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arXiv · 1708.08847

On the Convergence of Quasilinear Viscous Approximations Using Compensated Compactness

Ramesh Mondal·S. Sivaji Ganesh
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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}\cite{MR542510}) of the corresponding scalar conservation laws in a bounded domain in $\mathbb{R}^{d}$, where the viscous term is of the form $\varepsilon div\left(B(u^{\varepsilon})\nabla u^{\varepsilon}\right)$.

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Ramesh Mondal, S. Sivaji Ganesh. 2017-08-29. On the Convergence of Quasilinear Viscous Approximations Using Compensated Compactness. https://arxiv.org/abs/1708.08847

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