Abstract
We studied the asymptotic behavior of solutions to the initial boundary value problem on the spatial interval [0,1] for a one-dimensional simplified gydrodynamic model for semiconductors wheng(t)→b *, and proved the unique global existence of smooth solutions to the initial boundary problem. We also show that the solutions converge to the corresponding steady-state solutions time-asymptotically by introducing the suitable shift functions.
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Biography: Ying Gu-liang(1958-), male, Lecturer, research interest: differential equation.
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Gu-liang, Y. Asymptotic convergence to steady-state solutions for solutions of the initial boundary problem to a simplified hydrodynamic model for semiconductor. Wuhan Univ. J. Nat. Sci. 5, 265–270 (2000). https://doi.org/10.1007/BF02830132
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DOI: https://doi.org/10.1007/BF02830132