In this paper we study the asymptotic behavior of globally smooth solutions of the Cauchy problem for the multidimensional isentropic hydrodynamic model for semiconductors in Rd. We prove that smooth solutions (close to equilibrium) of the problem converge to a stationary solution exponentially fast as t → + ∞.
- Asymptotic behavior
- Globally smooth solution
- Multidimensional hydrodynamic model
ASJC Scopus subject areas
- Applied Mathematics