Exact boundary controllability for 1-D quasilinear hyperbolic systems with a vanishing characteristic speed

2009/02/15 by Jean‐Michel Coron, Coron, Jean-Michel, Olivier Glass +3
Engineering · Mathematics · #Stability and Controllability of Differential Equations #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions

paper · doi:10.48550/arxiv.0902.2568

Abstract

The general theory on exact boundary controllability for general first order quasilinear hyperbolic systems requires that the characteristic speeds of system do not vanish. This paper deals with exact boundary controllability, when this is not the case. Some important models are also shown as applications of the main result. The strategy uses the return method, which allows in certain situations to recover non zero characteristic speeds.

Citations

• Formation of singularities in one‐dimensional nonlinear wave propagation

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