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...

Full description

Saved in:
Bibliographic Details
Published inArchive for rational mechanics and analysis Vol. 189; no. 3; pp. 363 - 424
Main Authors Cheverry, C., Guès, O.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2008
Springer
Springer Nature B.V
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
Cauchy Problem
Initial Data
Burger Equation
Euler Equation
Weak Limit
Modelling
WKB approximation
Asymptotic approximation
Euler equations
Topology
Burgers equation
Online AccessGet full text

Cover

More Information
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