We discuss Serre's restricted formulation of the notion of a measure‐valued solution, for a 2 × 2 system whose characteristic fields are both linearly degenerate. We prove existence, uniqueness, and regularity results for this formulation. As an application, we prove the convergence of a particle method when the high‐frequency component of the exact solution is not resolved by the computational grid.
|Original language||English (US)|
|Number of pages||20|
|Journal||Communications on Pure and Applied Mathematics|
|State||Published - Jan 1 1991|
All Science Journal Classification (ASJC) codes
- Applied Mathematics