Asymptotic convergence to steady-state solutions for solutions of the initial boundary problem to a simplified hydrodynamic model for semiconductor

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. Biography: Ying Gu-liang(1958-), male, Lecturer, research interest: differential equation.