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arXiv · 1311.1732

An error estimate for viscous approximate solutions to degenerate anisotropic convection-diffusion equations

C. Klingenberg·U. Koley
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Abstract

We consider a viscous approximation for a nonlinear degenerate convection-diffusion equations in two space dimensions, and prove an $L^1$ error estimate. Precisely, we show that the $L^1_{\mathrm{loc}}$ difference between the approximate solution and the unique entropy solution converges at a rate $\mathcal{O}(\eps^{1/2})$, where $\eps$ is the viscous parameter.

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C. Klingenberg, U. Koley. 2013-11-07. An error estimate for viscous approximate solutions to degenerate anisotropic convection-diffusion equations. https://arxiv.org/abs/1311.1732

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