|
|||||
|
|
|
|
|
|
|
|
|
A note on flux
integrals over smooth regular domains
Ido Bright and John M. Lee |
|
Vol. 272 (2014), No. 2, 305–322
|
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. |
Keywords
flux integral, smooth, regular domain, occupational measure
|
Mathematical Subject Classification 2010
Primary: 53A05, 58C35
Secondary: 28A99
|
Milestones
Received: 13 October 2013
Revised: 26 November 2013
Accepted: 2 December 2013
Published: 28 November 2014
|
Authors |
| Ido Bright | |
| Department of Applied
Mathematics University of Washington Seattle, WA 98195-3925 United States |
|
| John M. Lee | |
| Department of Mathematics University of Washington Seattle, WA 98195-4350 United States |
|
|
