Instability Criteria for Steady Flows of a Perfect Fluid
| dc.contributor.utaustinauthor | Vishik, Misha M. | en_US |
| dc.creator | Friedlander, Susan | en_US |
| dc.creator | Vishik, Misha M. | en_US |
| dc.date.accessioned | 2016-10-28T19:51:31Z | |
| dc.date.available | 2016-10-28T19:51:31Z | |
| dc.date.issued | 1992-07 | en_US |
| dc.description.abstract | An instability criterion based on the positivity of a Lyapunov-type exponent is used to study the stability of the Euler equations governing the motion of an inviscid incompressible fluid. It is proved that any flow with exponential stretching of the fluid particles is unstable. In the case of an arbitrary axisymmetric steady integrable flow, a sufficient condition for instability is exhibited in terms of the curvature and the geodesic torsion of a stream line and the helicity of the flow. | en_US |
| dc.description.department | Mathematics | en_US |
| dc.description.sponsorship | NSF DMS 9000137, DMS 9105688 | en_US |
| dc.identifier | doi:10.15781/T2V698F6B | |
| dc.identifier.citation | Friedlander, Susan, and Misha M. Vishik. "Instability criteria for steady flows of a perfect fluid." Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 2, No. 3 (Jul., 1992): 455-460. | en_US |
| dc.identifier.doi | 10.1063/1.165888 | en_US |
| dc.identifier.issn | 1054-1500 | en_US |
| dc.identifier.uri | http://hdl.handle.net/2152/43247 | |
| dc.language.iso | English | en_US |
| dc.relation.ispartof | en_US | |
| dc.relation.ispartofserial | Chaos | en_US |
| dc.rights | Administrative deposit of works to Texas ScholarWorks: This works author(s) is or was a University faculty member, student or staff member; this article is already available through open access or the publisher allows a PDF version of the article to be freely posted online. The library makes the deposit as a matter of fair use (for scholarly, educational, and research purposes), and to preserve the work and further secure public access to the works of the University. | en_US |
| dc.rights.restriction | Open | en_US |
| dc.subject | stability | en_US |
| dc.subject | mathematics, applied | en_US |
| dc.subject | physics, mathematical | en_US |
| dc.title | Instability Criteria for Steady Flows of a Perfect Fluid | en_US |
| dc.type | Article | en_US |