Abstract - CRM 2023

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4. Ordinary and Partial Differential Equations, Controlled Differential Systems

Convergence of $\alpha$ -Euler to Euler for low regularity

Adriana Valentina Busuioc
Institut Camille Jordan, Université Jean Monnet Saint-Etienne, France

Abstract:

Convergence of

$\alpha$ -Euler to Euler for low regularity We consider the

$\alpha$ -Euler equations on a bounded domain with Dirichlet boundary conditions in dimension two. We prove the convergence to the Euler equations when

$\alpha$ goes to 0 when the potential vorticity belongs to

$L^p$ with

$p \geq 1$ or is a bounded positive measure.

Convergence of α\alpha-Euler to Euler for low regularity

Abstract:

Convergence of $\alpha$ -Euler to Euler for low regularity