On the convergence of quasilinear viscous approximations with BV initial data

2017/10/12 by Ramesh Mondal, Mondal, Ramesh, Ganesh, S. Sivaji
Chemical Engineering · Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Rheology and Fluid Dynamics Studies

paper · pdf · doi:10.48550/arxiv.1710.04529

openalex publication_date 2017/10/12 · openalex created_date 2017/10/20 · openalex updated_date 2026/07/28

Abstract

We show that the almost everywhere limit of quasilinear viscous approximations is the unique entropy solution (in the sense of \it Bardos-Leroux-Nedelec) of the corresponding scalar conservation laws on a bounded domain in ℝ^d whenever the initial data is essentially bounded and a function of bounded variation.

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