Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems

Christoforou, Cleopatra; Spinolo, Laura

doi:10.1090/S0033-569X-2013-01284-6

Authors: Cleopatra Christoforou and Laura V. Spinolo
Journal: Quart. Appl. Math. 71 (2013), 433-453
MSC (2010): Primary 35L65, 35L50, 35K51
DOI: https://doi.org/10.1090/S0033-569X-2013-01284-6
Published electronically: May 16, 2013
MathSciNet review: 3112822
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Abstract: We provide a precise description of the set of residual boundary conditions generated by the self-similar viscous approximation introduced by Dafermos et al. We then apply our results, valid for both conservative and nonconservative systems, to the analysis of the boundary Riemann problem and we show that, under appropriate assumptions, the limits of the self-similar and the classical vanishing viscosity approximation coincide. We require neither genuine nonlinearity nor linear degeneracy of the characteristic fields.

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