Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system
arXiv:1610.00188 · doi:10.1007/s00033-017-0883-8
Abstract
We establish existence and uniqueness results for initial boundary value problems with nearly incompressible vector fields. We then apply our results to establish well-posedness of the initial-boundary value problem for the Keyfitz and Kranzer system of conservation laws in several space dimensions.