Transport relations for surface integrals arising in the formulation of balance laws for evolving fluid interfaces

Paolo Cermelli, Eliot Fried, Morton E. Gurtin · Journal of Fluid Mechanics · 2005

We establish transport relations for integrals over evolving fluid interfaces. These relations make it possible to localize integral balance laws over non-material interfaces separating fluid phases and, therefore, obtain associated interface conditions in differential form.

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