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arxiv: 1610.00188 · v1 · pith:WJVXLZR4new · submitted 2016-10-01 · 🧮 math.AP

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

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keywords valueestablishfieldsincompressibleinitial-boundarykeyfitzkranzernearly
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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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