Fig. 3
From: Regularity Criteria for the Kuramoto–Sivashinsky Equation in Dimensions Two and Three
\(L^p\) norms of \(\phi \) (left), \(\phi _x\) (middle) and \(\phi _y\) (right). Note that \(u_1=\phi _x\), and \(u_2=\phi _y\) (\(p = 1,\tfrac{3}{2},2,3,4,5,6,\infty \))