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math.AP2010

A Bernoulli problem with non constant gradient boundary constraint

Chiara Bianchini

We present in this paper a result about existence and convexity of solutions to a free boundary problem of Bernoulli type, with non constant gradient boundary constraint depending…

math.AP2010★ 18 cited

Detection of a Moving Rigid Solid in a Perfect Fluid

Carlos Conca, Muslim Malik, Alexandre Munnier

In this paper, we consider a moving rigid solid immersed in a potential fluid. The fluid-solid system fills the whole two dimensional space and the fluid is assumed to be at rest a…

math.AP2010

Spectral analysis and stabilization of a chain of serially connected Euler-Bernoulli beams and strings

K. Ammari, D. Mercier, V. Régnier +1

We consider Euler-Bernoulli beams and strings alternatively connected to one another and forming a particular network which is a chain beginning with a string. We study two…

math.AP2010★ 1 cited

Uniform stabilization in weighted Sobolev spaces for the KdV equation posed on the half-line

Ademir Pazoto, Lionel Rosier

Studied here is the large-time behavior of solutions of the Korteweg-de Vries equation posed on the right half-line under the effect of a localized damping. Assuming as in \cite{li…

math.AP2010

Control and Stabilization of the Nonlinear Schroedinger Equation on Rectangles

Lionel Rosier, Bing-Yu Zhang

This paper studies the local exact controllability and the local stabilization of the semilinear Schrödinger equation posed on a product of intervals (). Both internal…