82 citations · 147 across the 21 of their papers we have counts for
3 papers · 1 filter
Geometric rough paths on infinite dimensional spaces
Erlend Grong, Torstein Nilssen, Alexander Schmeding
Similar to ordinary differential equations, rough paths and rough differential equations can be formulated in a Banach space setting. For , we give criteria for whe…
Variational principles for fluid dynamics on rough paths
Dan Crisan, Darryl D. Holm, James-Michael Leahy +1
In this paper, we introduce a new framework for parametrization schemes (PS) in GFD. Using the theory of controlled rough paths, we derive a class of rough geophysical fluid dynami…
Global well-posedness of the 3D Navier--Stokes equations perturbed by a deterministic vector field
Franco Flandoli, Martina Hofmanová, Dejun Luo +1
We are concerned with the problem of global well-posedness of the 3D Navier--Stokes equations on the torus with unitary viscosity. While a full answer to this question seems to be…