A Stochastic RAGE Theorem and Enhanced Dissipation for Transport Noise
A Stochastic RAGE Theorem and Enhanced Dissipation for Transport Noise
We prove a stochastic version of the classical RAGE theorem that applies to the two-point motion generated by noisy transport equations. As a consequence, we identify a necessary and sufficient condition for the corresponding diffusive equation to be dissipation enhancing. This involves the identification of a non-trivial, finite dimensional subspace that is invariant for the family of self-adjoint operator characterizing the structure of the transport noise. We discuss several examples and prove a sharp enhanced dissipation rate for stochastic shear flows.
Michele Coti Zelati、Martin Hairer、David Villringer
数学物理学
Michele Coti Zelati,Martin Hairer,David Villringer.A Stochastic RAGE Theorem and Enhanced Dissipation for Transport Noise[EB/OL].(2025-07-15)[2025-07-23].https://arxiv.org/abs/2507.11422.点此复制
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