On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations
In connection with the recent proposal for possible singularity formation at the boundary for solutions of three-dimensional axisymmetric incompressible Euler's equations (Luo and Hou, Proc. Natl. Acad. Sci. USA (2014)), we study models for the dynamics at the boundary and show that they exhibit a finite-time blowup from smooth data.
© 2017 Wiley Periodicals, Inc. Issue online: 15 September 2017; Version of record online: 3 May 2017; Manuscript Received: February 2016. KC has been partially supported by NSF FRG Grant DMS- 1159133. TH and GL have been partially supported by NSF Grants DMS-1613861 and DMS-1318377. AK has been partially supported by NSF-DMS Grants 1412023 and 1535653, and he also acknowledges support from a Guggenheim fellowship. VS has been partially supported by NSF-DMS Grants 1159376 and 1362467. YY has been partially supported by NSF-DMS Grants 1104415, 1159133, and 1411857.
Submitted - 1407.4776