ABSTRACT
We study the initial boundary value problem of bipolar semiconductor hydrodynamic model with recombination-generation rate for the non-constant doping profile. The new feature is that the current distribution for electrons and holes is not constant. In order to overcome this difficulty, the existence and uniqueness of a subsonic stationary solution are first established by elliptic theorem. Then, for such an Euler–Poisson system, we prove, by means of a technical energy method, that the subsonic solutions are unique, exist globally and asymptotically converge to the corresponding stationary solutions. An exponential decay rate is also derived.
Disclosure statement
No potential conflict of interest was reported by the authors.