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Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT Batchelor predicted that a passive scalar ψν$\psi ^\nu$ with diffusivity ν$\nu$, advected by a smooth fluid velocity, should typically have Fourier mass distributed as |ψ̂ν|2(k)≈|k|−d$|\widehat{\psi }^\nu |^2(k) \approx |k|^{-d}$ for |k|≪ν−1/2$|k| \ll \nu ^{-1/2}$.
William Cooperman, Keefer Rowan
wiley   +1 more source

Fault Tree Reliability Analysis via Squarefree Polynomials: Mathematical and Experimental Analysis. [PDF]

SN Comput Sci
Lopuhaä-Zwakenberg M.
europepmc   +1 more source

Metastability and teleconnection of atmospheric circulation via hidden Markov models and network modularity. [PDF]

Sci Rep
Mukhin D, Samoilov R, Hannachi A.
europepmc   +1 more source

The Random Domino Automaton on the Bethe Lattice and Power-Law Cluster-Size Distributions. [PDF]

Entropy (Basel)
Białecki M, Bagchi A, Tutiya Y.
europepmc   +1 more source

Development of a machine learning-based model for prediction of diabetes risk in patients with metabolic dysfunction-associated steatotic liver disease (MASLD). [PDF]

BMJ Open
Yang S, Mo R, Wang W, Zhen P, Han W.
europepmc   +1 more source

Motion of Quantum Particles in Terms of Probabilities of Paths. [PDF]

Entropy (Basel)
Santos E.
europepmc   +1 more source

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