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math.AP2024
Wave maps in dimension with an external forcing
Zdzisław Brzeźniak, Jacek Jendrej, Nimit Rana
This paper aims to establish the local and global well-posedness theory in , inspired by the approach of Keel and Tao [Internat. Math. Res. Notices, 1998], for the forced wave…
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…
math.AP2020
Low regularity solutions to the stochastic geometric wave equation driven by a fractional Brownian sheet
Zdzisław Brzeźniak, Nimit Rana
We announce a result on the existence of a unique local solution to a stochastic geometric wave equation on the one dimensional Minkowski space with values in an…