On the Convergence of Quasilinear Viscous Approximations Using Compensated Compactness

2017/08/29 by Mondal, Ramesh, Ganesh, S. Sivaji
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1708.08847

Abstract

Method of compensated compactness is used to show that the almost everywhere limit of quasilinear viscous approximations is the unique entropy solution (in the sense of \it Bardos et.al\citeMR542510) of the corresponding scalar conservation laws in a bounded domain in ℝ^d, where the viscous term is of the form ε div(B(u^ε)∇ u^ε).

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