Global smooth solutions to the multidimensional hydrodynamic model for plasmas with insulating boundary conditions

The existence of global smooth solutions to the multidimensional hydrodynamic model for plasmas of electrons and positively charged ions with insulating boundary conditions is shown under the assumption that the initial densities are close to a constant. Furthermore it is proved that the particle densities converge exponentially fast to the constant steady state. © 2007 Elsevier Inc. All rights reserved