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math.AP2019
Stratified periodic water waves with singular density gradients
Joachim Escher, Patrik Knopf, Christina Lienstromberg +1
We consider Euler's equations for free surface waves traveling on a body of density stratified water in the scenario when gravity and surface tension act as restoring forces. The f…
math.AP2019
On a degenerate parabolic system describing the mean curvature flow of rotationally symmetric closed surfaces
Harald Garcke, Bogdan-Vasile Matioc
We show that the mean curvature flow for a closed and rotationally symmetric surface can be formulated as an evolution problem consisting of an evolution equation for the square of…