3 papers
math.PR2020
A local-in-time theory for singular SDEs with applications to fluid models with transport noise
Diego Alonso-Orán, Christian Rohde, Hao Tang
In this paper, we establish a local theory, i.e., existence, uniqueness and blow-up criterion, for a general family of singular SDEs in some Hilbert space. The key requirement is a…
math.AP2020
On the stochastic Dullin-Gottwald-Holm equation: Global existence and wave-breaking phenomena
Christian Rohde, Hao Tang
We consider a class of stochastic evolution equations that include in particular the stochastic Camassa--Holm equation. For the initial value problem on a torus, we first establish…
math.AP2020
On a stochastic Camassa-Holm type equation with higher order nonlinearities
Christian Rohde, Hao Tang
The subject of this paper is a generalized Camassa-Holm equation under random perturbation. We first establish local existence and uniqueness results as well as blow-up criteria fo…