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5 papers · 2 filters
Optimal scenario for road evacuation in an urban environment
Mickael Bestard, Emmanuel Franck, Laurent Navoret +1
How to free a road from vehicle traffic as efficiently as possible and in a given time, in order to allow for example the passage of emergency vehicles? We are interested in this q…
About the Blaschke-Santalo diagram of area, perimeter and moment of inertia
Raphael Gastaldello, Antoine Henrot, Ilaria Lucardesi
We study the Blaschke-Santaló diagram associated to the area, the perimeter, and the moment of inertia. We work in dimension 2, under two assumptions on the shapes: convexity and t…
Stable domains for higher order elliptic operators
Jean-François Grosjean, Antoine Lemenant, Rémy Mougenot
This paper is devoted to prove that any domain satisfying a capacity condition of first order is automatically stable for all and ,…
Bilinear control of evolution equations with unbounded lower order terms. Application to the Fokker-Planck equation
Fatiha Alabau-Boussouira, Piermarco Cannarsa, Cristina Urbani
We study the exact controllability of the evolution equation \begin{equation*} u'(t)+Au(t)+p(t)Bu(t)=0 \end{equation*} where is a nonnegative self-adjoint operator on a Hilbert…
Event-triggered boundary damping of a linear wave equation
Lucie Baudouin, Swann Marx, Sophie Tarbouriech +1
This article presents an analysis of the stabilization of a multidimensional partial differential wave equation under a well designed event-triggering mechanism that samples the bo…