Title | Unique solutions of 2x2 conservation laws with large data |
Publication Type | Journal Article |
Year of Publication | 1995 |
Authors | Bressan, A, Colombo, RM |
Journal | Indiana Univ. Math. J. 44 (1995), no. 3, 677-725 |
Abstract | For a 2x2 hyperbolic system of conservation laws, we first consider a Riemann problem with arbitrarily large data. A stability assumption is introduced, which yields the existence of a Lipschitz semigroup of solutions, defined on a domain containing all suitably small BV perturbations of the Riemann data. We then establish a uniqueness result for large BV solutions, valid within the same class of functions where a local existence theorem can be proved. |
URL | http://hdl.handle.net/1963/975 |
DOI | 10.1512/iumj.1995.44.2004 |
Research Group: