Strong and Weak Solutions to the Hasegawa-Mima Equation with Periodic Boundary Conditions

Hagop Karakazian, Nabil Nassif

The two dimensional Hasegawa-Mima (HM) equation $$-\Delta u_t+u_t=\{u,\Delta u\}+k{u}_y$$ describes the time evolution of drift waves in magnetically-confined plasma. Several authors have t…