The Primitive Equations in the scaling invariant space $L^{\infty }(L^1)$

Yoshikazu Giga, Mathis Gries, Matthias Hieber +2

Consider the primitive equations on ${\mathbb{R}}^2\times (z_0,z_1)$ with initial data $a$ of the form $a=a_1+a_2$, where $a_1\in BU{C}_{\sigma }({\mathbb{R}}^2;L^1(z_0,z_1))$ and $a_2 \in L^\infty_σ(\R^2;L^1(…