Oscillations, Foliations and Burger Laws
Mekki Houbad
Broschiertes Buch

Oscillations, Foliations and Burger Laws

A large classifications of oscillating solutions for the multidimensional Burger system

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In this work, we construct large amplitude oscillating waves which are local solutions on some open domain of time space of both the three dimensional Burger equations and the incompressible Euler equation. The solutions are mainly characterised by the fact that the corresponding jacobin matrix are nilpotent. our approach consists in performing some nonusual WKB analysis. The main difficulty is to understand what is the geometry of the phases brought into play.