Periodic Structures in a Van Der Waals Fluid
نویسنده
چکیده
A system of partial differential equations modeling a van der Waals fluid or an elastic medium with nonmonotone pressure-density relation is studied. As the system changes type, regularizations are considered. The existence of one-dimensional periodic travelling waves with prescribed average density in a certain range, average velocity, and wavelength is proved. They exhibit layer structure when the regularization parameter is small. Similarities with the Cahn-Hilliard equation are explored.
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