Backward Euler Approximations for Conservation Laws with Discontinuous Flux

27 Feb 2019  ·  Guerra Graziano, Shen Wen ·

Solutions to a class of conservation laws with discontinuous flux are constructed relying on the Crandall-Liggett theory of nonlinear contractive semigroups~\cite{CL}. In particular, the paper studies the existence of backward Euler approximations, and their convergence to a unique entropy-admissible solution to the Cauchy problem... The proofs are achieved through the study of the backward Euler approximations to the viscous conservation laws. read more

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Analysis of PDEs