Retour Séminaire de EDP - Physique Mathématique
Corrugation instability and bifurcation of slow viscous MHD shocks in a duct
Salle 2
le 05 mai 2015 à 11:00
abstract: We describe recent analytical and numerical studies of viscous and inviscid instability/bifurcation of slow (i.e., intermediate family) Lax-type MHD shocks in a duct, with standard polytropic equation of state. Our results indicate that planar slow shocks are typically unstable, the actual form of propagation in these modes being a nonplanar ``corrugated'' wave moving with the same speed. This study is one of the first numerical studies carried out for multi-dimensional viscous stability, a task that has only recently become possible, and which involves a number of difficulties not present in the one-dimensional case.