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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
Well-posedness of the EPDiff equation with a pseudo-differential inertia operator
Martin Bauer, Martins Bruveris, Emanuel Cismas +2
In this article we study the class of right-invariant, fractional order Sobolev-type metrics on groups of diffeomorphisms of a compact manifold M. Our main result concerns well-pos…