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# On a Model of the Dynamics of Liquid/Vapor Phase Transitions

@article{Fan2000OnAM, title={On a Model of the Dynamics of Liquid/Vapor Phase Transitions}, author={Haitao Fan}, journal={SIAM Journal of Applied Mathematics}, year={2000}, volume={60}, pages={1270-1301} }

- Published 2000 in SIAM Journal of Applied Mathematics
DOI:10.1137/S0036139998343204

A model for the liquid/vapor phase transitions in a shock tube is studied. Mathematical analysis for the one-dimensional isothermal case is carried out. A sufficient condition for the existence of traveling waves is given. These traveling waves represent liquefaction and evaporation shocks. The nonexistence of some of these traveling waves when the shock speed is smaller than some number is proved. Major one-dimensional wave patterns observed in actual experiments with retrograde fluids are… CONTINUE READING

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