Impossible solutions?
A.D.Popova (Sternberg Astronomical Institute)
TL;DR
This paper introduces novel n-dimensional vortex and potential solutions to elliptical differential equations with unique properties, exhibiting near lower-dimensional behavior in high-dimensional spaces.
Contribution
It presents new n-dimensional vortex-like and potential-like solutions with unusual properties related to elliptical differential equations with compact sources.
Findings
Solutions exhibit near 3D behavior in odd dimensions.
Solutions exhibit near 2D behavior in even dimensions.
Properties are related to elliptical differential equations with compact sources.
Abstract
We present n-dimensional vortex-ring-like and potential-like solutions with unusual properties related to some elliptical differential equations with compact sources. Solutions have almost 3- or 2-dimensional behaviour in the spaces with arbitrary (large) odd and even dimensions, respectively.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Navier-Stokes equation solutions · Advanced Mathematical Modeling in Engineering