3 papers
math.PR2026
On the stability of rarefaction for stochastic viscous conservation law
Zhao Dong, Feimin Haung, Houqi Su
We study the asymptotic stability of rarefaction waves for one-dimensional stochastic viscous conservation laws driven by nonlinear conservative noise. In a critical scaling where…
math.PR2025
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…
math.PR2025
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…