Nonexistence of self-similar singularities for the 3D incompressible Euler equations
- Authors
- Chae, DH[Chae, Dongho]
- Issue Date
- Jul-2007
- Publisher
- SPRINGER
- Citation
- COMMUNICATIONS IN MATHEMATICAL PHYSICS, v.273, no.1, pp.203 - 215
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMMUNICATIONS IN MATHEMATICAL PHYSICS
- Volume
- 273
- Number
- 1
- Start Page
- 203
- End Page
- 215
- URI
- https://scholarworks.bwise.kr/skku/handle/2021.sw.skku/84275
- DOI
- 10.1007/s00220-007-0249-8
- ISSN
- 0010-3616
- Abstract
- We prove that there exists no self- similar finite time blowing up solution to the 3D incompressible Euler equations if the vorticity decays sufficiently fast near infinity in R-3. By a similar method we also show nonexistence of self- similar blowing up solutions to the divergence- free transport equation in R-n. This result has direct applications to the density dependent Euler equations, the Boussinesq system, and the quasi- geostrophic equations, for which we also show nonexistence of self- similar blowing up solutions.
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Collections - Science > Department of Mathematics > 1. Journal Articles
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