Feng-yu Wang

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20212026

most citedA General Framework for Solving Singular SPDEs with Applications to Fluid Models Driven by Pseudo-differential Noise

3 citations · 3 across the 7 of their papers we have counts for

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math.AP2022★ 3 cited

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…

math.AP2022

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…

math.AP2022

Well-posedness, Smoothness and Blow-up for Incompressible Navier-Stokes Equations

Feng-Yu Wang

For any divergence free initial datum $u_{0}$ with $∥ u_{0} ∥_{\infty} + ∥\nabla u_{0} ∥_{L^{p}} + ∥ \nabla^{2} u_{0} ∥_{L^{p}} < \infty$ for some $p > d (d \geq 2)$ , the well-posedness and smoothness are…

math.AP2022

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…