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

2013/11/07 by Christian Klingenberg, C. Klingenberg, Klingenberg, C. +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1311.1732

8 Pages. HYP-2012 Proceedings

arxiv created 2013/11/07 · openalex publication_date 2013/11/07 · arxiv updated 2013/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a viscous approximation for a nonlinear degenerate convection-diffusion equations in two space dimensions, and prove an L¹ error estimate. Precisely, we show that the L¹_loc difference between the approximate solution and the unique entropy solution converges at a rate O(\eps^1/2), where \eps is the viscous parameter.

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