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.
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Choudhury, A.P., Crippa, G. & Spinolo, L.V. Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system. Z. Angew. Math. Phys. 68, 138 (2017). https://doi.org/10.1007/s00033-017-0883-8
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DOI: https://doi.org/10.1007/s00033-017-0883-8