Shadow waves: Entropies and interactions for delta and singular shocks
The author considers the conservation law \[ \partial_tf(U)+\partial_xg(U) = 0 \] with \(U:\mathbb R^2_+\rightarrow\mathbb R^n\), \(f,g:\mathbb R^n\rightarrow\mathbb R^n\). The focus is on the delta and singular shock solutions of the Riemann problem, their entropy admissibility conditions, and their interaction. The system is represented by piecewise constant functions called shadow waves. An example of three-dimensional pressureless gas dynamics is considered.
three-dimensional pressureless gas dynamics
scientific article; zbMATH DE number 5782731