5 papers
On the ill-posedness of the triple deck model
Helge Dietert, David Gérard-Varet
We analyze the stability properties of the so-called triple deck model, a classical refinement of the Prandtl equation to describe boundary layer separation. Combining the methodol…
On Cucker-Smale dynamical systems with degenerate communication
Helge Dietert, Roman Shvydkoy
This note introduces a new method for establishing alignment in systems of collective behavior with degenerate communication protocol. The communication protocol consists of a kern…
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…
High frequency analysis of the unsteady Interactive Boundary Layer model
Anne-Laure Dalibard, Helge Dietert, David Gérard-Varet +1
The present paper is about a famous extension of the Prandtl equation, the so-called Interactive Boundary Layer model (IBL). This model has been used intensively in the numerics of…