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Conservation laws with discontinuous flux functions and boundary condition

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Abstract.

In a bounded domain \( \Omega \) we study the existence and uniqueness of entropy solutions of \( \partial u/\partial t + \mathrm {div}\, \Phi (u) = f\quad \mathrm{with}\quad u(0)=u_0 \), where \( \Phi \) is allowed to have some discontinuities of first type.

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  1. Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain, e-mail: jose_carrillo@mat.ucm.es, , , , , , ES

    José Carrillo

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  1. José Carrillo
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Carrillo, J. Conservation laws with discontinuous flux functions and boundary condition. J.evol.equ. 3, 283–301 (2003). https://doi.org/10.1007/s00028-003-0095-x

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  • DOI: https://doi.org/10.1007/s00028-003-0095-x

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