2 papers
math.DS2026
Lagrangian chaos for the 2D Navier-Stokes equations driven by mildly degenerate noise
Dengdi Chen, Yan Zheng
We consider the 2D incompressible Navier-Stokes equations driven by mildly degenerate noise that acts only on finitely many low Fourier modes, a setting that models large-scale sti…
math.DS2026
Lagrangian chaos for the 2D Boussinesq equations with a degenerate random forcing
Dengdi Chen, Yan Zheng
We demonstrate that Lagrangian flow for the 2D Boussinesq equations under degenerate noise exhibit chaotic behavior characterized by the strict positivity of the top Lyapunov expon…