Lattice fractional diffusion equation of random order
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DOI: 10.1002/mma.3644
Abstract: The discrete fractional calculus is used to fractionalize difference equations. Simulations of the fractional logistic map unravel that the chaotic solution is conveniently obtained. Then a Riesz fractional difference is defined for fractional partial difference… read more here.
Keywords: fractional diffusion; equation random; lattice fractional; random order ... See more keywords
The Surface Quasi-geostrophic Equation With Random Diffusion
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DOI: 10.1093/imrn/rny261
Abstract: Consider the surface quasi-geostrophic equation with random diffusion, white in time. We show global existence and uniqueness in high probability for the associated Cauchy problem satisfying a Gevrey type bound. This article is inspired by… read more here.
Keywords: geostrophic equation; equation random; surface quasi; random diffusion ... See more keywords