REVIEW 3 cited by
An elementary approach to mixing and dissipation enhancement by transport noise
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
We investigate the mixing properties of solutions to the stochastic transport equation $d u= \circ d W \cdot\nabla u$, where the driving noise $W(t,x)$ is white in time, colored and divergence-free in space. Furthermore, we prove the dissipation enhancement in the presence of a small viscous term. Applying our results, we also derive the mixing properties for a regularized stochastic 2D Euler equation.
Forward citations
Cited by 3 Pith papers
-
Effective Lagrangian regularity and the uniqueness threshold for random H\"older velocity fields
For random multiscale Hölder velocity fields with finite-range dependence, uniqueness of ODE and transport solutions holds almost surely above the sharp threshold alpha=1/2, with explicit counterexamples below.
-
Absence of blow-up in the 3D Navier-Stokes equations with transport noise
3D Navier–Stokes equations with a strong, carefully chosen transport noise have global smooth solutions with probability arbitrarily close to 1, for arbitrarily large subcritical initial data.
-
A subsequentially fast dynamo on $\mathbb{T}^3$
A smooth flow on T^3 is built so that the induction equation grows magnetic energy exponentially at rate at least 1/4, for any prescribed countable set of diffusivities accumulating at zero.
Discussion (0). Continue with ORCID to comment.