Existence of axisymmetric weak solutions of the 3-D Euler equations for near-vortex-sheet initial data
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 $omega_0$, we assumed that $omega_0/r$ belongs to $L(log L (Bbb R^3))^{alpha}$ with $alpha >1/2$, where $r$ is the di...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1998-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1998/26/abstr.html |