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Algebraic spiral solutions of 2d incompressible Euler
- Source :
- Journal of Differential Equations. 255:3749-3787
- Publication Year :
- 2013
- Publisher :
- Elsevier BV, 2013.
-
Abstract
- We consider self-similar solutions of the 2d incompressible Euler equations. We construct a class of solutions with vorticity forming algebraic spirals near the origin, in analogy to vortex sheets rolling up into algebraic spirals.
- Subjects :
- Class (set theory)
01 natural sciences
010305 fluids & plasmas
Physics::Fluid Dynamics
symbols.namesake
Mathematics - Analysis of PDEs
Condensed Matter::Superconductivity
0103 physical sciences
FOS: Mathematics
Incompressible euler equations
0101 mathematics
Algebraic number
Astrophysics::Galaxy Astrophysics
Spiral
Mathematics
Applied Mathematics
010102 general mathematics
Mathematical analysis
Vorticity
Vortex
Compressibility
Euler's formula
symbols
76B47, 76B70, 35Q35
Analysis
Analysis of PDEs (math.AP)
Subjects
Details
- ISSN :
- 00220396
- Volume :
- 255
- Database :
- OpenAIRE
- Journal :
- Journal of Differential Equations
- Accession number :
- edsair.doi.dedup.....8260c62794e3b9b4e3b49e990260f78b
- Full Text :
- https://doi.org/10.1016/j.jde.2013.07.021