Large-time behavior of solutions to the bipolar quantum Euler-Poisson system with critical time-dependent over-damping
Large-time behavior of solutions to the bipolar quantum Euler-Poisson system with critical time-dependent over-damping
<p style='text-indent:20px;'>We shall investigate the large-time behavior of solutions to the Cauchy problem for the one-dimensional bipolar quantum Euler-Poisson system with critical time-dependent over-damping. By means of the time-weighted energy method, we prove that the smooth solutions to the Cauchy problem exist uniquely and globally, and time-asymptotically converge to the …