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Solution properties of the incompressible Euler system with rough path advection
Dan Crisan, Darryl D. Holm, James-Michael Leahy +1
The present paper aims to establish the local well-posedness of Euler's fluid equations on geometric rough paths. In particular, we consider the Euler equations for the incompressi…
math.AP2021
Random dynamical system generated by the 3D Navier-Stokes equation with rough transport noise
Jorge Cardona, Martina Hofmanova, Torstein Nilssen +1
We consider the Navier-Stokes system in three dimensions perturbed by a transport noise which is sufficiently smooth in space and rough in time. The existence of a weak solution wa…