Approximate solutions to slightly viscous conservation laws

Kreiss, Gunilla; Efraimsson, Gunilla

doi:10.1090/qam/2032575

Authors: Gunilla Kreiss and Gunilla Efraimsson
Journal: Quart. Appl. Math. 62 (2004), 117-133
MSC: Primary 35L65; Secondary 35B25, 35J05, 35L67, 76L05
DOI: https://doi.org/10.1090/qam/2032575
MathSciNet review: MR2032575
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Abstract: We study an approximate solution of a slightly viscous conservation law in one dimension, constructed by two asymptotic expansions that are cut off after the third order terms. In the shock layer, an inner solution is valid and an outer solution is valid elsewhere.

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