3 citations · 3 across the 7 of their papers we have counts for
7 papers
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…
Asymptotic Log-Harnack Inequality for Degenerate SPDEs with Reflection
Qi Li, Feng-Yu Wang, Tusheng Zhang
By constructing a suitable coupling by change of measures, the asymptotic log- Harnack inequality is established for a class of degenerate SPDEs with reflection. This inequality im…
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…
A New Type Distribution Dependent SDE for Singular Nonlinear PDE
Feng-yu Wang
We propose a new type SDE depending on the future distributions with all initial values, and establish the correspondence between this equation and the associated singular nonlinea…
Well-posedness, Smoothness and Blow-up for Incompressible Navier-Stokes Equations
Feng-Yu Wang
For any divergence free initial datum with for some , the well-posedness and smoothness are…
Distribution Dependent SDEs for Navier-Stokes Type Equations
Feng-Yu Wang
To characterize Navier-Stokes type equations where the Laplacian is extended to a singular second order differential operator, we propose a class of SDEs depending on the distribut…
Density Dependent Singular Stochastic Differential Equations
Feng-Yu Wang
The (strong and weak) well-posedness is proved for singular SDEs depending on the distribution density point-wisely and globally, where the drift satisfies a local integrability co…