Hillairet, Takéo Takahashi

We consider a fluid-structure interaction system composed by a rigid ball immersed into a viscous incompressible fluid. The motion of the structure satisfies the Newton laws and th…

math.AP2019

A simple proof of a multidimensional Borg-Levinson type theorem

Mourad Choulli

We provide a simple and short proof of a multidimensional Borg-Levinson type theorem. Precisely, we prove that the spectral boundary data determine uniquely the corresponding poten…

math.AP2019

Asymptotic analysis of an optimal control problem for a viscous incompressible fluid with Navier slip boundary conditions

Claudia Gariboldi, Takéo Takahashi

We consider an optimal control problem for the Navier-Stokes system with Navier slip boundary conditions. We denote by the friction coefficient and we analyze the asymptotic be…

math.AP2019★ 1 cited

Stabilization of a rigid body moving in a compressible viscous fluid

Arnab Roy, Takéo Takahashi

We consider the stabilizability of a fluid-structure interaction system where the fluid is viscous and compressible and the structure is a rigid ball. The feedback control of the s…