8 citations · 10 across the 4 of their papers we have counts for
3 papers · 1 filter
Pseudo-differential noise and nonlocal singularity formation in the stochastic Córdoba--Córdoba--Fontelos equation
Diego Alonso-Orán, Rafael Granero-Belinchón, Yingting Miao +1
We study the stochastic Córdoba--Córdoba--Fontelos equation driven by multiplicative Stratonovich noise. The noise amplitude is allowed to be a pseudo-differential operator whose l…
Global existence and blow-up for a stochastic transport equation with non-local velocity
Diego Alonso-Orán, Yingting Miao, Hao Tang
In this paper we investigate a non-linear and non-local one dimensional transport equation under random perturbations on the real line. We first establish a local-in-time theory, i…
Well-posedness for a stochastic Camassa-Holm type equation with higher order nonlinearities
Yingting Miao, Christian Rohde, Hao Tang
This paper aims at studying a generalized Camassa--Holm equation under random perturbation. We establish a local well-posedness result in the sense of Hadamard, i.e., existence, un…