The asymptotic behaviour of global smooth solutions to the multi-dimensional hydrodynamic model for semiconductors

摘要

We establish the global existence of smooth solutions to the Cauchy problem for the multi-dimensional hydrodynamic model for semiconductors, provided that the initial data are perturbations of a given stationary solutions, and prove that the resulting evolutionary solution converges asymptotically in time to the stationary solution exponentially fast. Copyright (C) 2003 John Wiley Sons, Ltd. [References: 19]