Asymptotic behavior of solutions to the bipolar hydrodynamic model of semiconductors in bounded domain

Rosella Sampalmieri, Bruno Rubino, Ming Mei
2012 Kinetic and Related Models  
In this paper we present a physically relevant hydrodynamic model for a bipolar semiconductor device considering Ohmic conductor boundary conditions and a non-flat doping profile. For such an Euler-Poisson system, we prove, by means of a technical energy method, that the solutions are unique, exist globally and asymptotically converge to the corresponding stationary solutions. An exponential decay rate is also derived. Moreover we allow that the two pressure functions can be different. 2000
more » ... different. 2000 Mathematics Subject Classification. Primary: 35L50, 35L60, 35L65; Secondary: 76R50.
doi:10.3934/krm.2012.5.537 fatcat:enfpsghktjbfpn7ymhtchr5mu4