Weak stability of Lagrangian solutions to the semigeostrophic equations

Josiane C. O. Faria, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes

In [1], Cullen and Feldman proved existence of Lagrangian solutions for the semigeostrophic system in physical variables with initial potential vorticity in $L^p$, $p>1$. Here, we…