Abstract
We investigate the structure of solutions of conservation laws with discontinuous flux under quite general assumption on the flux. We show that any entropy solution admits traces on the discontinuity set of the coefficients and we use this to prove the validity of a generalized Kato inequality for any pair of solutions. Applications to uniqueness of solutions are then given.
Original language | English (US) |
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Pages (from-to) | 961-985 |
Number of pages | 25 |
Journal | Archive for Rational Mechanics and Analysis |
Volume | 221 |
Issue number | 2 |
DOIs | |
State | Published - Aug 1 2016 |
ASJC Scopus subject areas
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering