61 citations · 216 across the 24 of their papers we have counts for
4 papers · 1 filter
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…
A Law of Large Numbers and Large Deviations for interacting diffusions on Erdős-Rényi graphs
Fabio Coppini, Helge Dietert, Giambattista Giacomin
We consider a class of particle systems described by differential equations (both stochastic and deterministic), in which the interaction network is determined by the realization o…
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…
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…