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arXiv · 1803.00493

Backward Euler Approximations for Conservation Laws with Discontinuous Flux

Graziano Guerra·Wen Shen
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Abstract

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.

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Graziano Guerra, Wen Shen. 2018-03-01. Backward Euler Approximations for Conservation Laws with Discontinuous Flux. https://arxiv.org/abs/1803.00493

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