The top Lyapunov exponent of the Lagrangian flow for 2D incompressible Navier-Stokes equations driven by mildly degenerate noise on low modes is strictly positive.
Positivity of the exponent for stationary sequences of matri- ces[C]//Lyapunov Exponents: Proceedings of a Workshop held in Bremen, November 12–15
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Lagrangian chaos for the 2D Navier-Stokes equations driven by mildly degenerate noise
The top Lyapunov exponent of the Lagrangian flow for 2D incompressible Navier-Stokes equations driven by mildly degenerate noise on low modes is strictly positive.