| Title | On the spreading of characteristics for non-convex conservation laws |
| Publication Type | Journal Article |
| Year of Publication | 2001 |
| Authors | Jenssen, HK, Sinestrari, C |
| Journal | Proc. Roy. Soc. Edinburgh Sect. A 131 (2001) 909-925 |
| 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. |
| URL | http://hdl.handle.net/1963/3265 |
| DOI | 10.1017/S0308210500001189 |
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