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Stochastic Hydrodynamic Velocity Field and the Representation of Langevin Equations

open access: yesAnnalen der Physik, EarlyView.
A lumped method is proposed to account for both mean‐field hydrodynamics and stochastic fluctuations within the kinematic equations of motion, providing a regularized formulation of the overdamped approximation. The concept of stochastic realizability in broad sense is introduced based on the spectral properties of the Fredholm operator associated with
Massimiliano Giona   +2 more
wiley   +1 more source

Some dynamic Hardy-type inequalities with negative parameters on time scales nabla calculus

open access: yesAIMS Mathematics
In this paper, we establish some new dynamic Hardy-type inequalities with negative parameters on time scales nabla calculus by applying the reverse H ölder's inequality, integration by parts, and chain rule on time scales nabla calculus.
Elkhateeb S. Aly   +5 more
doaj   +1 more source

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