17 citations · 49 across the 10 of their papers we have counts for
11 papers
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…
Stochastic Euler Equations with Pseudo-differential Noise: Continuous and Discontinuous Perturbations in Compressible and Incompressible Flows
Kenneth. H. Karlsen, Hao Tang, Feng-Yu Wang
We study stochastic Euler equations in compressible and incompressible regimes, on the whole space and the torus, driven by mixed multiplicative noise: continuous Stratonovich/Itô…
Damping-Diffusion-Noise Interactions in the Stochastic Camassa-Holm Equation
Diego Alonso-Orán, Peter H. C. Pang, Hao Tang
In this paper we investigate the effects of the interaction between time-inhomogeneous damping, non-local diffusion, and noise on classical solutions to the Camassa-Holm equation i…
A General Framework for Solving Singular SPDEs with Applications to Fluid Models Driven by Pseudo-differential Noise
Hao Tang, Feng-Yu Wang
In this paper we focus on nonlinear SPDEs with singularities included in both drift and noise coefficients, for which the Gelfand-triple argument developed for (local) monotone SPD…
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…
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…