Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system
Analysis of PDEs
2017-11-15 v1
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.
Cite
@article{arxiv.1610.00188,
title = {Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system},
author = {Anupam Pal Choudhury and Gianluca Crippa and Laura V. Spinolo},
journal= {arXiv preprint arXiv:1610.00188},
year = {2017}
}