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Abstract
For a system of hyperbolic conservation laws in onespace dimension, we study the viscous wave fan admissibility ofRiemann solutions. In particular, we show that structurallyunstable Riemann solutions with compressive and overcompressiveviscous shocks, and with constant portions crossing thehypersurfaces of eigenvalues admit viscous wave fan profiles. Themain tool used in the study is the center manifold theorem forinvariant sets and the exchange lemmas for singular perturbationproblems.
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