On a Navier–Stokes–Ohm problem from plasma physics in multi connected domains

Abstract

AbstractWe consider a model from electro-magneto-hydrodynamics describing a plasma in bounded multi connected domains. A nontrivial solution exists for magnetic fields as the equilibrium of this model. Nonlinear stability of the nontrivial solution is proved based on time weighted maximal $$L_p$$ L p -regularity.