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20142022
most citedEfficient spectral computation of the stationary states of rotating Bose-Einstein condensates by the preconditioned nonlinear conjugate gradient method

118 citations

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5 papers · 1 filter

math.AP2022

Null-controllability of cascade reaction-diffusion systems with odd coupling terms

Kévin Le Balc'h, Takéo Takahashi

In this paper, we consider a nonlinear system of two parabolic equations, with a distributed control in the first equation and an odd coupling term in the second one. We prove that…

math.AP2021★ 20 cited

Stabilization of the linearized water tank system

Jean-Michel Coron, Amaury Hayat, Shengquan Xiang +1

In this article we study the so-called water tank system. In this system, the behavior of water contained in a 1-D tank is modelled by Saint-Venant equations, with a scalar distrib…

math.AP2015

Small moving rigid body into a viscous incompressible fluid

Christophe Lacave, Takéo Takahashi

We consider a single disk moving under the influence of a 2D viscous fluid and we study the asymptotic as the size of the solid tends to zero.If the density of the solid is indepen…

math.AP2014★ 11 cited

Regular propagators of bilinear quantum systems

Thomas Chambrion, Nabile Boussaid, Marco Caponigro

The present analysis deals with the regularity of solutions of bilinear control systems of the type where the state belongs to some complex infinite dimensional…

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…