Copyright © 2009 Boling Guo and Daiwen Huang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
By introducing a compactness lemma and
considering a constrained variational problem, we obtain a set of
steady waves for Hasegawa-Mima equation, which describes the motion
of drift waves in plasma. Moreover, we prove that is a stable set
for the initial value problem of the equation, in the sense that a solution
which starts near will remain near it for all time.