2001/08/31 by Alberto Bressan, Bressan, Alberto, Giuseppe Maria Coclite +1
Engineering · Mathematics · #Advanced Mathematical Physics Problems #FOS: Mathematics #Navier-Stokes equation solutions #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations #math.OC
paper · pdf · doi:10.48550/arxiv.math/0108224
16 pages, 5figures
arxiv created 2001/08/31 · openalex publication_date 2001/08/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The paper is concerned with the boundary controllability of entropy weak solutions to hyperbolic systems of conservation laws. We prove a general result on the asymptotic stabilization of a system near a constant state. On the other hand, we give an example showing that exact controllability in finite time cannot be achieved, in general.