Existence of Axisymmetric Weak Solutions of the 3-D Euler Equations for Near-Vortex-Sheet Initial Data
| dc.contributor.author | Chae, Dongho | |
| dc.contributor.author | Imanuvilov, Oleg Yu | |
| dc.date.accessioned | 2018-11-15T23:03:21Z | |
| dc.date.available | 2018-11-15T23:03:21Z | |
| dc.date.issued | 1998-10-15 | |
| dc.description.abstract | We study the initial value problem for the 3-D Euler equation when the fluid is inviscid and incompressible, and flows with axisymmetry and without swirl. On the initial vorticity ω0, we assumed that ω0/r belongs to L(log L(ℝ3)) ɑ with ɑ > 1/2, where r is the distance to an axis of symmetry. To prove the existence of weak global solutions, we prove first a new a priori estimate for the solution. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 17 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chae, D. & Imanuvilov, O. Y. (1998). Existence of Axisymmetric Weak Solutions of the 3-D Euler Equations for Near-Vortex-Sheet Initial Data, <i>Electronic Journal of Differential Equations, 1998</i>(26), pp. 1-17. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/7797 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 1998, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Euler equations | |
| dc.subject | Axisymmetry | |
| dc.subject | Weak solution | |
| dc.title | Existence of Axisymmetric Weak Solutions of the 3-D Euler Equations for Near-Vortex-Sheet Initial Data | en_US |
| dc.type | Article |