Abstract
We study the spreading of characteristics for a class of one-dimensional scalar conservation laws for which the flux function has one point of inflection. It is well known that in the convex case the characteristic speed satisfies a one-sided Lipschitz estimate. Using Dafermos' theory of generalized characteristics, we show that the characteristic speed in the non-convex case satisfies an Hölder estimate. In addition, we give a one-sided Lipschitz estimate with an error term given by the decrease of the total variation of the solution.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 909-925 |
| Number of pages | 17 |
| Journal | Royal Society of Edinburgh - Proceedings A |
| Volume | 131 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2001 |
All Science Journal Classification (ASJC) codes
- General Mathematics
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