Backward Euler Approximations for Conservation Laws with Discontinuous Flux
Analysis of PDEs
2019-02-28 v2
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.
Cite
@article{arxiv.1803.00493,
title = {Backward Euler Approximations for Conservation Laws with Discontinuous Flux},
author = {Graziano Guerra and Wen Shen},
journal= {arXiv preprint arXiv:1803.00493},
year = {2019}
}
Comments
29 pages, research article