Special Session 48: Fluid dynamics and KAM theory

Unstable vortices and non-uniqueness for 2D Euler and $\alpha-$SQG

Angel Castro
ICMAT-CSIC
Spain
Co-Author(s):    Daniel Faraco, Francisco Mengual, Marcos Solera
Abstract:
In the sixties Yudovich proved global existence and uniqueness of solutions for the 2D Euler incompressible equation in $L^1\cap L^\infty$. This result extends to the case with a force in $L^1_t( L^1\cap L^\infty)$. Although global existence in $L^1\cap L^p$, $1