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The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors
Journal article   Open access  Peer reviewed

The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors

Ling Hsiao, Peter A. Markowich and Shu Wang
Journal of Differential Equations, Vol.192(1), pp.111-133
20/07/2003
DOI: https://doi.org/10.1016/S0022-0396(03)00063-9

Abstract

Asymptotic behavior Globally smooth solution Multidimensional hydrodynamic model Semiconductors
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→+∞.
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https://doi.org/10.1016/S0022-0396(03)00063-9View
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