Abstract
We consider self-similar solutions of the Dafermos regularization of Burger's equation that represent viscous wave fan profiles for Riemann solutions. Two important features of the governing dynamical system are revealed: (ⅰ) the existence of a first integral, and (ⅱ) explicit formulas for a normally hyperbolic invariant curve that is a perturbation of the curve of turning points, and for its stable and unstable manifolds. Using (ⅰ) and (ⅱ), we obtain a detailed and explicit description of these self-similar solutions.
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