61 citations · 216 across the 24 of their papers we have counts for
Showing 2018 · math.APShow all
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math.AP2018★ 5 cited
Well-posedness of the Prandtl equation without any structural assumption
Helge Dietert, David Gerard-Varet
We show the local in time well-posedness of the Prandtl equation for data with Gevrey regularity in and regularity in . The main novelty of our result is that we d…
math.AP2018★ 17 cited
About the entropic structure of detailed balanced multi-species cross-diffusion equations
Esther S. Daus, Laurent Desvillettes, Helge Dietert
This paper links at the formal level the entropy structure of a multi-species cross-diffusion system of Shigesada-Kawasaki-Teramoto (SKT) type satisfying the detailed balance condi…
math.AP2018★ 28 cited
The mathematics of asymptotic stability in the Kuramoto model
Helge Dietert, Bastien Fernandez
Now a standard in Nonlinear Sciences, the Kuramoto model is the perfect example of the transition to synchrony in heterogeneous systems of coupled oscillators. While its basic phen…