Document Type
Article
Publication Date
12-18-2025
Keywords
Gauge Invariance, blowup, solution discontinuities
Abstract
The main conclusion of this paper is (a) a gauge structure for the underlying physics, at or above a critical dimension, forces multiple time isolated solution discontinuities (blowups). The main conclusion (b) is that the solution is one Sobolev index more singular that the natural Hilbert space H. Proofs are given for Navier-Stokes fluids.
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Recommended Citation
Glimm, James; Glimm, James; and Glimm, James, "Gauge Invariance and Repeated Time Isolated Solution Discontinuities" (2025). Department of Applied Mathematics & Statistics Faculty Publications. 6.
https://commons.library.stonybrook.edu/ams-articles/6