Shock interaction in sphere symmetry
Abstract
We investigate the interaction of two oncoming shock waves in spherical symmetry for an ideal barotropic fluid. Our research problem is how to establish a local in time solution after the interaction point and determine the state behind the shock waves. This problem is a double free boundary problem, as the position of the shock waves in space time is unknown. Our work is based on a number of previous studies, including Lisibach's, who studied the case of plane symmetry. To solve this problem, we will use an iterative regime to establish a local in time solution.
Fields of Study & Subjects
Cosmology and Gravitation Theories
Black Holes and Theoretical Physics
Navier-Stokes equation solutions
Publication details
- Journal / source
- Communications on Pure & Applied Analysis
- Volume
- 39
- Issue
- 0
- Pages
- 226–295
- Publication date
- 21 September 2026
- Language
- EN