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Asymptotic stability of solutions to the nonisentropic hydrodynamic model for semiconductors

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Abstract

In this paper, the asymptotic stability of smooth solutions to the multidimensional nonisentropic hydrodynamic model for semiconductors is established, under the assumption that the initial data are a small perturbation of the stationary solutions for the thermal equilibrium state, whose proofs mainly depend on the basic energy methods.

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Supported by NUAA’s Scientific Fund for the Introduction of Qualified Personnel and the National Natural Science Foundation of China (10571158).

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Xu, J., Fang, Dy. Asymptotic stability of solutions to the nonisentropic hydrodynamic model for semiconductors. Appl. Math. J. Chin. Univ. 23, 151–167 (2008). https://doi.org/10.1007/s11766-008-0204-2

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  • DOI: https://doi.org/10.1007/s11766-008-0204-2

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