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.

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

LV Spinolo
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.
2017
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
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.
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Descrizione: Initial-boundary value problems for nearly incompressible vector fields, and applications to the Keyfitz and Kranzer system
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/326033
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