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Asymptotic behavior of global smooth solutions to the full 1D hydrodynamic model for semiconductors. (English) Zbl 1174.82349

Summary: In this paper, we study the asymptotic behavior of smooth solutions to the initial boundary value problem for the full one-dimensional hydrodynamic model for semiconductors. We prove that the solution to the problem converges to the unique stationary solution time asymptotically exponentially fast.

MSC:

82D37 Statistical mechanics of semiconductors
35B40 Asymptotic behavior of solutions to PDEs
35L60 First-order nonlinear hyperbolic equations
35L65 Hyperbolic conservation laws
35Q60 PDEs in connection with optics and electromagnetic theory
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
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