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arXiv · 1310.3874

A Note on Flux Integrals over Smooth Regular Domains

Ido Bright·John M. Lee
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Abstract

We provide new bounds on a flux integral over the portion of the boundary of one regular domain contained inside a second regular domain, based on properties of the second domain rather than the first one. This bound is amenable to numerical computation of a flux through the boundary of a domain, for example, when there is a large variation in the normal vector near a point. We present applications of this result to occupational measures and two-dimensional differential equations, including a new proof that all minimal invariant sets in the plane are trivial.

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Ido Bright, John M. Lee. 2013-10-14. A Note on Flux Integrals over Smooth Regular Domains. https://doi.org/10.2140/pjm.2014.272.305

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