17 citations · 49 across the 10 of their papers we have counts for
5 papers · 1 filter
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…
Distribution-Path Dependent Nonlinear SPDEs with Application to Stochastic Transport Type Equations
Panpan Ren, Hao Tang, Feng-Yu Wang
By using a regularity approximation argument, the global existence and uniqueness are derived for a class of nonlinear SPDEs depending on both the whole history and the distributio…
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…
On stochastic Euler-Poincaré equations driven by pseudo-differential/multiplicative noise
Hao Tang
In this paper we focus on the stochastic Euler-Poincaré equations with pseudo-differential/multiplicative noise. We first establish two new cancellation properties on pseudo-differ…
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…