Exact boundary controllability for the ideal magneto-hydrodynamic equations

Igor Kukavica, Matthew Novack, Vlad Vicol

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)94-112
Number of pages19
JournalJournal of Differential Equations
StatePublished - May 5 2022

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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