4 papers · 1 filter
Shock Interaction in Plane Symmetry
André Lisibach
We consider the problem of interaction of two oncoming shocks in plane symmetry for a barotropic fluid. We establish a local in time solution after the point of interaction, thereb…
Shock Reflection in Plane Symmetry
André Lisibach
We consider the problem of shock reflection on a solid wall in plane symmetry for a barotropic fluid. We establish a local in time solution after the point of reflection, thereby d…
Characteristic Initial Value Problem for Spherically Symmetric Barotropic Flow
André Lisibach
We study the equations of motion for a barotropic fluid in spherical symmetric flow. Making use of the Riemann invariants we consider the characteristic form of these equations. In…
Shock Development in Spherical Symmetry
Demetrios Christodoulou, André Lisibach
The general problem of shock formation in three space dimensions was solved by D. Christodoulou in his 2007 monograph: 'The Formation of Shocks in 3-dimensional Fluids'. In this wo…