2 citations · 2 across the 4 of their papers we have counts for
5 papers
Regularizing the Navier-Stokes Equations via Additive Type Noise plus Small Linear Multiplicative Noise
Weiquan Chen
We derive a series of ``regularization by noise in high probability" results for incompressible Navier-Stokes equations , via a new mechanism based on fixed point argumen…
High Order Asymptotic Expansion at Infinity for Strong Solutions to Incompressible Navier-Stokes Equations
Weiquan Chen, Zhongmin Qian, Shuai Xi
We discuss an interesting distinction between the incompressible Navier-Stokes equations (the velocity equations) and its vorticity form in whole space. We show that if the initial…
Non-uniqueness of Leray-Hopf Solutions to Forced Stochastic Hyperdissipative Navier-Stokes Equations up to Lions Index
Weiquan Chen, Zhao Dong, Yang Zheng
We show non-uniqueness of local strong solutions to stochastic fractional Navier-Stokes equations with linear multiplicative noise and some certain deterministic force. Such non-un…
Martingale Suitable Weak Solutions of -D Stochastic Navier-Stokes Equations with Vorticity Bounds
Weiquan Chen, Zhao Dong
In this paper, we construct martingale suitable weak solutions for -dimensional incompressible stochastic Navier-Stokes equations with generally non-linear noise. In determinist…
Sharp non-uniqueness of solutions to stochastic Navier-Stokes equations
Weiquan Chen, Zhao Dong, Xiangchan Zhu
In this paper we establish a sharp non-uniqueness result for stochastic -dimensional () incompressible Navier-Stokes equations. First, for every divergence free initial…