Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system

Academic Article
Publication Date:
2017
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.
Iris type:
01.01 Articolo in rivista
Keywords:
Transport and continuity equations with non-Lipschitz velocity field; Systems of conservation laws; Initial- boundary value problems; Keyfitz and Kranzer system; Nearly incompressible vector fields; Divergence-measure vector fields.
List of contributors:
Authors of the University:
Handle:
https://iris.cnr.it/handle/20.500.14243/326033
Published in:
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
Journal