2021/12/31 by André Lisibach, Lisibach, André · 1 citation
Earth and Planetary Sciences · Environmental Science · Mathematics · #Analysis of PDEs (math.AP) #Arctic and Antarctic ice dynamics #Differential Equations and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Methane Hydrates and Related Phenomena
paper · pdf · doi:10.48550/arxiv.2112.15266
openalex publication_date 2021/12/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 determining the state behind the reflected shock. The location of the reflected shock in space time being unknown the problem constitutes a free boundary problem. Furthermore, the quantity describing the thermodynamic state of the fluid along the wall being also unknown, complete data for the problem is only given in a single point, the reflection point.