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arXiv · 1610.00188

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

Anupam Pal Choudhury·Gianluca Crippa·Laura V. Spinolo
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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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Anupam Pal Choudhury, Gianluca Crippa, Laura V. Spinolo. 2016-10-01. Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system. https://doi.org/10.1007/s00033-017-0883-8

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