We address the problem of controllability of the MHD system in a rectangular domain with a control prescribed on the side boundary. We identify a necessary and sufficient condition on the data to be null-controllable, i.e., can be driven to the zero state. We also show that the validity of this condition allows the states to be stirred to each other. If the condition is not satisfied, one can move from one state to another with the help of a simple shear external magnetic force.
|Original language||English (US)|
|Number of pages||19|
|Journal||Journal of Differential Equations|
|State||Published - May 5 2022|
ASJC Scopus subject areas
- Applied Mathematics