Abstract
This paper considers admissibility criteria for non-linear conservation laws based on (i) viscosity and (ii) capillarity and viscosity. It is shown by means of specific examples that while (ii) yields results consistent with experiment for materials exhibiting phase transitions,e.g. a van der Waals fluid, (i) does not.
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To Jerry Ericksen on the occasion of his 60th birthday
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Hagan, R., Slemrod, M. The viscosity-capillarity criterion for shocks and phase transitions. Arch. Rational Mech. Anal. 83, 333–361 (1983). https://doi.org/10.1007/BF00963839
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DOI: https://doi.org/10.1007/BF00963839