Back to Search Start Over

Self-similar solutions for dyadic models of the Euler equations

Authors :
In-Jee Jeong
Source :
Journal of Differential Equations. 266:7197-7204
Publication Year :
2019
Publisher :
Elsevier BV, 2019.

Abstract

We show existence of self-similar solutions satisfying Kolmogorov's scaling for generalized dyadic models of the Euler equations, extending a result of Barbato, Flandoli, and Morandin. The proof is based on the analysis of certain dynamical systems on the plane.<br />Comment: 10 pages, 1 figure

Subjects

Subjects :
Dynamical systems theory
Plane (geometry)
Applied Mathematics
010102 general mathematics
Mathematical analysis
Dynamical Systems (math.DS)
01 natural sciences
Euler equations
010101 applied mathematics
symbols.namesake
Mathematics - Classical Analysis and ODEs
Classical Analysis and ODEs (math.CA)
FOS: Mathematics
symbols
Mathematics - Dynamical Systems
0101 mathematics
Scaling
Analysis
Mathematics

Details

ISSN :
00220396
Volume :
266
Database :
OpenAIRE
Journal :
Journal of Differential Equations
Accession number :
edsair.doi.dedup.....211a9b51adbba060afbbc38621b9a158
Full Text :
https://doi.org/10.1016/j.jde.2018.11.033
Full Text Access
View/download PDF

Tools

Authors Abstract Subjects Details