Dongho Chae & Oleg Yu Imanuvilov
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 , we assumed that belongs to with , where 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.
Submitted October 9, 1998. Published October 15, 1998.
Math Subject Classification: 35Q35, 76C05.
Key Words: Euler equations, axisymmetry, weak solution.
Show me the PDF file (193 KB), TEX file, and other files for this article.
| Dongho Chae|
Department of Mathematics, Seoul National University
Seoul 151-742, Korea
|Oleg Yu Imanuvilov|
Korean Institute for Advanced Study
207-43 Chungryangri-dong Dongdaemoon-ku, Seoul, Korea
Return to the EJDE home page