65 citations · 457 across the 27 of their papers we have counts for
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math.AP2014★ 31 cited
Local and Global Well-posedness of the fractional order EPDiff equation on
Martin Bauer, Joachim Escher, Boris Kolev
Of concern is the study of fractional order Sobolev--type metrics on the group of -diffeomorphism of and on its Sobolev completions $\mathcal{D}^{q}(\m…
math-ph2014★ 39 cited
Two-component equations modelling water waves with constant vorticity
Joachim Escher, David Henry, Boris Kolev +1
In this paper we derive a two-component system of nonlinear equations which model two-dimensional shallow water waves with constant vorticity. Then we prove well-posedness of this…
math.AP2014
Bounded traveling waves for a thin film with gravity and insoluble surfactant
Joachim Escher, Matthieu Hillairet, Philippe Laurencot +1
Lubrication equations for a surfactant-driven flow of a thin layer of fluid are considered with a singular surfactant-dependent surface tension. It is shown that there exists a bou…