Counter-examples to Concentration-cancellation

We study the existence and the asymptotic behavior of large amplitude high-frequency oscillating waves subjected to the two-dimensional Burger equation. This program is achieved by developing tools related to supercritical WKB analysis. By selecting solutions which are divergence free, we show that...

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Bibliographic Details
Published in:Archive for rational mechanics and analysis 2008-09, Vol.189 (3), p.363-424
Main Authors: Cheverry, C., Guès, O.
Format: Article
Language:English
Subjects:
Classical Mechanics
Complex Systems
Exact sciences and technology
Fluid dynamics
Fluid- and Aerodynamics
Fundamental areas of phenomenology (including applications)
General theory
Mathematical and Computational Physics
Mathematical methods in physics
Numerical approximation and analysis
Ordinary and partial differential equations, boundary value problems
Physics
Physics and Astronomy
Studies
Theoretical
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Summary:We study the existence and the asymptotic behavior of large amplitude high-frequency oscillating waves subjected to the two-dimensional Burger equation. This program is achieved by developing tools related to supercritical WKB analysis. By selecting solutions which are divergence free, we show that incompressible or compressible two-dimensional Euler equations are not locally closed for the weak L 2 topology.
ISSN:0003-9527
1432-0673
DOI:10.1007/s00205-008-0132-6